Q: What are the prime factors of the number 6,328,880?

 A: 2, 5, 79111

Why are those the prime factors of the number 6,328,880?

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 6,328,880

6,328,880
Factor Arrows
23,164,440
Factor Arrows
21,582,220
Factor Arrows
2791,110
Factor Arrows
2395,555
Factor Arrows
579,111

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, 79111

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 79,111 = 6,328,880

This can also be written as 24 x 51 x 79,1111 = 6,328,880

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


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