Q: What are the prime factors of the number 1,864,288?

 A: 2, 17, 23, 149

Why are those the prime factors of the number 1,864,288?

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 1,864,288

1,864,288
Factor Arrows
2932,144
Factor Arrows
2466,072
Factor Arrows
2233,036
Factor Arrows
2116,518
Factor Arrows
258,259
Factor Arrows
173,427
Factor Arrows
23149

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, 17, 23, 149

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 23 x 149 = 1,864,288

This can also be written as 25 x 171 x 231 x 1491 = 1,864,288

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


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