Q: What are the prime factors of the number 61,563,816?

 A: 2, 3, 71, 12043

Why are those the prime factors of the number 61,563,816?

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 61,563,816

61,563,816
Factor Arrows
230,781,908
Factor Arrows
215,390,954
Factor Arrows
27,695,477
Factor Arrows
32,565,159
Factor Arrows
3855,053
Factor Arrows
7112,043

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, 71, 12043

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 71 x 12,043 = 61,563,816

This can also be written as 23 x 32 x 711 x 12,0431 = 61,563,816

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


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