Q: What are the prime factors of the number 62,474,302?

 A: 2, 11, 23, 311, 397

Why are those the prime factors of the number 62,474,302?

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 62,474,302

62,474,302
Factor Arrows
231,237,151
Factor Arrows
112,839,741
Factor Arrows
23123,467
Factor Arrows
311397

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, 11, 23, 311, 397

We can check our work by multiplying all of the prime factors together: 2 x 11 x 23 x 311 x 397 = 62,474,302

This can also be written as 21 x 111 x 231 x 3111 x 3971 = 62,474,302

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


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