Q: What are the prime factors of the number 83,722,150?

 A: 2, 5, 107, 15649

Why are those the prime factors of the number 83,722,150?

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 83,722,150

83,722,150
Factor Arrows
241,861,075
Factor Arrows
58,372,215
Factor Arrows
51,674,443
Factor Arrows
10715,649

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, 5, 107, 15649

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 107 x 15,649 = 83,722,150

This can also be written as 21 x 52 x 1071 x 15,6491 = 83,722,150

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


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