Q: What are the prime factors of the number 20,116,160?

 A: 2, 5, 37, 1699

Why are those the prime factors of the number 20,116,160?

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 20,116,160

20,116,160
Factor Arrows
210,058,080
Factor Arrows
25,029,040
Factor Arrows
22,514,520
Factor Arrows
21,257,260
Factor Arrows
2628,630
Factor Arrows
2314,315
Factor Arrows
562,863
Factor Arrows
371,699

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, 37, 1699

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 37 x 1,699 = 20,116,160

This can also be written as 26 x 51 x 371 x 1,6991 = 20,116,160

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


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