Q: What are the prime factors of the number 2,182,144?

 A: 2, 2131

Why are those the prime factors of the number 2,182,144?

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 2,182,144

2,182,144
Factor Arrows
21,091,072
Factor Arrows
2545,536
Factor Arrows
2272,768
Factor Arrows
2136,384
Factor Arrows
268,192
Factor Arrows
234,096
Factor Arrows
217,048
Factor Arrows
28,524
Factor Arrows
24,262
Factor Arrows
22,131

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, 2131

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 2 x 2,131 = 2,182,144

This can also be written as 210 x 2,1311 = 2,182,144

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


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