Q: What are the prime factors of the number 92,045,424?

 A: 2, 3, 19, 100927

Why are those the prime factors of the number 92,045,424?

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 92,045,424

92,045,424
Factor Arrows
246,022,712
Factor Arrows
223,011,356
Factor Arrows
211,505,678
Factor Arrows
25,752,839
Factor Arrows
31,917,613
Factor Arrows
19100,927

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, 19, 100927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 100,927 = 92,045,424

This can also be written as 24 x 31 x 191 x 100,9271 = 92,045,424

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


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