Q: What are the prime factors of the number 72,707,832?

 A: 2, 3, 19, 53149

Why are those the prime factors of the number 72,707,832?

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 72,707,832

72,707,832
Factor Arrows
236,353,916
Factor Arrows
218,176,958
Factor Arrows
29,088,479
Factor Arrows
33,029,493
Factor Arrows
31,009,831
Factor Arrows
1953,149

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, 19, 53149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 19 x 53,149 = 72,707,832

This can also be written as 23 x 32 x 191 x 53,1491 = 72,707,832

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


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