Q: What are the prime factors of the number 21,262,428?

 A: 2, 3, 11, 53693

Why are those the prime factors of the number 21,262,428?

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 21,262,428

21,262,428
Factor Arrows
210,631,214
Factor Arrows
25,315,607
Factor Arrows
31,771,869
Factor Arrows
3590,623
Factor Arrows
1153,693

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, 11, 53693

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11 x 53,693 = 21,262,428

This can also be written as 22 x 32 x 111 x 53,6931 = 21,262,428

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


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