Q: What are the prime factors of the number 74,020,390?

 A: 2, 5, 19, 223, 1747

Why are those the prime factors of the number 74,020,390?

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 74,020,390

74,020,390
Factor Arrows
237,010,195
Factor Arrows
57,402,039
Factor Arrows
19389,581
Factor Arrows
2231,747

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, 5, 19, 223, 1747

We can check our work by multiplying all of the prime factors together: 2 x 5 x 19 x 223 x 1,747 = 74,020,390

This can also be written as 21 x 51 x 191 x 2231 x 1,7471 = 74,020,390

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


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