Q: What are the prime factors of the number 1,243,264?

 A: 2, 11, 883

Why are those the prime factors of the number 1,243,264?

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 1,243,264

1,243,264
Factor Arrows
2621,632
Factor Arrows
2310,816
Factor Arrows
2155,408
Factor Arrows
277,704
Factor Arrows
238,852
Factor Arrows
219,426
Factor Arrows
29,713
Factor Arrows
11883

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, 11, 883

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 11 x 883 = 1,243,264

This can also be written as 27 x 111 x 8831 = 1,243,264

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


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