Q: What are the prime factors of the number 68,106,465?

 A: 3, 5, 7, 216211

Why are those the prime factors of the number 68,106,465?

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 68,106,465

68,106,465
Factor Arrows
322,702,155
Factor Arrows
37,567,385
Factor Arrows
51,513,477
Factor Arrows
7216,211

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, 5, 7, 216211

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 216,211 = 68,106,465

This can also be written as 32 x 51 x 71 x 216,2111 = 68,106,465

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


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