Q: What are the prime factors of the number 68,450,176?

 A: 2, 607, 881

Why are those the prime factors of the number 68,450,176?

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 68,450,176

68,450,176
Factor Arrows
234,225,088
Factor Arrows
217,112,544
Factor Arrows
28,556,272
Factor Arrows
24,278,136
Factor Arrows
22,139,068
Factor Arrows
21,069,534
Factor Arrows
2534,767
Factor Arrows
607881

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, 607, 881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 607 x 881 = 68,450,176

This can also be written as 27 x 6071 x 8811 = 68,450,176

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


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