Q: What are the prime factors of the number 84,015,064?

 A: 2, 7, 1500269

Why are those the prime factors of the number 84,015,064?

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 84,015,064

84,015,064
Factor Arrows
242,007,532
Factor Arrows
221,003,766
Factor Arrows
210,501,883
Factor Arrows
71,500,269

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, 7, 1500269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 1,500,269 = 84,015,064

This can also be written as 23 x 71 x 1,500,2691 = 84,015,064

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


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