Q: What are the prime factors of the number 304,241,424?

 A: 2, 3, 23, 275581

Why are those the prime factors of the number 304,241,424?

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 304,241,424

304,241,424
Factor Arrows
2152,120,712
Factor Arrows
276,060,356
Factor Arrows
238,030,178
Factor Arrows
219,015,089
Factor Arrows
36,338,363
Factor Arrows
23275,581

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, 275581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 23 x 275,581 = 304,241,424

This can also be written as 24 x 31 x 231 x 275,5811 = 304,241,424

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


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