Q: What are the prime factors of the number 988,050?

 A: 2, 3, 5, 7, 941

Why are those the prime factors of the number 988,050?

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 988,050

988,050
Factor Arrows
2494,025
Factor Arrows
3164,675
Factor Arrows
532,935
Factor Arrows
56,587
Factor Arrows
7941

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, 5, 7, 941

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 7 x 941 = 988,050

This can also be written as 21 x 31 x 52 x 71 x 9411 = 988,050

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


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