Q: What are the prime factors of the number 2,186,688?

 A: 2, 3, 7, 1627

Why are those the prime factors of the number 2,186,688?

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 2,186,688

2,186,688
Factor Arrows
21,093,344
Factor Arrows
2546,672
Factor Arrows
2273,336
Factor Arrows
2136,668
Factor Arrows
268,334
Factor Arrows
234,167
Factor Arrows
311,389
Factor Arrows
71,627

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, 1627

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1,627 = 2,186,688

This can also be written as 26 x 31 x 71 x 1,6271 = 2,186,688

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


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