Q: What are the prime factors of the number 20,257,920?

 A: 2, 3, 5, 3517

Why are those the prime factors of the number 20,257,920?

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 20,257,920

20,257,920
Factor Arrows
210,128,960
Factor Arrows
25,064,480
Factor Arrows
22,532,240
Factor Arrows
21,266,120
Factor Arrows
2633,060
Factor Arrows
2316,530
Factor Arrows
2158,265
Factor Arrows
352,755
Factor Arrows
317,585
Factor Arrows
53,517

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, 3517

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 2 x 3 x 3 x 5 x 3,517 = 20,257,920

This can also be written as 27 x 32 x 51 x 3,5171 = 20,257,920

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


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