Q: What are the prime factors of the number 100,532,071?

 A: 37, 283, 9601

Why are those the prime factors of the number 100,532,071?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 100,532,071

100,532,071
Factor Arrows
372,717,083
Factor Arrows
2839,601

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

37, 283, 9601

We can check our work by multiplying all of the prime factors together: 37 x 283 x 9,601 = 100,532,071

This can also be written as 371 x 2831 x 9,6011 = 100,532,071

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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