Q: What are the prime factors of the number 80,093,244?

 A: 2, 3, 7, 11, 29, 61

Why are those the prime factors of the number 80,093,244?

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 80,093,244

80,093,244
Factor Arrows
240,046,622
Factor Arrows
220,023,311
Factor Arrows
36,674,437
Factor Arrows
7953,491
Factor Arrows
7136,213
Factor Arrows
719,459
Factor Arrows
111,769
Factor Arrows
2961

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, 7, 11, 29, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 7 x 7 x 7 x 11 x 29 x 61 = 80,093,244

This can also be written as 22 x 31 x 73 x 111 x 291 x 611 = 80,093,244

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


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