Q: What are the prime factors of the number 86,504,550?

 A: 2, 3, 5, 11, 103, 509

Why are those the prime factors of the number 86,504,550?

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 86,504,550

86,504,550
Factor Arrows
243,252,275
Factor Arrows
314,417,425
Factor Arrows
52,883,485
Factor Arrows
5576,697
Factor Arrows
1152,427
Factor Arrows
103509

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, 11, 103, 509

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 11 x 103 x 509 = 86,504,550

This can also be written as 21 x 31 x 52 x 111 x 1031 x 5091 = 86,504,550

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


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