Q: What are the prime factors of the number 994,880?

 A: 2, 5, 3109

Why are those the prime factors of the number 994,880?

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 994,880

994,880
Factor Arrows
2497,440
Factor Arrows
2248,720
Factor Arrows
2124,360
Factor Arrows
262,180
Factor Arrows
231,090
Factor Arrows
215,545
Factor Arrows
53,109

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, 5, 3109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3,109 = 994,880

This can also be written as 26 x 51 x 3,1091 = 994,880

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


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