Factors
Sara was skip counting with a friend during recess. Sara started to count by 12's. She said 12, 24, 36. What two numbers will she say next?
She will say 48 and 60.
Use the divisibility rule for 2. Is 86 divisible by 2? Explain your answer.
Yes, because 86 is an even number.
What are the prime numbers between 10 and 20?
11, 13, 17, 19
Look carefully at the number pattern. 14, 17, 16, 19, 18, What rule does this pattern follow?
Rule: Add 3, Subtract 1
Which number is a multiple of 12 and 36? A) 12 B) 24 C) 36
36 is a multiple of 12 and 36.
Use the divisibility rule for 5. Name three numbers that are divisible by 5.
5, 10, 15, 20, 25 ... Any number with 0 or 5 in the ones place.
Can a composite number be an odd number? Explain your answer.
Yes, some examples are 9, 15, and 25.
Look carefully at this pattern. 70,67,71,68,72,69...
Rule: Subtract 3, Add 4
There are 12 boys and 18 girls in Mrs. Meeks' science class. Each lab group must have the same number of boys and the same number of girls. What is the greatest number of groups Mrs. Meeks can make if every student must be in a group?
Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 18: 1, 2, 3, 6, 9, 18 The Greatest Common Factor of 12 and 18 is 6. The greatest number of groups Mrs. Meeks can make is 6.
What is the least common multiple of 4 and 6?
The least common multiple is 12.
Use the divisibility rule for 3. Is 96 divisible by 3? Explain your answer.
Yes. First add the digits. 9 + 6 = 15 Then divide by 3.
Is 2 a prime number or a composite number? Explain your answer.
2 is a prime number. Prime numbers only have one pair, 1 and itself as factors.
Look carefully at the number pattern. 27, 35, 33, 41, 39, 47 ... What rule does this pattern follow?
Rule: Add 8, Subtract 2
Kevin has 18 oranges, 27 pears, and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. How many of each type of fruit will be in the baskets?
18: 1, 2, 3, 6, 9, 18 27: 1, 3, 9, 27 12: 1, 2, 3, 4, 6, 12 There will be 3 of each fruit in a basket.
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?
The Least Common Multiple for the two numbers is 60. You would have to buy 5 cartons of eggs and 6 packages of muffins. (Look at the factors - 12 x 5 is 60 and 10 x 6 is 60).
Greidy has three apple trees in her back yard. The first tree has 66 apples on it, the second has 42 apples, and the third has 12 apples. When she picks the apples she puts them in boxes of 24. How many boxes will she need?
She will need 5 boxes.
Ja'Sani thinks that 57 and 67 are both prime because they both have a 7 in the ones place. Is she correct? Explain your answer.
57 is not a prime number. 1, 3, 19, 57
Look carefully at the pattern. 80, 72, 64, 56, 48, 40... What are the next three numbers in this pattern?
32, 24, 16
E'leana is making treat bags for her friends. She bought 20 stickers. List all the different ways E'leana can make treat bags if each treat bag has the same amount of stickers inside?
There are 6 different ways. 1 x 20, 2 x 10, 4 x 5, 5 x 4, 10 x 2, 20 x 1
Jeffrey has a soccer game every 4th day, Axel has one every 5th day. When will they have a game on the same day?
The Least Common Multiple is 20, so they will both have a game on the 20th day.
Kyle is going to the store to buy hamburgers and buns for his food truck. He buys 124 hamburgers. Hamburger buns come in packages of 8. How many packages of buns will he need to buy to make sure he has enough for all of his hamburgers?
The answer when you divide is 15 R 4. However, he needs 16 packages of hamburger buns.
List 2 prime numbers between 50 and 80.
Possible answers are 51, 53, 59, 61, 67, 71, 73, and 79.
Make up your own pattern for us to solve.
Students share their patterns and solutions.