Q: What are the prime factors of the number 24,470,832?

 A: 2, 3, 47, 10847

Why are those the prime factors of the number 24,470,832?

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 24,470,832

24,470,832
Factor Arrows
212,235,416
Factor Arrows
26,117,708
Factor Arrows
23,058,854
Factor Arrows
21,529,427
Factor Arrows
3509,809
Factor Arrows
4710,847

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, 47, 10847

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 47 x 10,847 = 24,470,832

This can also be written as 24 x 31 x 471 x 10,8471 = 24,470,832

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


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