Q: What are the prime factors of the number 72,370,683?

 A: 3, 7, 11, 17, 6143

Why are those the prime factors of the number 72,370,683?

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 72,370,683

72,370,683
Factor Arrows
324,123,561
Factor Arrows
38,041,187
Factor Arrows
71,148,741
Factor Arrows
11104,431
Factor Arrows
176,143

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, 7, 11, 17, 6143

We can check our work by multiplying all of the prime factors together: 3 x 3 x 7 x 11 x 17 x 6,143 = 72,370,683

This can also be written as 32 x 71 x 111 x 171 x 6,1431 = 72,370,683

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


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