Q: What are the prime factors of the number 1,051,456?

 A: 2, 7, 2347

Why are those the prime factors of the number 1,051,456?

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 1,051,456

1,051,456
Factor Arrows
2525,728
Factor Arrows
2262,864
Factor Arrows
2131,432
Factor Arrows
265,716
Factor Arrows
232,858
Factor Arrows
216,429
Factor Arrows
72,347

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, 7, 2347

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 7 x 2,347 = 1,051,456

This can also be written as 26 x 71 x 2,3471 = 1,051,456

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


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