Q: What are the prime factors of the number 1,035,456?

 A: 2, 3, 5393

Why are those the prime factors of the number 1,035,456?

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 1,035,456

1,035,456
Factor Arrows
2517,728
Factor Arrows
2258,864
Factor Arrows
2129,432
Factor Arrows
264,716
Factor Arrows
232,358
Factor Arrows
216,179
Factor Arrows
35,393

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, 5393

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 3 x 5,393 = 1,035,456

This can also be written as 26 x 31 x 5,3931 = 1,035,456

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


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