# How can you use prime factorization to determine if 856 is evenly divisible by 7?

You can reduce the size of the problem if you can separate out other prime factors.

I'm not sure this factorisation has helped us much, but let us at least split it down to make the arithmetic a little easier:

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To determine if 856 is evenly divisible by 7, we can use the divisibility rule for 7, which involves repeatedly subtracting multiples of 7 until a number that is easily divisible by 7 is obtained. Alternatively, we can use prime factorization. If the prime factorization of a number includes the prime factor of 7, then the number is divisible by 7.

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