Q: What are the prime factors of the number 21,452,472?

 A: 2, 3, 99317

Why are those the prime factors of the number 21,452,472?

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 21,452,472

21,452,472
Factor Arrows
210,726,236
Factor Arrows
25,363,118
Factor Arrows
22,681,559
Factor Arrows
3893,853
Factor Arrows
3297,951
Factor Arrows
399,317

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, 99317

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 99,317 = 21,452,472

This can also be written as 23 x 33 x 99,3171 = 21,452,472

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


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