Q: What are the prime factors of the number 2,124,032?

 A: 2, 8297

Why are those the prime factors of the number 2,124,032?

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 2,124,032

2,124,032
Factor Arrows
21,062,016
Factor Arrows
2531,008
Factor Arrows
2265,504
Factor Arrows
2132,752
Factor Arrows
266,376
Factor Arrows
233,188
Factor Arrows
216,594
Factor Arrows
28,297

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, 8297

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 2 x 2 x 8,297 = 2,124,032

This can also be written as 28 x 8,2971 = 2,124,032

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


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