Q: What are the prime factors of the number 23,524,940?

 A: 2, 5, 17, 69191

Why are those the prime factors of the number 23,524,940?

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 23,524,940

23,524,940
Factor Arrows
211,762,470
Factor Arrows
25,881,235
Factor Arrows
51,176,247
Factor Arrows
1769,191

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, 17, 69191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17 x 69,191 = 23,524,940

This can also be written as 22 x 51 x 171 x 69,1911 = 23,524,940

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


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