Q: What are the prime factors of the number 10,416,015?

 A: 3, 5, 211, 1097

Why are those the prime factors of the number 10,416,015?

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 10,416,015

10,416,015
Factor Arrows
33,472,005
Factor Arrows
31,157,335
Factor Arrows
5231,467
Factor Arrows
2111,097

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, 211, 1097

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 211 x 1,097 = 10,416,015

This can also be written as 32 x 51 x 2111 x 1,0971 = 10,416,015

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


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