Q: What are the prime factors of the number 12,038,625?

 A: 3, 5, 29, 41

Why are those the prime factors of the number 12,038,625?

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 12,038,625

12,038,625
Factor Arrows
34,012,875
Factor Arrows
31,337,625
Factor Arrows
3445,875
Factor Arrows
3148,625
Factor Arrows
529,725
Factor Arrows
55,945
Factor Arrows
51,189
Factor Arrows
2941

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, 29, 41

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 5 x 5 x 5 x 29 x 41 = 12,038,625

This can also be written as 34 x 53 x 291 x 411 = 12,038,625

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


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