Q: What are the prime factors of the number 48,168,880?

 A: 2, 5, 602111

Why are those the prime factors of the number 48,168,880?

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 48,168,880

48,168,880
Factor Arrows
224,084,440
Factor Arrows
212,042,220
Factor Arrows
26,021,110
Factor Arrows
23,010,555
Factor Arrows
5602,111

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, 5, 602111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 602,111 = 48,168,880

This can also be written as 24 x 51 x 602,1111 = 48,168,880

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


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