Q: What are the prime factors of the number 874,020?

 A: 2, 3, 5, 7, 2081

Why are those the prime factors of the number 874,020?

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 874,020

874,020
Factor Arrows
2437,010
Factor Arrows
2218,505
Factor Arrows
372,835
Factor Arrows
514,567
Factor Arrows
72,081

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, 2081

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 2,081 = 874,020

This can also be written as 22 x 31 x 51 x 71 x 2,0811 = 874,020

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


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