Q: What are the prime factors of the number 355,560,730?

 A: 2, 5, 7, 857, 5927

Why are those the prime factors of the number 355,560,730?

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 355,560,730

355,560,730
Factor Arrows
2177,780,365
Factor Arrows
535,556,073
Factor Arrows
75,079,439
Factor Arrows
8575,927

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, 7, 857, 5927

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 857 x 5,927 = 355,560,730

This can also be written as 21 x 51 x 71 x 8571 x 5,9271 = 355,560,730

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


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