Q: What are the prime factors of the number 324,480,848?

 A: 2, 367, 55259

Why are those the prime factors of the number 324,480,848?

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 324,480,848

324,480,848
Factor Arrows
2162,240,424
Factor Arrows
281,120,212
Factor Arrows
240,560,106
Factor Arrows
220,280,053
Factor Arrows
36755,259

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, 367, 55259

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 367 x 55,259 = 324,480,848

This can also be written as 24 x 3671 x 55,2591 = 324,480,848

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


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