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Chapter 1: Q.11 (page 21)

In the following exercises, find the prime factorization.

432

Short Answer

Expert verified

The prime factorization of 432 is 2路2路2路2路3路3路3

Step by step solution

01

Step 1. Given information

The given number is 432.

The prime factorization of the given number is to be determined.

02

Step 2. Calculating the prime factors

For prime factorization, the given number is to be factored such that all the factors are prime numbers:

432=2路216432=2路2路108432=2路2路2路54432=2路2路2路2路27432=2路2路2路2路3路9432=2路2路2路2路3路3路3

The factors are all primes here and cannot be further factored.

03

Step 3. Conclusion

Therefore, the prime factorization of 432 is 2路2路2路2路3路3路3

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