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Chapter 1: Q.935 (page 190)

In the following exercises, find the prime factorization.

420

Short Answer

Expert verified

Prime factorization of 420 is2脳3脳5脳7.

Step by step solution

01

Step 1. Given information.

We have given number is, 420.

02

Step 2. Concept used.

Prime factorization is a way of expressing a number as a product of its prime factors.

03

Step 3. Explanation.

We have given number is 420,

Here on the unit place of 420 we have 0 so 420 is divisible by 5,

We will get,

420=5脳84

On the unit place we have 4 so 84 is divisible by 4.

420=5脳4脳21

21 is the multiple of 3 so 3 is divisible by 3.

420=5脳4脳7脳3

We know that the prime factors of 4 are 2 x 2.

So prime factorization of 420 is 420=2脳2脳3脳5脳7.

04

Step 4. Conclusion.

Hence, prime factorization of 420 is 2脳2脳3脳5脳7.

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Most popular questions from this chapter

In the following exercise, simplify the expression:-42

The width of a rectangle is 6 less than the length. Let l represent the length of the rectangle. Write an expression for the width of the rectangle.

Simplify using the order of operations.

a)2+6脳3b)(2+6)脳3

Translate Algebra to English.

(2)(7)

Simplify:

a)12鈭�5脳2b)(12鈭�5)脳2.
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