Q: What are the prime factors of the number 994,544?

 A: 2, 61, 1019

Why are those the prime factors of the number 994,544?

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 994,544

994,544
Factor Arrows
2497,272
Factor Arrows
2248,636
Factor Arrows
2124,318
Factor Arrows
262,159
Factor Arrows
611,019

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, 61, 1019

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 61 x 1,019 = 994,544

This can also be written as 24 x 611 x 1,0191 = 994,544

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


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