Q: What are the prime factors of the number 3,237,376?

 A: 2, 6323

Why are those the prime factors of the number 3,237,376?

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 3,237,376

3,237,376
Factor Arrows
21,618,688
Factor Arrows
2809,344
Factor Arrows
2404,672
Factor Arrows
2202,336
Factor Arrows
2101,168
Factor Arrows
250,584
Factor Arrows
225,292
Factor Arrows
212,646
Factor Arrows
26,323

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, 6323

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 2 x 6,323 = 3,237,376

This can also be written as 29 x 6,3231 = 3,237,376

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


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