Q: What are the prime factors of the number 20,103,104?

 A: 2, 7, 23, 1951

Why are those the prime factors of the number 20,103,104?

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 20,103,104

20,103,104
Factor Arrows
210,051,552
Factor Arrows
25,025,776
Factor Arrows
22,512,888
Factor Arrows
21,256,444
Factor Arrows
2628,222
Factor Arrows
2314,111
Factor Arrows
744,873
Factor Arrows
231,951

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, 7, 23, 1951

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 7 x 23 x 1,951 = 20,103,104

This can also be written as 26 x 71 x 231 x 1,9511 = 20,103,104

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


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