Q: What are the prime factors of the number 20,210,904?

 A: 2, 3, 7, 13367

Why are those the prime factors of the number 20,210,904?

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 20,210,904

20,210,904
Factor Arrows
210,105,452
Factor Arrows
25,052,726
Factor Arrows
22,526,363
Factor Arrows
3842,121
Factor Arrows
3280,707
Factor Arrows
393,569
Factor Arrows
713,367

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, 7, 13367

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 7 x 13,367 = 20,210,904

This can also be written as 23 x 33 x 71 x 13,3671 = 20,210,904

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


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