Question 856669: How many different ways can 700 be expressed as the product of two positive integers?
I think I started it correctly but I'm not sure if I have all of them; is there an easy way to answer this question?
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! Start by factoring 700 into its prime factors
700 is even so you know 2 will be one of the prime factors
2*2*5*5*7
also remember that 1 is always a factor
now we can write all the two positive integers using the prime factors
to construct them
(2, 350)(4, 175)(20,35)(100,7)(1,700)(25,28)(70,10)(5,140)
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