Q: What are the prime factors of the number 40,030,315?

 A: 5, 13, 227, 2713

Why are those the prime factors of the number 40,030,315?

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 40,030,315

40,030,315
Factor Arrows
58,006,063
Factor Arrows
13615,851
Factor Arrows
2272,713

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:

5, 13, 227, 2713

We can check our work by multiplying all of the prime factors together: 5 x 13 x 227 x 2,713 = 40,030,315

This can also be written as 51 x 131 x 2271 x 2,7131 = 40,030,315

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


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