Q: What are the prime factors of the number 24,043,425?

 A: 3, 5, 7, 41, 1117

Why are those the prime factors of the number 24,043,425?

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 24,043,425

24,043,425
Factor Arrows
38,014,475
Factor Arrows
51,602,895
Factor Arrows
5320,579
Factor Arrows
745,797
Factor Arrows
411,117

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:

3, 5, 7, 41, 1117

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 41 x 1,117 = 24,043,425

This can also be written as 31 x 52 x 71 x 411 x 1,1171 = 24,043,425

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


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