Q: What are the prime factors of the number 24,250,941?

 A: 3, 11, 13, 571

Why are those the prime factors of the number 24,250,941?

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 24,250,941

24,250,941
Factor Arrows
38,083,647
Factor Arrows
32,694,549
Factor Arrows
3898,183
Factor Arrows
1181,653
Factor Arrows
117,423
Factor Arrows
13571

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, 11, 13, 571

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 11 x 11 x 13 x 571 = 24,250,941

This can also be written as 33 x 112 x 131 x 5711 = 24,250,941

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


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