Q: What are the prime factors of the number 84,077,880?

 A: 2, 3, 5, 23, 41, 743

Why are those the prime factors of the number 84,077,880?

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 84,077,880

84,077,880
Factor Arrows
242,038,940
Factor Arrows
221,019,470
Factor Arrows
210,509,735
Factor Arrows
33,503,245
Factor Arrows
5700,649
Factor Arrows
2330,463
Factor Arrows
41743

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, 23, 41, 743

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 23 x 41 x 743 = 84,077,880

This can also be written as 23 x 31 x 51 x 231 x 411 x 7431 = 84,077,880

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


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