Q: What are the prime factors of the number 73,788,837?

 A: 3, 19, 331, 3911

Why are those the prime factors of the number 73,788,837?

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 73,788,837

73,788,837
Factor Arrows
324,596,279
Factor Arrows
191,294,541
Factor Arrows
3313,911

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, 19, 331, 3911

We can check our work by multiplying all of the prime factors together: 3 x 19 x 331 x 3,911 = 73,788,837

This can also be written as 31 x 191 x 3311 x 3,9111 = 73,788,837

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


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