Q: What are the prime factors of the number 45,569,832?

 A: 2, 3, 7, 11, 24659

Why are those the prime factors of the number 45,569,832?

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 45,569,832

45,569,832
Factor Arrows
222,784,916
Factor Arrows
211,392,458
Factor Arrows
25,696,229
Factor Arrows
31,898,743
Factor Arrows
7271,249
Factor Arrows
1124,659

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, 11, 24659

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 7 x 11 x 24,659 = 45,569,832

This can also be written as 23 x 31 x 71 x 111 x 24,6591 = 45,569,832

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


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