Q: What are the prime factors of the number 1,303,024?

 A: 2, 81439

Why are those the prime factors of the number 1,303,024?

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 1,303,024

1,303,024
Factor Arrows
2651,512
Factor Arrows
2325,756
Factor Arrows
2162,878
Factor Arrows
281,439

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, 81439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 81,439 = 1,303,024

This can also be written as 24 x 81,4391 = 1,303,024

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


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