Q: What are the prime factors of the number 92,567,391?

 A: 3, 7, 29, 97, 1567

Why are those the prime factors of the number 92,567,391?

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 92,567,391

92,567,391
Factor Arrows
330,855,797
Factor Arrows
74,407,971
Factor Arrows
29151,999
Factor Arrows
971,567

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, 7, 29, 97, 1567

We can check our work by multiplying all of the prime factors together: 3 x 7 x 29 x 97 x 1,567 = 92,567,391

This can also be written as 31 x 71 x 291 x 971 x 1,5671 = 92,567,391

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


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