Q: What are the prime factors of the number 610,556,325?

 A: 3, 5, 419, 19429

Why are those the prime factors of the number 610,556,325?

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 610,556,325

610,556,325
Factor Arrows
3203,518,775
Factor Arrows
540,703,755
Factor Arrows
58,140,751
Factor Arrows
41919,429

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:

3, 5, 419, 19429

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 419 x 19,429 = 610,556,325

This can also be written as 31 x 52 x 4191 x 19,4291 = 610,556,325

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


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