Q: What are the prime factors of the number 1,055,424?

 A: 2, 3, 23, 239

Why are those the prime factors of the number 1,055,424?

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 1,055,424

1,055,424
Factor Arrows
2527,712
Factor Arrows
2263,856
Factor Arrows
2131,928
Factor Arrows
265,964
Factor Arrows
232,982
Factor Arrows
216,491
Factor Arrows
35,497
Factor Arrows
23239

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, 23, 239

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 23 x 239 = 1,055,424

This can also be written as 26 x 31 x 231 x 2391 = 1,055,424

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


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