Chapter 1: Q.10 (page 21)

In the following exercises, find the prime factorization.
400

Short Answer

Expert verified

The prime factorization of 400 is $2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5$

Step by step solution

Step 1. Given information

The given number is 400.

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:

$400 = 2 \cdot 200 400 = 2 \cdot 2 \cdot 100 400 = 2 \cdot 2 \cdot 2 \cdot 50 400 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 25 400 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5$

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

Step 3. Conclusion

Therefore, the prime factorization of 400 is $2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \cdot 5$

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In the following exercises, find the prime factorization.
400

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.400

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

Applied Mathematics

Discrete Mathematics

Statistics

Decision Maths

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, find the prime factorization.
400