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In a maths sense, a factor usually means "a number that divides evenly into another number, resulting in an integer". I.e when a number is divided by a factor of itself, there are no "remainders" or any decimal places that are non-zero.

For example, 2 is a factor of 12, since 12 can be divided by 2, 6 times. (Other factors include 3, 4, and 6)

And 5 is a factor of 45, since 45 can be divided by 5, 9 times.

But 2 is not a factor of 45, since dividing 45 by two would result in a "remainder" of 1 or a decimal place of .5.

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Q: What does factor mean in number sense?
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