divided into

[khanhhung2512]

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

[BobK]

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.

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[xuannhui]

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.