Q: What are the prime factors of the number 72,694,496?

 A: 2, 7, 324529

Why are those the prime factors of the number 72,694,496?

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 72,694,496

72,694,496
Factor Arrows
236,347,248
Factor Arrows
218,173,624
Factor Arrows
29,086,812
Factor Arrows
24,543,406
Factor Arrows
22,271,703
Factor Arrows
7324,529

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, 7, 324529

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 324,529 = 72,694,496

This can also be written as 25 x 71 x 324,5291 = 72,694,496

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


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