Q: What are the prime factors of the number 24,432,832?

 A: 2, 479, 797

Why are those the prime factors of the number 24,432,832?

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 24,432,832

24,432,832
Factor Arrows
212,216,416
Factor Arrows
26,108,208
Factor Arrows
23,054,104
Factor Arrows
21,527,052
Factor Arrows
2763,526
Factor Arrows
2381,763
Factor Arrows
479797

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, 479, 797

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 479 x 797 = 24,432,832

This can also be written as 26 x 4791 x 7971 = 24,432,832

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


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