Q: What are the prime factors of the number 7,549,344?

 A: 2, 3, 11, 2383

Why are those the prime factors of the number 7,549,344?

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 7,549,344

7,549,344
Factor Arrows
23,774,672
Factor Arrows
21,887,336
Factor Arrows
2943,668
Factor Arrows
2471,834
Factor Arrows
2235,917
Factor Arrows
378,639
Factor Arrows
326,213
Factor Arrows
112,383

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, 11, 2383

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 2,383 = 7,549,344

This can also be written as 25 x 32 x 111 x 2,3831 = 7,549,344

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


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