Q: What are the prime factors of the number 73,800,844?

 A: 2, 13, 1419247

Why are those the prime factors of the number 73,800,844?

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 73,800,844

73,800,844
Factor Arrows
236,900,422
Factor Arrows
218,450,211
Factor Arrows
131,419,247

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, 1419247

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 1,419,247 = 73,800,844

This can also be written as 22 x 131 x 1,419,2471 = 73,800,844

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


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