Q: What are the prime factors of the number 51,068,817?

 A: 3, 1259, 4507

Why are those the prime factors of the number 51,068,817?

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 51,068,817

51,068,817
Factor Arrows
317,022,939
Factor Arrows
35,674,313
Factor Arrows
1,2594,507

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:

3, 1259, 4507

We can check our work by multiplying all of the prime factors together: 3 x 3 x 1,259 x 4,507 = 51,068,817

This can also be written as 32 x 1,2591 x 4,5071 = 51,068,817

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


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