Q: What are the prime factors of the number 2,156,864?

 A: 2, 67, 503

Why are those the prime factors of the number 2,156,864?

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 2,156,864

2,156,864
Factor Arrows
21,078,432
Factor Arrows
2539,216
Factor Arrows
2269,608
Factor Arrows
2134,804
Factor Arrows
267,402
Factor Arrows
233,701
Factor Arrows
67503

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, 67, 503

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 67 x 503 = 2,156,864

This can also be written as 26 x 671 x 5031 = 2,156,864

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


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