Q: What are the prime factors of the number 24,053,355?

 A: 3, 5, 6599

Why are those the prime factors of the number 24,053,355?

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 24,053,355

24,053,355
Factor Arrows
38,017,785
Factor Arrows
32,672,595
Factor Arrows
3890,865
Factor Arrows
3296,955
Factor Arrows
398,985
Factor Arrows
332,995
Factor Arrows
56,599

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, 6599

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 5 x 6,599 = 24,053,355

This can also be written as 36 x 51 x 6,5991 = 24,053,355

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


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