Q: What are the prime factors of the number 62,822,709?

 A: 3, 31, 127, 197

Why are those the prime factors of the number 62,822,709?

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 62,822,709

62,822,709
Factor Arrows
320,940,903
Factor Arrows
36,980,301
Factor Arrows
32,326,767
Factor Arrows
3775,589
Factor Arrows
3125,019
Factor Arrows
127197

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:

3, 31, 127, 197

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 31 x 127 x 197 = 62,822,709

This can also be written as 34 x 311 x 1271 x 1971 = 62,822,709

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


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