On The Nature Of Multiplication And Division [on hold]

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I've heard that division is about how many groups of divisors can you take away from the dividend. For instance, 24/3 is about how many 3s you can take away from 24, which would be 8. But can someone explain to me, why, intuitively, is division about how many groups of divisors can you take away from the dividend. Can every problem about division be boiled down to this?



And also, if division is about this, then what is multiplication about? Since division is the inverse function of multiplication, what is multiplication about if division is about how many groups of divisors can you take away from the dividend? What would be the inverse of this?




functions arithmetic inverse-function




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put on hold as primarily opinion-based by m_t_, Henrik, max_zorn, Lord Shark the Unknown, Jose Arnaldo Bebita Dris Aug 3 at 9:57


Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.














  • Consider looking into the Euclidean algorithm for division for an answer to your first question.
    – Bill Wallis
    Aug 2 at 14:31














up vote
1
down vote

favorite
2












I've heard that division is about how many groups of divisors can you take away from the dividend. For instance, 24/3 is about how many 3s you can take away from 24, which would be 8. But can someone explain to me, why, intuitively, is division about how many groups of divisors can you take away from the dividend. Can every problem about division be boiled down to this?



And also, if division is about this, then what is multiplication about? Since division is the inverse function of multiplication, what is multiplication about if division is about how many groups of divisors can you take away from the dividend? What would be the inverse of this?




functions arithmetic inverse-function




share|cite|improve this question











put on hold as primarily opinion-based by m_t_, Henrik, max_zorn, Lord Shark the Unknown, Jose Arnaldo Bebita Dris Aug 3 at 9:57


Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.














  • Consider looking into the Euclidean algorithm for division for an answer to your first question.
    – Bill Wallis
    Aug 2 at 14:31












up vote
1
down vote

favorite
2









up vote
1
down vote

favorite
2






2





I've heard that division is about how many groups of divisors can you take away from the dividend. For instance, 24/3 is about how many 3s you can take away from 24, which would be 8. But can someone explain to me, why, intuitively, is division about how many groups of divisors can you take away from the dividend. Can every problem about division be boiled down to this?



And also, if division is about this, then what is multiplication about? Since division is the inverse function of multiplication, what is multiplication about if division is about how many groups of divisors can you take away from the dividend? What would be the inverse of this?




functions arithmetic inverse-function




share|cite|improve this question











I've heard that division is about how many groups of divisors can you take away from the dividend. For instance, 24/3 is about how many 3s you can take away from 24, which would be 8. But can someone explain to me, why, intuitively, is division about how many groups of divisors can you take away from the dividend. Can every problem about division be boiled down to this?



And also, if division is about this, then what is multiplication about? Since division is the inverse function of multiplication, what is multiplication about if division is about how many groups of divisors can you take away from the dividend? What would be the inverse of this?





functions arithmetic inverse-function





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Aug 2 at 14:07









Mathguy

735




735




put on hold as primarily opinion-based by m_t_, Henrik, max_zorn, Lord Shark the Unknown, Jose Arnaldo Bebita Dris Aug 3 at 9:57


Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.






put on hold as primarily opinion-based by m_t_, Henrik, max_zorn, Lord Shark the Unknown, Jose Arnaldo Bebita Dris Aug 3 at 9:57


Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.













  • Consider looking into the Euclidean algorithm for division for an answer to your first question.
    – Bill Wallis
    Aug 2 at 14:31
















  • Consider looking into the Euclidean algorithm for division for an answer to your first question.
    – Bill Wallis
    Aug 2 at 14:31















Consider looking into the Euclidean algorithm for division for an answer to your first question.
– Bill Wallis
Aug 2 at 14:31




Consider looking into the Euclidean algorithm for division for an answer to your first question.
– Bill Wallis
Aug 2 at 14:31















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