Q: What are the prime factors of the number 68,062,696?

 A: 2, 13, 17, 137, 281

Why are those the prime factors of the number 68,062,696?

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 68,062,696

68,062,696
Factor Arrows
234,031,348
Factor Arrows
217,015,674
Factor Arrows
28,507,837
Factor Arrows
13654,449
Factor Arrows
1738,497
Factor Arrows
137281

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, 13, 17, 137, 281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 17 x 137 x 281 = 68,062,696

This can also be written as 23 x 131 x 171 x 1371 x 2811 = 68,062,696

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


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