Q: What are the prime factors of the number 68,550,080?

 A: 2, 5, 214219

Why are those the prime factors of the number 68,550,080?

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 68,550,080

68,550,080
Factor Arrows
234,275,040
Factor Arrows
217,137,520
Factor Arrows
28,568,760
Factor Arrows
24,284,380
Factor Arrows
22,142,190
Factor Arrows
21,071,095
Factor Arrows
5214,219

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, 214219

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 5 x 214,219 = 68,550,080

This can also be written as 26 x 51 x 214,2191 = 68,550,080

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


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