Is Zero a Multiple of Every Number?Date: 07/06/2002 at 12:35:48 From: Prabha Sethy Subject: Factors and multiples Is zero a multiple of every number? I teach math to children and I find that some books state that zero is a multiple of every number, whereas some books state that zero is not a multiple of every number. I want to know the correct answer so that I can teach the children the correct fact. Date: 07/06/2002 at 12:58:58 From: Doctor Paul Subject: Re: Factors and multiples Let x and y be integers. Then x is a multiple of y if there exists another integer z such that x = y*z. That is the definition. Now let x = zero and let y be an arbitrary integer. Can we find an integer z such that 0 = y*z? I think you'll see that choosing z = zero will do the trick every time. So zero is a multiple of every integer. I hope this helps. Please write back if you'd like to talk about this some more. - Doctor Paul, The Math Forum http://mathforum.org/dr.math/ Date: 07/06/2002 at 13:35:46 From: Prabha Sethy Subject: Thank you (Factors and multiples) Thanks so much for a quick response. This has helped clear my doubt. |
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