Q: What are the prime factors of the number 92,323,105?

 A: 5, 7, 139, 2711

Why are those the prime factors of the number 92,323,105?

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 92,323,105

92,323,105
Factor Arrows
518,464,621
Factor Arrows
72,637,803
Factor Arrows
7376,829
Factor Arrows
1392,711

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, 7, 139, 2711

We can check our work by multiplying all of the prime factors together: 5 x 7 x 7 x 139 x 2,711 = 92,323,105

This can also be written as 51 x 72 x 1391 x 2,7111 = 92,323,105

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


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