Q: What are the prime factors of the number 20,273,490?

 A: 2, 3, 5, 103

Why are those the prime factors of the number 20,273,490?

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 20,273,490

20,273,490
Factor Arrows
210,136,745
Factor Arrows
33,378,915
Factor Arrows
31,126,305
Factor Arrows
3375,435
Factor Arrows
3125,145
Factor Arrows
341,715
Factor Arrows
313,905
Factor Arrows
34,635
Factor Arrows
31,545
Factor Arrows
3515
Factor Arrows
5103

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, 103

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 103 = 20,273,490

This can also be written as 21 x 39 x 51 x 1031 = 20,273,490

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


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