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Chapter 4: Q1. (page 174)

Describe how to write the prime factorization of a number.

Short Answer

Expert verified

Prime factor of 12 is 12=2×2×3.

Step by step solution

01

Step-1 – Given

A number will be given, and we have to find its prime factorization.

02

Step-2 – To determine

We have to write the prime factorization of a number.

03

Step-3 – Calculation

“Prime Factorization" means to find prime numbers those multiply together to make the original number.

For example:Find the prime factors of 12?

We first start with the smallest prime number, that is 2. We will try to divide 12 by 2.

12÷2=6

12 is perfectly divided by 2.

6 is not a prime number. We will divide by 2 again:

6÷2=3

2 also perfectly divided 6. And 3 is a prime number, this means the prime factorization of 12 is:

12=2×2×3

As we can see, every factor is a prime number. It means the answer is right.

Note: 12=2×2×3can also be written as 12=22×3

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