Q: What are the prime factors of the number 3,556,940?

 A: 2, 5, 31, 5737

Why are those the prime factors of the number 3,556,940?

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 3,556,940

3,556,940
Factor Arrows
21,778,470
Factor Arrows
2889,235
Factor Arrows
5177,847
Factor Arrows
315,737

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, 31, 5737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 31 x 5,737 = 3,556,940

This can also be written as 22 x 51 x 311 x 5,7371 = 3,556,940

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


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