Q: What are the prime factors of the number 355,780?

 A: 2, 5, 17789

Why are those the prime factors of the number 355,780?

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 355,780

355,780
Factor Arrows
2177,890
Factor Arrows
288,945
Factor Arrows
517,789

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, 17789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 17,789 = 355,780

This can also be written as 22 x 51 x 17,7891 = 355,780

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


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