Q: What are the prime factors of the number 84,050,016?

 A: 2, 3, 875521

Why are those the prime factors of the number 84,050,016?

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 84,050,016

84,050,016
Factor Arrows
242,025,008
Factor Arrows
221,012,504
Factor Arrows
210,506,252
Factor Arrows
25,253,126
Factor Arrows
22,626,563
Factor Arrows
3875,521

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, 875521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 875,521 = 84,050,016

This can also be written as 25 x 31 x 875,5211 = 84,050,016

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


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