Q: What are the prime factors of the number 45,575,008?

 A: 2, 29, 67, 733

Why are those the prime factors of the number 45,575,008?

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 45,575,008

45,575,008
Factor Arrows
222,787,504
Factor Arrows
211,393,752
Factor Arrows
25,696,876
Factor Arrows
22,848,438
Factor Arrows
21,424,219
Factor Arrows
2949,111
Factor Arrows
67733

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, 29, 67, 733

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 29 x 67 x 733 = 45,575,008

This can also be written as 25 x 291 x 671 x 7331 = 45,575,008

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


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