Q: What are the prime factors of the number 1,130,384?

 A: 2, 31, 43, 53

Why are those the prime factors of the number 1,130,384?

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 1,130,384

1,130,384
Factor Arrows
2565,192
Factor Arrows
2282,596
Factor Arrows
2141,298
Factor Arrows
270,649
Factor Arrows
312,279
Factor Arrows
4353

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, 31, 43, 53

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 31 x 43 x 53 = 1,130,384

This can also be written as 24 x 311 x 431 x 531 = 1,130,384

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


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