Q: What are the prime factors of the number 92,824,480?

 A: 2, 5, 7, 67, 1237

Why are those the prime factors of the number 92,824,480?

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 92,824,480

92,824,480
Factor Arrows
246,412,240
Factor Arrows
223,206,120
Factor Arrows
211,603,060
Factor Arrows
25,801,530
Factor Arrows
22,900,765
Factor Arrows
5580,153
Factor Arrows
782,879
Factor Arrows
671,237

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:

2, 5, 7, 67, 1237

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 7 x 67 x 1,237 = 92,824,480

This can also be written as 25 x 51 x 71 x 671 x 1,2371 = 92,824,480

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


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