Factors and multiples test pdf

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To get the GCF multiply all common factors. There is definitely more than one method of solution here, so be sure to ask multiple students to share their strategies for the benefit of all. The problem won't factor, write "prime" and go on.

Unit: Factors and multiples

Prime numbers are useful in finding factors of one or more whole numbers; as shown on pages. They are useful in finding multiples of two or more whole numbers; as shown on pages.

They are useful in finding square roots, cube roots as well as perfect squares and perfect cubes; as shown on pages. The digit 2 is the only even number that is also a prime number.

Example 1: A. E , Question 12 Which of the following is a set of prime numbers? E , Question 26 Find the sum of all prime numbers between 1 and Find the two numbers. Find the sum of the two numbers. E , Question 17 Find the sum of the prime numbers between 1 and Exercise 3: Multiply the biggest prime number between 70 and 80 by the smallest prime number between 10 and Exercise 4: The difference between two prime numbers from 40 to 70 is Find the numbers.

Exercise 5: What is the product of the prime numbers between 1 and 10? Exercise 6: The product of two prime numbers between 10 and 20 is What are the two numbers? Exercise 7: The difference between two prime numbers from to is Exercise 8: N.

E , Question 13 Repeated in L. E , Question 33 The product of two prime numbers is What is the sum of the two numbers? For instance: 17 can become 71 Name the other two-digit prime numbers that have such a feature? Exercise The product of two whole numbers is Their difference is Exercise How many prime numbers between 1 and 10 can be derived as the difference between two different prime numbers between 1 and 20?

Which of the following is not an interesting number? What is the product of the prime numbers? B , Mathematics, Section A, Question 19 If the sum of an even number and a prime number is an even number, what is the actual value of the prime number? It can also be referred to as Divisor. Facts About Factors 1. Every number is a factor of itself, because every number can be divided by itself without a remainder. The number 1 is a factor of every number.

Zero is not a factor of any number, because no number can be divided by 0. Prime Factor This is a whole number which is a factor and also a prime number. Multiple This is a whole number that can be divided by another whole number without a remainder.

Facts About Multiples 1. Every number has an infinite amount of multiples, that is, the multiples of any number are endless in count. Every number is a multiple of 1 and itself. It involves dividing a whole number by its prime factors, starting with its smallest prime factor; as shown in the following examples.

Example 1: List all the prime factors of Solution: 2 1, 2 2 5 5 25 5 5 1 Prime Factors of 1, are: 2 and 5 Example 3: N. E , Question 5 What are the prime factors of ? E , Question 10 Express 48 in prime factors.

E , Question 37 Express 6 x 15 as a product of its prime factors. Remember: 1 is a factor of every number. Example 1: Every Number is a factor of itself. State all the factors of List all the factors of Every Number is a factor of itself.

Factors of 2 are: 1 and 2 ; Factors of 7 are: 1 and 7 Factors of 19 are: 1 and 19 ; Factors of are: 1 and Example 1: If the product of two whole numbers is 79, find the sum of the two numbers. Example 2: NTIC-NMC , 4th Edition, 2nd Round, Question 67 If a prifact number is a nonprime integer, such that each factor of the integer, other than 1 and the integer itself, is a prime number, which of the following is a prifact number?

Example 1: List the first 10 multiples of 3, 4 and 6, using the Step-counting method. Solution: x 1 2 3 4 5 6 7 8 9 10 3 3 6 9 12 15 18 21 24 27 30 4 4 8 12 16 20 24 28 32 36 40 6 6 12 18 24 30 36 42 48 54 60 In the above table: First 10 Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27 and 30 First 10 Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36 and 40 First 10 Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60 Example 2: N.

E , Question 23 How many numbers between 9 and 49 are divisible by 6? Negative Factors and Negative Multiples of Whole Numbers Negative Factors of a whole number are limited in count, that is, every whole number has its minimum and maximum negative factors. Negative Multiples of Whole Numbers are unlimited in count, that is, the negative multiples of every whole number have no definite end.

Example 1: List the negative factors of 12 and the first five negative multiples of the number. E , Question 3 Which of the following represents the prime factors of 30?

E , Question 2 Which of the following represents the prime factors of ? E , Question 7 List all the prime factors of E , Question 26 All the factors of 6 are E , Question 15 All the factors of 24 are E , Question 33 A Express as a product of prime factors.

E , Question 8 D Verify Express as a product of prime factors. E , Question 45 Express as a product of prime numbers. E , Question 21 Express 96 as a product of its prime factors in index form. E , Question 37 Express as a product of prime factors.

E , Question 39 Which of the following is equal to 60? Which of the following cannot be the result of the multiplication?

E , Question 7 Express as a product of prime factors in index form. E , Question 13 The product of the prime factors of can be expressed as What is the missing digit represented by A in the 3-digit amount of money?

Then, take the common prime factors and their products, as well as the number 1, as the common factors of the whole numbers; as shown in the following examples. Highest Common Factor abbreviated as H. F This is the highest of the common factors of two or more whole numbers. The Highest Common Factor of two or more whole numbers can be derived as the product of the common prime factors of the whole numbers.

Example 1: Find the common factors and highest common factor of 36, 90 and NOTE: 2 36, 90, 3 18, 45, 63 common prime factors at 3 6, 15, 21 their respective levels. Example 2: N. E , Question 37 What are the common factors of 15, 30 and 60? NOTE: 3 15, 30, 60 common prime factors at 5 5, 10, 20 H. E , Question 47 Find the H. E , Question 41 Find the H. Lowest Common Multiple abbreviated as L. M This is the smallest whole number by which two or more whole numbers can be divided without a remainder.

Example 1: Identify the common multiples and lowest common multiple of 3, 4 and 6 in the table below. Example 1: N. E , Question 14 Find the L.

Factors And Multiples Worksheet

In particular, the lesson will help you to identify and help students who:. Timings given are approximate and will depend on the needs of your class. This lesson involves a range of mathematical practices from the standards, with emphasis on:. This lesson asks students to select and apply mathematical content from across the grades, including the content standards:. Grade: 6 7 8 High School.

Here is a graphic preview for all of the Factors Worksheets. You can select different variables to customize these Factors Worksheets for your needs. The Factors Worksheets are randomly created and will never repeat so you have an endless supply of quality Factors Worksheets to use in the classroom or at home. Our Factors Worksheets are free to download, easy to use, and very flexible. Click here for a Detailed Description of all the Factors Worksheets. Prime Factorization Trees Worksheets These factor tree worksheets are great for practicing finding all of the prime factors contained in a number. The Prime Factorization Trees Worksheets are great visual aids.

CBSE Class 6 Mathematics Factors And Multiples Worksheet Set A

Welcome to our Factors and Multiples Worksheets. These sheets have been designed to support your child with their learning of multiples and factors. The sheets are graded in order of difficulty with the easiest sheet coming first in each section.

In addition to identifying whether the statement is a fact or opinion, students explain how the statement might be proven if it is factual. Multiply the first and last terms. The main difference between factors and multiples is Mathematics is a universe of numbers, where we study number, its types and the concepts relating to it. Sometimes searching the internet will lead to lesson plans that are already developed.

Mathematics Assessment Project

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Factor Trees

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