# Write a number as a product of prime factors worksheet

A prime number is a number that can only be divided by number 1 and itself or a number with exactly 2 factors.

## Start your 14 day trial for £1

Prime factorization is the method of expressing a number as a product of prime numbers. Difference between factors and prime factors Factors are numbers we can multiply together to get a number. A multiple is the product of a number and any whole number except zero.

For example, 1, 2,3 and 6 are the factors of 6. Prime factors of a number means, we have to choose only prime numbers among factors of the given number. So that their product will be the original number.

But 2 and 3 are the prime factors of 6. Usually we have two methods of finding the prime factorization of a number i Factor tree method ii Using a ladder diagram Use a factor tree to find the prime factorization Using the steps given below, we can find the prime factors of a number.

List the factor pairs of the given number.

Choose any factor pair to begin the tree. If a number in this pair is prime, circle it. If a number in the pair can be written as a product of two factors, draw additional branches and write the factors.

Continue adding branches until the factors at the ends of the branches are prime numbers. Write the prime factorization of the given number. We can use exponents to represent repeated factors.

The tricks given below will be helpful to find the prime number which exactly divides the given number.

## BBC Bitesize - KS3 Maths - Prime numbers, factors and multiples - Test

A number which ends with 0, 2, 4, 6 and 8 is divisible by the smallest prime number 2. A number which ends with 0 or 5 is divisible by 5 If the sum of digits of the given number is a multiple of 3, then the given number is divisible by 3.

Use a factor tree to find the prime factorization of Using a ladder diagram A ladder diagram is another way to find the prime factorization of a number. Steps followed in the above method: Put the given number inside the "L" shape Step 2: We have to split the given number by prime numbers only.

Take the first digit of the given number and check how many times the prime number goes in to that. Further process is explained in the examples given below. Find the prime factors of by using ladder diagram Solution: Since the given number ends with 4, first we have to split the given number by the smallest even prime number 2.

We have 1 left.

Product of Primes. 4 customer reviews. Author: Created by Tristanjones. Preview. Product of Prime Factors. Report a problem. This resource is designed for UK teachers. worksheet. GCSE Solving simultaneous equations using a graphical method. This worksheet only has straight line graphs. No curves. I haven’t put numbers on the /5(4). Factors Worksheets Prime Factorization Tree Worksheets. These factorization worksheets are great for practicing finding all of the prime factors contained in a number. The Prime Factorization Tree is a great visual aids. The problems may be selected from two different degrees of difficulty. Any number can be expressed as a product of prime numbers. For example $$24 = 2^3 \times 3$$.

If we take this 1 along with the next digit 2, we get If we divide this by 2, we get 6. So we can take the next digit 4. Again, if we divide 4 by 2, we get 2.Worksheets are Factors and factorization, Mathvine, Prime factorization work answer key prime factors, New Look!

Common Core; Prime Factorization Worksheet Answer Key Prime Factors Can't see worksheet? Pre Primer Pre Primer Cloze Passages Pre Primer Words Prime And Composite Prime And Composite Chart Prime And Composite Number.

Prime Factorization OBJECTIVES 1. Find the factors of a natural number 2. Determine whether a number is prime, composite, or neither 3. Find the prime factorization for a number 4.

## Printable Factors and Multiples Worksheets

Find the GCF for two or more numbers Overcoming Math Anxiety To write 60 as a product of prime factors, divide 2 into 60 for a quotient of . Write down: (a) the square root of 81 (b) prime factors of 30 Grade 8 Primes, Factors, and Multiples A.

Write the Factors of 96 and in index form. B. Find the HCF of 96 and In order to find the prime factors of a number, write the number as a product of prime numbers.

Then the distinct factors are the prime factors of the number: 35 is 5 times 7, 5 and 7 are prime, so the prime factors of 35 are 5 and 7.

## Prime Factorization & The Unique Factorization Theorem - Bubbly Primes

By Mark Zegarelli. Every number is the product of a unique set of prime factors, a group of prime numbers (including repeats) that, when multiplied together, equals that number. You can find those prime factors for a given number, by using a process called decomposition..

An easy way to decompose a number is to make a factorization tree. Indeed, there is a 'rule' for all numbers: the exponent is half the number of timberdesignmag.com, for example, the product of the six factors of 12 equals 12 timberdesignmag.com students take some convincing that the exponent in the case of prime numbers - that is, one - is legitimate.

How to Factor a Number: 11 Steps (with Pictures) - wikiHow