Q: What are the prime factors of the number 6,259,914?

 A: 2, 3, 347773

Why are those the prime factors of the number 6,259,914?

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 6,259,914

6,259,914
Factor Arrows
23,129,957
Factor Arrows
31,043,319
Factor Arrows
3347,773

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, 347773

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 347,773 = 6,259,914

This can also be written as 21 x 32 x 347,7731 = 6,259,914

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


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