Q: What are the prime factors of the number 74,421,056?

 A: 2, 311, 3739

Why are those the prime factors of the number 74,421,056?

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 74,421,056

74,421,056
Factor Arrows
237,210,528
Factor Arrows
218,605,264
Factor Arrows
29,302,632
Factor Arrows
24,651,316
Factor Arrows
22,325,658
Factor Arrows
21,162,829
Factor Arrows
3113,739

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, 311, 3739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 311 x 3,739 = 74,421,056

This can also be written as 26 x 3111 x 3,7391 = 74,421,056

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


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