Q: What are the prime factors of the number 92,422,260?

 A: 2, 3, 5, 7, 73351

Why are those the prime factors of the number 92,422,260?

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 92,422,260

92,422,260
Factor Arrows
246,211,130
Factor Arrows
223,105,565
Factor Arrows
37,701,855
Factor Arrows
32,567,285
Factor Arrows
5513,457
Factor Arrows
773,351

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, 3, 5, 7, 73351

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 7 x 73,351 = 92,422,260

This can also be written as 22 x 32 x 51 x 71 x 73,3511 = 92,422,260

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


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