Q: What are the prime factors of the number 7,378,112?

 A: 2, 7, 43, 383

Why are those the prime factors of the number 7,378,112?

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 7,378,112

7,378,112
Factor Arrows
23,689,056
Factor Arrows
21,844,528
Factor Arrows
2922,264
Factor Arrows
2461,132
Factor Arrows
2230,566
Factor Arrows
2115,283
Factor Arrows
716,469
Factor Arrows
43383

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, 43, 383

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 43 x 383 = 7,378,112

This can also be written as 26 x 71 x 431 x 3831 = 7,378,112

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


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