Arithmetic: What is a Divisor (or a Factor)?

A divisor is like a friend who can help you split your toys evenly among your friends.

Imagine you have 12 toy cars and 4 friends. If you want to give each friend the same number of toy cars, you could divide them so everyone gets 3 cars, that works perfectly! In this case, 4 is a divisor of 12, because 12 ÷ 4 = 3, and there's no leftover.

A divisor is any number that can divide another number without leaving a remainder. So if you have 8 cookies and want to share them with 2 friends, each friend gets 4 cookies, so 2 is a divisor of 8.

You might think about it like this: when you're dividing your candies or stickers, the number of people you’re sharing with is often the divisor. If everyone gets exactly the same amount, that means the divisor works perfectly for that total.

If there's leftover candy, say 13 cookies and 4 friends, then 4 isn’t a perfect divisor, because 13 ÷ 4 = 3 with 1 left over. But if you have 12 cookies, 4 is a great friend, a divisor!