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Chapter 1: Q. 386R (page 90)

Find the prime factorization of 252.

Short Answer

Expert verified

The prime factorization of 252 is22脳32脳7.

Step by step solution

01

Step 1. Prime factorization

The prime factorization of a number is calculated as follows.

  • Find two factors whose product is the given number, and use these numbers to create two branches.
  • If a factor is prime, that branch is complete. Circle the prime, like a bud on the tree.
  • If a factor is not prime, write it as the product of two factors and continue the process.
  • Write the composite number as the product of all the circled primes.
02

Step 2. Factor tree.


Use the prime factorization method defined in the previous step, the factor tree is drawn as shown below.

03

Step 3. Derivation.

From the factor tree, the prime factors of 252 are shown below.

252=2脳2脳3脳3脳7252=22脳32脳7

04

Step 4. Conclusion.

The prime factorization of 252 is22脳32脳7.

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Most popular questions from this chapter

In the following exercises, find the prime factorization.

432

Translate the English phrase into an algebraic expression:

a. the difference of 14x2 and 13

b. the quotient of 12x and 2

c. 13 more than z

d. 18 less than 8x

Is 3,765 divisible by (a) 2? (b) 3? (c) 5? (d) 6? (e) 10?

In the following exercises, find the least common multiple of each pair of numbers using the prime factors method.

28, 40

1000.7+0.15p
See all solutions

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