Q: What are the prime factors of the number 24,120,415?

 A: 5, 11, 113, 3881

Why are those the prime factors of the number 24,120,415?

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 24,120,415

24,120,415
Factor Arrows
54,824,083
Factor Arrows
11438,553
Factor Arrows
1133,881

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:

5, 11, 113, 3881

We can check our work by multiplying all of the prime factors together: 5 x 11 x 113 x 3,881 = 24,120,415

This can also be written as 51 x 111 x 1131 x 3,8811 = 24,120,415

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


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