Q: What are the prime factors of the number 990,738?

 A: 2, 3, 7, 2621

Why are those the prime factors of the number 990,738?

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 990,738

990,738
Factor Arrows
2495,369
Factor Arrows
3165,123
Factor Arrows
355,041
Factor Arrows
318,347
Factor Arrows
72,621

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, 7, 2621

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 7 x 2,621 = 990,738

This can also be written as 21 x 33 x 71 x 2,6211 = 990,738

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


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