Quick math test...

Poll - Total Votes: 12

divide by 2 (2 4 6 8 10 etc...)

divide by 3 (3 6 9 12 15 etc...)

divide by 5 (5 10 15 20 25 etc...)

divide by 7 (7 14 21 28 35 etc...)

they are all the same amount

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You can only vote on one answer.

Are there more natural numbers that you can divide be 2 without any remainders or by 3 or by 5 or by 7 ?

explain your answer.

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Repete · 61-69, M

I’ll still disagree, but that’s me anyway. Just because we can’t count to infinity doesn’t mean there is the same amount of numbers that can be divided by 2 as there is with 3,4, or 100. That is proven way before infinity . But that is just my opinion. @MoonMoon

NerdyPotato · M

@Repete that's only true for very large numbers, not infinity. And math doesn't have opinions. 😉

Repete · 61-69, M

Then I would say prove it . The only thing we can prove is no matter what number you use there will be more numbers if divided by 2 than any other number except 1 math might not have opinion but I do. Right or wrong it is my opinion until proven different . Math doesn’t change because of larger numbers @NerdyPotato

NerdyPotato · M

@Repete for a very large number of numbers, that's true. But the question was about [i]all[/i] natural numbers, not just many of them. That way it's quite easy to prove: a division creates a pair of the starting number and the result of it being divided by 2, 3, etc. You can find that pair the other way around too, by starting with a result and multiplying that. There is an infinite number of numbers you can multiply by 2 (all of them) and the exact same is true for multiplying by 3, 4, etc.

Repete · 61-69, M

@NerdyPotato I agree with you on that as far as you went. Even if you take a number like 1,000,000 as the number divided into infinity there will still be an infinite amount of times there is no question about. that the question was would there be more . I agree there will be infinity with each number but for a lack of another word each infinity will be smaller with bigger numbers . Infinity divided by infinity equals 1

NerdyPotato · M

@Repete no, dividing by infinity is impossible. And if you think one infinity is bigger than another, you're still thinking about them as very large numbers. Infinity isn't a number at all.

Repete · 61-69, M

I know that but that doesn’t matter at all infinity starts out ,if you are talking about numbers, by 1, 2, 3........... infinity and beyond the question is more you are right that it will be infinity but the numbers that are divided by 2 will always be ahead of the ones divided by 3 .all be infinity that is true .but more is the question. But anyway have a good day. d@NerdyPotato