Q: What are the prime factors of the number 84,440,440?

 A: 2, 5, 7, 97, 3109

Why are those the prime factors of the number 84,440,440?

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 84,440,440

84,440,440
Factor Arrows
242,220,220
Factor Arrows
221,110,110
Factor Arrows
210,555,055
Factor Arrows
52,111,011
Factor Arrows
7301,573
Factor Arrows
973,109

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, 7, 97, 3109

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 7 x 97 x 3,109 = 84,440,440

This can also be written as 23 x 51 x 71 x 971 x 3,1091 = 84,440,440

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


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