Q: What are the prime factors of the number 72,356,025?

 A: 3, 5, 7, 283, 487

Why are those the prime factors of the number 72,356,025?

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 72,356,025

72,356,025
Factor Arrows
324,118,675
Factor Arrows
54,823,735
Factor Arrows
5964,747
Factor Arrows
7137,821
Factor Arrows
283487

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:

3, 5, 7, 283, 487

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 283 x 487 = 72,356,025

This can also be written as 31 x 52 x 71 x 2831 x 4871 = 72,356,025

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


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