Q: What are the prime factors of the number 20,655,104?

 A: 2, 23, 877

Why are those the prime factors of the number 20,655,104?

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 20,655,104

20,655,104
Factor Arrows
210,327,552
Factor Arrows
25,163,776
Factor Arrows
22,581,888
Factor Arrows
21,290,944
Factor Arrows
2645,472
Factor Arrows
2322,736
Factor Arrows
2161,368
Factor Arrows
280,684
Factor Arrows
240,342
Factor Arrows
220,171
Factor Arrows
23877

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, 23, 877

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 2 x 2 x 2 x 23 x 877 = 20,655,104

This can also be written as 210 x 231 x 8771 = 20,655,104

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


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