Q: What are the prime factors of the number 383,542,224?

 A: 2, 3, 13, 109, 5639

Why are those the prime factors of the number 383,542,224?

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 383,542,224

383,542,224
Factor Arrows
2191,771,112
Factor Arrows
295,885,556
Factor Arrows
247,942,778
Factor Arrows
223,971,389
Factor Arrows
37,990,463
Factor Arrows
13614,651
Factor Arrows
1095,639

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, 13, 109, 5639

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13 x 109 x 5,639 = 383,542,224

This can also be written as 24 x 31 x 131 x 1091 x 5,6391 = 383,542,224

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


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