Q: What are the prime factors of the number 101,510,315?

 A: 5, 17, 43, 27773

Why are those the prime factors of the number 101,510,315?

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 101,510,315

101,510,315
Factor Arrows
520,302,063
Factor Arrows
171,194,239
Factor Arrows
4327,773

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, 17, 43, 27773

We can check our work by multiplying all of the prime factors together: 5 x 17 x 43 x 27,773 = 101,510,315

This can also be written as 51 x 171 x 431 x 27,7731 = 101,510,315

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


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