Q: What are the prime factors of the number 74,990,776?

 A: 2, 7, 27329

Why are those the prime factors of the number 74,990,776?

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 74,990,776

74,990,776
Factor Arrows
237,495,388
Factor Arrows
218,747,694
Factor Arrows
29,373,847
Factor Arrows
71,339,121
Factor Arrows
7191,303
Factor Arrows
727,329

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, 7, 27329

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 7 x 7 x 27,329 = 74,990,776

This can also be written as 23 x 73 x 27,3291 = 74,990,776

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


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