Q: What are the prime factors of the number 240,255,325?

 A: 5, 727, 13219

Why are those the prime factors of the number 240,255,325?

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 240,255,325

240,255,325
Factor Arrows
548,051,065
Factor Arrows
59,610,213
Factor Arrows
72713,219

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:

5, 727, 13219

We can check our work by multiplying all of the prime factors together: 5 x 5 x 727 x 13,219 = 240,255,325

This can also be written as 52 x 7271 x 13,2191 = 240,255,325

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


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