Q: What are the prime factors of the number 81,325,120?

 A: 2, 5, 254141

Why are those the prime factors of the number 81,325,120?

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 81,325,120

81,325,120
Factor Arrows
240,662,560
Factor Arrows
220,331,280
Factor Arrows
210,165,640
Factor Arrows
25,082,820
Factor Arrows
22,541,410
Factor Arrows
21,270,705
Factor Arrows
5254,141

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, 254141

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 254,141 = 81,325,120

This can also be written as 26 x 51 x 254,1411 = 81,325,120

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


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