Q: What are the prime factors of the number 30,623,215?

 A: 5, 7, 131, 6679

Why are those the prime factors of the number 30,623,215?

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 30,623,215

30,623,215
Factor Arrows
56,124,643
Factor Arrows
7874,949
Factor Arrows
1316,679

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:

5, 7, 131, 6679

We can check our work by multiplying all of the prime factors together: 5 x 7 x 131 x 6,679 = 30,623,215

This can also be written as 51 x 71 x 1311 x 6,6791 = 30,623,215

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


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