Q: What are the prime factors of the number 80,888,600?

 A: 2, 5, 13, 53, 587

Why are those the prime factors of the number 80,888,600?

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 80,888,600

80,888,600
Factor Arrows
240,444,300
Factor Arrows
220,222,150
Factor Arrows
210,111,075
Factor Arrows
52,022,215
Factor Arrows
5404,443
Factor Arrows
1331,111
Factor Arrows
53587

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, 13, 53, 587

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 13 x 53 x 587 = 80,888,600

This can also be written as 23 x 52 x 131 x 531 x 5871 = 80,888,600

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


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