Number Properties
Is the number 33 prime, composite, or neither?
Composite. (The factors are 1, 3, 11, and 33.)
What are the first five terms of the pattern? Starting with 5, add 2.
5, 7, 9, 11, 13.
Robert wants to make 36 pancakes. Each cup of batter makes 4 pancakes. How many cups of batter will he use? Use a factor pair to explain.
9 cups of batter. (The factor pair of 36 is 9 and 4. 9×4=36.)
What number is the smallest prime number and the only even prime number.
2
What are all the factor pairs of 54?
1 and 54, 2 and 27, 3 and 18, 6 and 9.
What are the missing numbers in the pattern: 2, ___, ___, 32?
4 and 8. (The rule is "Multiply by 2" or "Double the number".)
Anthony is arranging 36 games. How can he arrange his games on 1, 2, 3, and 4 shelves?
1 shelf with 36 games. 2 shelves with 18 games. 3 shelves with 12 games. 4 shelves with 9 games.
Which of these numbers are prime? Choose all that apply: 2, 13, 21, 32, 45, 53.
2, 13, and 53. (A prime number has only two factors: 1 and itself.)
What is the rule for the pattern: 25, 36, 47, 58?
Add 11.
Joe bikes 6 miles to the beach and back each day. How many miles does he bike in 5 days?
60 miles. (Total miles per day is 6×2=12 miles. Total miles in 5 days is 12×5=60.)
What are all the factor pairs of 40?
1 and 40, 2 and 20, 4 and 10, 5 and 8.
Alyssa plans on using 4 pages each day. Complete the table for Day 1, Day 2, and Day 3.
Day 1: 4 pages, Day 2: 8 pages, Day 3: 12 pages. (Rule: Multiply Day by 4)
Joe bikes 6 miles to the beach and back each day. How many miles does he bike in 12 days?
144 miles. (Total miles per day is 6×2=12 miles. Total miles in 12 days is 12×12=144.)
Which of these numbers are divisible by 3? Choose all that apply: 95, 81, 86, 73, 57, 51.
81, 57, and 51. (A number is divisible by 3 if the sum of its digits is divisible by 3.)
Extend the pattern by three more numbers: 5, 6, 1, 5, 6, 1, ___, ___, ___
5, 6, 1. (The pattern is a repeating set of "5, 6, 1".)
Which of these are factor pairs of 24? Choose all that apply: A. 1 and 23, B. 7 and 3, C. 2 and 12, D. 5 and 5, E. 3 and 8, F. 6 and 4.
C. 2 and 12, E. 3 and 8, F. 6 and 4. (The complete list of factor pairs for 24 is: 1 and 24, 2 and 12, 3 and 8, 4 and 6.)