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Thread: divided into

  1. #1
    khanhhung2512 is offline Junior Member
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    Talking divided into

    In Barron's SAT 2400, math section, I saw the following line: "The factors of a positive integer n are the positive integers that can be divided into n without a remainder. For example, the factors of 18 are 1, 2, 3, 6, 9, 18."
    But as I know, "be divided into" means "n divides the factors" (but in this sentence, it must mean "the factors divide n", i.e. 6 divides 18)
    Can anyone help me?
    Thanks very much!
    More information, Barron's SAT 2400: Aiming for the ... - Google Sách

  2. #2
    BobK's Avatar
    BobK is offline Harmless drudge
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    Default Re: divided into

    6 can be divided by 2 and 3.
    2 and 3 are factors of 6.
    2 and 3 divide into 6.

    Unfortunately, some mathematicians would use '6 divides into 2 and 3'. Their usage can cause confusion such as yours.

    b
    b

  3. #3
    xuannhui is offline Newbie
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    Default Re: divided into

    you can see this meaning of "divide into" and find that sentence is correct:

    divide (sth) into sth
    If a number divides into another number, it fits (exactly) into it when multiplied a particular number of times.
    ex:
    What do you get if you divide 6 into 18?
    2 divides into 10 five times.

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