Q: What are the prime factors of the number 101,324,433?

 A: 3, 7, 47, 251, 409

Why are those the prime factors of the number 101,324,433?

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 101,324,433

101,324,433
Factor Arrows
333,774,811
Factor Arrows
74,824,973
Factor Arrows
47102,659
Factor Arrows
251409

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:

3, 7, 47, 251, 409

We can check our work by multiplying all of the prime factors together: 3 x 7 x 47 x 251 x 409 = 101,324,433

This can also be written as 31 x 71 x 471 x 2511 x 4091 = 101,324,433

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


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