Q: What are the prime factors of the number 63,276,840?

 A: 2, 3, 5, 11, 19, 29

Why are those the prime factors of the number 63,276,840?

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 63,276,840

63,276,840
Factor Arrows
231,638,420
Factor Arrows
215,819,210
Factor Arrows
27,909,605
Factor Arrows
32,636,535
Factor Arrows
3878,845
Factor Arrows
5175,769
Factor Arrows
1115,979
Factor Arrows
19841
Factor Arrows
2929

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, 11, 19, 29

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 11 x 19 x 29 x 29 = 63,276,840

This can also be written as 23 x 32 x 51 x 111 x 191 x 292 = 63,276,840

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


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