Q: What are the prime factors of the number 2,136,384?

 A: 2, 3, 3709

Why are those the prime factors of the number 2,136,384?

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 2,136,384

2,136,384
Factor Arrows
21,068,192
Factor Arrows
2534,096
Factor Arrows
2267,048
Factor Arrows
2133,524
Factor Arrows
266,762
Factor Arrows
233,381
Factor Arrows
311,127
Factor Arrows
33,709

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, 3709

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 3 x 3,709 = 2,136,384

This can also be written as 26 x 32 x 3,7091 = 2,136,384

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


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