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For a number to be divisible by 6, it has to be divisible by 2 and 3, because 2*3=6.In other words, we could divide the number we're factorising (78) by the prime factors of the number we're testing (6, which is 2*3).
We start by dividing by 2, because we know 78 is even: 78/2=39.
Then, we divide the new number by the other prime factor - 3.
39/3=13
13 is a whole number with no remainders, therefore we can say that 78 is divisible by 6, and therefore 6 is a factor of 78. (6*13=78)
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