Q: What are the prime factors of the number 100,521,620?

 A: 2, 5, 641, 7841

Why are those the prime factors of the number 100,521,620?

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 100,521,620

100,521,620
Factor Arrows
250,260,810
Factor Arrows
225,130,405
Factor Arrows
55,026,081
Factor Arrows
6417,841

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, 5, 641, 7841

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 641 x 7,841 = 100,521,620

This can also be written as 22 x 51 x 6411 x 7,8411 = 100,521,620

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


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