Q: What are the prime factors of the number 1,124,232?

 A: 2, 3, 139, 337

Why are those the prime factors of the number 1,124,232?

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 1,124,232

1,124,232
Factor Arrows
2562,116
Factor Arrows
2281,058
Factor Arrows
2140,529
Factor Arrows
346,843
Factor Arrows
139337

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, 139, 337

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 139 x 337 = 1,124,232

This can also be written as 23 x 31 x 1391 x 3371 = 1,124,232

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


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