Q: What are the prime factors of the number 73,332,105?

 A: 3, 5, 7, 11, 173, 367

Why are those the prime factors of the number 73,332,105?

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 73,332,105

73,332,105
Factor Arrows
324,444,035
Factor Arrows
54,888,807
Factor Arrows
7698,401
Factor Arrows
1163,491
Factor Arrows
173367

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, 5, 7, 11, 173, 367

We can check our work by multiplying all of the prime factors together: 3 x 5 x 7 x 11 x 173 x 367 = 73,332,105

This can also be written as 31 x 51 x 71 x 111 x 1731 x 3671 = 73,332,105

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


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