Q: What are the prime factors of the number 20,657,380?

 A: 2, 5, 17, 60757

Why are those the prime factors of the number 20,657,380?

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 20,657,380

20,657,380
Factor Arrows
210,328,690
Factor Arrows
25,164,345
Factor Arrows
51,032,869
Factor Arrows
1760,757

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, 17, 60757

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 60,757 = 20,657,380

This can also be written as 22 x 51 x 171 x 60,7571 = 20,657,380

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


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