Q: What are the prime factors of the number 994,990?

 A: 2, 5, 29, 47, 73

Why are those the prime factors of the number 994,990?

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 994,990

994,990
Factor Arrows
2497,495
Factor Arrows
599,499
Factor Arrows
293,431
Factor Arrows
4773

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, 29, 47, 73

We can check our work by multiplying all of the prime factors together: 2 x 5 x 29 x 47 x 73 = 994,990

This can also be written as 21 x 51 x 291 x 471 x 731 = 994,990

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


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