Q: What are the prime factors of the number 82,444,820?

 A: 2, 5, 821, 5021

Why are those the prime factors of the number 82,444,820?

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 82,444,820

82,444,820
Factor Arrows
241,222,410
Factor Arrows
220,611,205
Factor Arrows
54,122,241
Factor Arrows
8215,021

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, 5, 821, 5021

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 821 x 5,021 = 82,444,820

This can also be written as 22 x 51 x 8211 x 5,0211 = 82,444,820

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


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