Q: What are the prime factors of the number 240,300,320?

 A: 2, 5, 13, 23, 5023

Why are those the prime factors of the number 240,300,320?

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 240,300,320

240,300,320
Factor Arrows
2120,150,160
Factor Arrows
260,075,080
Factor Arrows
230,037,540
Factor Arrows
215,018,770
Factor Arrows
27,509,385
Factor Arrows
51,501,877
Factor Arrows
13115,529
Factor Arrows
235,023

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, 23, 5023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 13 x 23 x 5,023 = 240,300,320

This can also be written as 25 x 51 x 131 x 231 x 5,0231 = 240,300,320

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


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