Q: What are the prime factors of the number 62,738,148?

 A: 2, 3, 11, 475289

Why are those the prime factors of the number 62,738,148?

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 62,738,148

62,738,148
Factor Arrows
231,369,074
Factor Arrows
215,684,537
Factor Arrows
35,228,179
Factor Arrows
11475,289

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, 3, 11, 475289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 475,289 = 62,738,148

This can also be written as 22 x 31 x 111 x 475,2891 = 62,738,148

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


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