Factors and Multiples
Factors are the number that are multiplied to get a numer (or product). Multiples are the numbers we get when we multiply or count by a certain number. It is very easy for the students to get confused about which one is which. I hope the video for this skill helps. Students will not only need to know factors and multiples, but they will also need to know how to find the Greatest Common Factor (GCF) and Least Common Multiple (LCM) for a given set of numbers. There are practice problems, word problems, and an answer key below.
Practice Problems


Sample Word Problems:
1. Eggs come in packages of 12 and English muffins come in packages of 10. What is the least number of packages of each that can be bought to be able to make egg sandwiches with no muffins or eggs left over?
2. If Mary inspects every sixth calculator and Nancy inspects every fifth calculator, which calculator will be the first that they both inspect?
3. Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell (with no leftover balls or paddles and one ball per paddle)?
4. Carl has a soccer game every 4th day, Matt has one every 5th day. When will they have a game on the same day?
5. If every time Tomas eats a cookie it gives him 5 points and very time Miguel eats a cookie it gives him 15 points. When are they gonna have the same amount of points?
1. Eggs come in packages of 12 and English muffins come in packages of 10. What is the least number of packages of each that can be bought to be able to make egg sandwiches with no muffins or eggs left over?
2. If Mary inspects every sixth calculator and Nancy inspects every fifth calculator, which calculator will be the first that they both inspect?
3. Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and paddles bundled together. What is the greatest number of packages she can sell (with no leftover balls or paddles and one ball per paddle)?
4. Carl has a soccer game every 4th day, Matt has one every 5th day. When will they have a game on the same day?
5. If every time Tomas eats a cookie it gives him 5 points and very time Miguel eats a cookie it gives him 15 points. When are they gonna have the same amount of points?
Check Your Work!
answerkeyfactorsandmultiples.doc 