Q: What are the prime factors of the number 84,084,496?

 A: 2, 5255281

Why are those the prime factors of the number 84,084,496?

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 84,084,496

84,084,496
Factor Arrows
242,042,248
Factor Arrows
221,021,124
Factor Arrows
210,510,562
Factor Arrows
25,255,281

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, 5255281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5,255,281 = 84,084,496

This can also be written as 24 x 5,255,2811 = 84,084,496

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


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