Q: What are the prime factors of the number 80,111,520?

 A: 2, 3, 5, 55633

Why are those the prime factors of the number 80,111,520?

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 80,111,520

80,111,520
Factor Arrows
240,055,760
Factor Arrows
220,027,880
Factor Arrows
210,013,940
Factor Arrows
25,006,970
Factor Arrows
22,503,485
Factor Arrows
3834,495
Factor Arrows
3278,165
Factor Arrows
555,633

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, 5, 55633

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 55,633 = 80,111,520

This can also be written as 25 x 32 x 51 x 55,6331 = 80,111,520

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


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