Q: What are the prime factors of the number 1,324,896?

 A: 2, 3, 37, 373

Why are those the prime factors of the number 1,324,896?

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 1,324,896

1,324,896
Factor Arrows
2662,448
Factor Arrows
2331,224
Factor Arrows
2165,612
Factor Arrows
282,806
Factor Arrows
241,403
Factor Arrows
313,801
Factor Arrows
37373

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, 3, 37, 373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 37 x 373 = 1,324,896

This can also be written as 25 x 31 x 371 x 3731 = 1,324,896

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


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