Q: What are the prime factors of the number 994,878?

 A: 2, 3, 19, 2909

Why are those the prime factors of the number 994,878?

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 994,878

994,878
Factor Arrows
2497,439
Factor Arrows
3165,813
Factor Arrows
355,271
Factor Arrows
192,909

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, 19, 2909

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 19 x 2,909 = 994,878

This can also be written as 21 x 32 x 191 x 2,9091 = 994,878

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


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