Q: What are the prime factors of the number 24,241,056?

 A: 2, 3, 7, 36073

Why are those the prime factors of the number 24,241,056?

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 24,241,056

24,241,056
Factor Arrows
212,120,528
Factor Arrows
26,060,264
Factor Arrows
23,030,132
Factor Arrows
21,515,066
Factor Arrows
2757,533
Factor Arrows
3252,511
Factor Arrows
736,073

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:

2, 3, 7, 36073

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 7 x 36,073 = 24,241,056

This can also be written as 25 x 31 x 71 x 36,0731 = 24,241,056

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


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