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You can test successive prime numbers to see if your number is divisible by them, but knowing the divisibility rules will help you eliminate some steps, depending on what your number is.

If your number is odd, you don't have to test for 2.

If the sum of your number's digits do not total a multiple of 3, you don't have to test for 3.

If your number doesn't end in a 5 or 0, you don't have to test for 5.

Just by looking at your number, you can include or eliminate the three most common primes if you know the rules of divisibility.

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Q: How can the divisibility rules help find prime factorization?
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