Q: What are the prime factors of the number 68,145,376?

 A: 2, 13, 163811

Why are those the prime factors of the number 68,145,376?

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 68,145,376

68,145,376
Factor Arrows
234,072,688
Factor Arrows
217,036,344
Factor Arrows
28,518,172
Factor Arrows
24,259,086
Factor Arrows
22,129,543
Factor Arrows
13163,811

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, 163811

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 13 x 163,811 = 68,145,376

This can also be written as 25 x 131 x 163,8111 = 68,145,376

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


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