Q: What are the prime factors of the number 101,132,520?

 A: 2, 3, 5, 842771

Why are those the prime factors of the number 101,132,520?

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 101,132,520

101,132,520
Factor Arrows
250,566,260
Factor Arrows
225,283,130
Factor Arrows
212,641,565
Factor Arrows
34,213,855
Factor Arrows
5842,771

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, 3, 5, 842771

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 842,771 = 101,132,520

This can also be written as 23 x 31 x 51 x 842,7711 = 101,132,520

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


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