Q: What are the prime factors of the number 23,501,036?

 A: 2, 13, 41, 73, 151

Why are those the prime factors of the number 23,501,036?

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 23,501,036

23,501,036
Factor Arrows
211,750,518
Factor Arrows
25,875,259
Factor Arrows
13451,943
Factor Arrows
4111,023
Factor Arrows
73151

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, 13, 41, 73, 151

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 41 x 73 x 151 = 23,501,036

This can also be written as 22 x 131 x 411 x 731 x 1511 = 23,501,036

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


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