Q: What are the prime factors of the number 44,718,015?

 A: 3, 5, 37, 197, 409

Why are those the prime factors of the number 44,718,015?

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 44,718,015

44,718,015
Factor Arrows
314,906,005
Factor Arrows
52,981,201
Factor Arrows
3780,573
Factor Arrows
197409

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, 5, 37, 197, 409

We can check our work by multiplying all of the prime factors together: 3 x 5 x 37 x 197 x 409 = 44,718,015

This can also be written as 31 x 51 x 371 x 1971 x 4091 = 44,718,015

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


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