Q: What are the prime factors of the number 343,920?

 A: 2, 3, 5, 1433

Why are those the prime factors of the number 343,920?

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 343,920

343,920
Factor Arrows
2171,960
Factor Arrows
285,980
Factor Arrows
242,990
Factor Arrows
221,495
Factor Arrows
37,165
Factor Arrows
51,433

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, 1433

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 1,433 = 343,920

This can also be written as 24 x 31 x 51 x 1,4331 = 343,920

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


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