Q: What are the prime factors of the number 85,196,560?

 A: 2, 5, 1064957

Why are those the prime factors of the number 85,196,560?

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 85,196,560

85,196,560
Factor Arrows
242,598,280
Factor Arrows
221,299,140
Factor Arrows
210,649,570
Factor Arrows
25,324,785
Factor Arrows
51,064,957

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, 1064957

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 1,064,957 = 85,196,560

This can also be written as 24 x 51 x 1,064,9571 = 85,196,560

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


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