Q: What are the prime factors of the number 84,161,340?

 A: 2, 3, 5, 499, 937

Why are those the prime factors of the number 84,161,340?

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 84,161,340

84,161,340
Factor Arrows
242,080,670
Factor Arrows
221,040,335
Factor Arrows
37,013,445
Factor Arrows
32,337,815
Factor Arrows
5467,563
Factor Arrows
499937

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, 499, 937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 499 x 937 = 84,161,340

This can also be written as 22 x 32 x 51 x 4991 x 9371 = 84,161,340

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


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