Q: What are the prime factors of the number 1,868,864?

 A: 2, 29201

Why are those the prime factors of the number 1,868,864?

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 1,868,864

1,868,864
Factor Arrows
2934,432
Factor Arrows
2467,216
Factor Arrows
2233,608
Factor Arrows
2116,804
Factor Arrows
258,402
Factor Arrows
229,201

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, 29201

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 29,201 = 1,868,864

This can also be written as 26 x 29,2011 = 1,868,864

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


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