Q: What are the prime factors of the number 994,992?

 A: 2, 3, 19, 1091

Why are those the prime factors of the number 994,992?

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 994,992

994,992
Factor Arrows
2497,496
Factor Arrows
2248,748
Factor Arrows
2124,374
Factor Arrows
262,187
Factor Arrows
320,729
Factor Arrows
191,091

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, 1091

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 19 x 1,091 = 994,992

This can also be written as 24 x 31 x 191 x 1,0911 = 994,992

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


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