Q: What are the prime factors of the number 80,237,100?

 A: 2, 3, 5, 71, 3767

Why are those the prime factors of the number 80,237,100?

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 80,237,100

80,237,100
Factor Arrows
240,118,550
Factor Arrows
220,059,275
Factor Arrows
36,686,425
Factor Arrows
51,337,285
Factor Arrows
5267,457
Factor Arrows
713,767

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, 5, 71, 3767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 71 x 3,767 = 80,237,100

This can also be written as 22 x 31 x 52 x 711 x 3,7671 = 80,237,100

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


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