Q: What are the prime factors of the number 91,569,220?

 A: 2, 5, 191, 23971

Why are those the prime factors of the number 91,569,220?

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 91,569,220

91,569,220
Factor Arrows
245,784,610
Factor Arrows
222,892,305
Factor Arrows
54,578,461
Factor Arrows
19123,971

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, 191, 23971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 191 x 23,971 = 91,569,220

This can also be written as 22 x 51 x 1911 x 23,9711 = 91,569,220

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


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