Q: What are the prime factors of the number 31,342,140?

 A: 2, 3, 5, 6449

Why are those the prime factors of the number 31,342,140?

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 31,342,140

31,342,140
Factor Arrows
215,671,070
Factor Arrows
27,835,535
Factor Arrows
32,611,845
Factor Arrows
3870,615
Factor Arrows
3290,205
Factor Arrows
396,735
Factor Arrows
332,245
Factor Arrows
56,449

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, 6449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 6,449 = 31,342,140

This can also be written as 22 x 35 x 51 x 6,4491 = 31,342,140

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


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