Q: What are the prime factors of the number 1,183,488?

 A: 2, 3, 23, 67

Why are those the prime factors of the number 1,183,488?

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 1,183,488

1,183,488
Factor Arrows
2591,744
Factor Arrows
2295,872
Factor Arrows
2147,936
Factor Arrows
273,968
Factor Arrows
236,984
Factor Arrows
218,492
Factor Arrows
29,246
Factor Arrows
24,623
Factor Arrows
31,541
Factor Arrows
2367

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, 67

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 2 x 2 x 3 x 23 x 67 = 1,183,488

This can also be written as 28 x 31 x 231 x 671 = 1,183,488

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


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