Q: What are the prime factors of the number 450,320?

 A: 2, 5, 13, 433

Why are those the prime factors of the number 450,320?

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 450,320

450,320
Factor Arrows
2225,160
Factor Arrows
2112,580
Factor Arrows
256,290
Factor Arrows
228,145
Factor Arrows
55,629
Factor Arrows
13433

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, 5, 13, 433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 13 x 433 = 450,320

This can also be written as 24 x 51 x 131 x 4331 = 450,320

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


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