Q: What are the prime factors of the number 6,160,448?

 A: 2, 7, 13751

Why are those the prime factors of the number 6,160,448?

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 6,160,448

6,160,448
Factor Arrows
23,080,224
Factor Arrows
21,540,112
Factor Arrows
2770,056
Factor Arrows
2385,028
Factor Arrows
2192,514
Factor Arrows
296,257
Factor Arrows
713,751

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, 7, 13751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 7 x 13,751 = 6,160,448

This can also be written as 26 x 71 x 13,7511 = 6,160,448

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


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