Q: What are the prime factors of the number 72,843,260?

 A: 2, 5, 7, 520309

Why are those the prime factors of the number 72,843,260?

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 72,843,260

72,843,260
Factor Arrows
236,421,630
Factor Arrows
218,210,815
Factor Arrows
53,642,163
Factor Arrows
7520,309

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, 5, 7, 520309

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 520,309 = 72,843,260

This can also be written as 22 x 51 x 71 x 520,3091 = 72,843,260

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


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