Q: What are the prime factors of the number 302,021,424?

 A: 2, 3, 79, 139, 191

Why are those the prime factors of the number 302,021,424?

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 302,021,424

302,021,424
Factor Arrows
2151,010,712
Factor Arrows
275,505,356
Factor Arrows
237,752,678
Factor Arrows
218,876,339
Factor Arrows
36,292,113
Factor Arrows
32,097,371
Factor Arrows
7926,549
Factor Arrows
139191

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, 79, 139, 191

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 79 x 139 x 191 = 302,021,424

This can also be written as 24 x 32 x 791 x 1391 x 1911 = 302,021,424

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


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