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 $2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3$

Step by step solution

Step 1. Given information

The given number is 432.

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

Step 2. Calculating the prime factors

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

$432 = 2 \cdot 216 432 = 2 \cdot 2 \cdot 108 432 = 2 \cdot 2 \cdot 2 \cdot 54 432 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 27 432 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 9 432 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3$

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

Step 3. Conclusion

Therefore, the prime factorization of 432 is $2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3$

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In the following exercises, find the prime factorization.
432

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the prime factors

Step 3. Conclusion

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In the following exercises, find the prime factorization.432

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the prime factors

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Decision Maths

Applied Mathematics

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, find the prime factorization.
432