Q: What are the prime factors of the number 101,751,482?

 A: 2, 7, 449, 16187

Why are those the prime factors of the number 101,751,482?

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 101,751,482

101,751,482
Factor Arrows
250,875,741
Factor Arrows
77,267,963
Factor Arrows
44916,187

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:

2, 7, 449, 16187

We can check our work by multiplying all of the prime factors together: 2 x 7 x 449 x 16,187 = 101,751,482

This can also be written as 21 x 71 x 4491 x 16,1871 = 101,751,482

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


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