Q: What are the prime factors of the number 6,434,272?

 A: 2, 13, 15467

Why are those the prime factors of the number 6,434,272?

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 6,434,272

6,434,272
Factor Arrows
23,217,136
Factor Arrows
21,608,568
Factor Arrows
2804,284
Factor Arrows
2402,142
Factor Arrows
2201,071
Factor Arrows
1315,467

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, 13, 15467

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 15,467 = 6,434,272

This can also be written as 25 x 131 x 15,4671 = 6,434,272

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


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