Q: What are the prime factors of the number 346,770?

 A: 2, 3, 5, 3853

Why are those the prime factors of the number 346,770?

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 346,770

346,770
Factor Arrows
2173,385
Factor Arrows
357,795
Factor Arrows
319,265
Factor Arrows
53,853

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, 3, 5, 3853

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 3,853 = 346,770

This can also be written as 21 x 32 x 51 x 3,8531 = 346,770

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 346,770:


Ask a Question