Q: What are the prime factors of the number 20,661,355?

 A: 5, 11, 13, 37, 71

Why are those the prime factors of the number 20,661,355?

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 20,661,355

20,661,355
Factor Arrows
54,132,271
Factor Arrows
11375,661
Factor Arrows
1134,151
Factor Arrows
132,627
Factor Arrows
3771

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:

5, 11, 13, 37, 71

We can check our work by multiplying all of the prime factors together: 5 x 11 x 11 x 13 x 37 x 71 = 20,661,355

This can also be written as 51 x 112 x 131 x 371 x 711 = 20,661,355

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


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