Q: What are the prime factors of the number 73,187,460?

 A: 2, 3, 5, 41, 47, 211

Why are those the prime factors of the number 73,187,460?

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 73,187,460

73,187,460
Factor Arrows
236,593,730
Factor Arrows
218,296,865
Factor Arrows
36,098,955
Factor Arrows
32,032,985
Factor Arrows
5406,597
Factor Arrows
419,917
Factor Arrows
47211

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, 5, 41, 47, 211

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 41 x 47 x 211 = 73,187,460

This can also be written as 22 x 32 x 51 x 411 x 471 x 2111 = 73,187,460

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


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