Q: What are the prime factors of the number 48,607,992?

 A: 2, 3, 225037

Why are those the prime factors of the number 48,607,992?

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 48,607,992

48,607,992
Factor Arrows
224,303,996
Factor Arrows
212,151,998
Factor Arrows
26,075,999
Factor Arrows
32,025,333
Factor Arrows
3675,111
Factor Arrows
3225,037

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, 225037

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 225,037 = 48,607,992

This can also be written as 23 x 33 x 225,0371 = 48,607,992

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


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