Factors
Find all the factor pairs of 36.
1, 2, 3, 4, 6, 9, 12, 18, 36
Is 48 a multiple of 6? Explain how you know.
Yes, because 6 × 8 = 48.
48 is a multiple of 6.
Is 29 a prime or composite number? Explain how you know.
29 is a prime number because it has only two factors: 1 and 29.
Look at this pattern:
2, 4, 6, 8, 10
What is the rule for this pattern?
Rule: Add 2
Maria has 6 boxes of apples. Each box has 8 apples. How many apples does Maria have in all?
6 × 8 = 48 apples
Write all the factors of 28.
1, 2, 4, 7, 14, 28
What are the first five multiples of 6?
6, 12, 18, 24, 30
Which of the following numbers is composite?
A. 2
B. 3
C. 9
D. 13
C. 9 — because it has more than two factors: 1, 3, and 9.
Write a pattern that starts at 5 and increases by 3 each time. Write the first five numbers in the pattern.
Pattern: 5, 8, 11, 14, 17
Jake bought 24 books. He gave 7 books to his friend. How many books does Jake have left?
24 – 7 = 17 books
Luca says 7 is a factor of 49. Do you agree? Why or why not?
Yes, because 7 × 7 = 49.
So, 7 is a factor of 49.
Is 34 a multiple of 5? Explain your answer.
No, because 5 does not divide evenly into 34.
34 ÷ 5 = 6.8, which is not a whole number.
So, 34 is not a multiple of 5.
Write all the factors of 16. Then decide if it is a prime or composite number.
Factors of 16: 1, 2, 4, 8, 16
Since it has more than two factors, 16 is a composite number.
Here is a pattern: 100, 90, 80, 70, ...
What is the rule? What will the 7th number be?
Rule: Subtract 10 each time.
7th number: 40
A class has 30 students. They sit in rows of 5. How many rows are there?
30 ÷ 5 = 6 rows
List all the factors of 45.
1, 3, 5, 9, 15, 45
Jenna says that 8 is a multiple of 2 and 4. Is she correct? Explain your reasoning.
Yes, Jenna is correct.
2 x 4 = 8
4 x 2 = 8
So, 8 is a multiple of both 2 and 4.
Liam says 17 is a composite number because it's odd. Is he correct? Why or why not?
Liam is incorrect.
17 is a prime number because it only has two factors: 1 and 17.
Being odd does not mean a number is composite.
The pattern starts at 50 and decreases by 5 each time. Write the first six numbers in the pattern.
50, 45, 40, 35, 30, 25
A farmer picked 50 oranges and packed them into bags of 10. How many bags did he fill?
50 ÷ 10 = 5 bags
Find all the factor pairs of 60.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Mark says that 96 is a multiple of 8. Do you agree with him? Explain why or why not.
Yes, Miguel is correct.
When you skip count by 8s, you get to 96.
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
Is 51 a prime or composite number? Explain how you know.
51 is a composite number because it has factors other than 1 and itself, such as 3 and 17 (3 × 17 = 51).
Look at this pattern:
2, 5, 8, 11, 14, ...
What is the rule? What are the next three numbers?
Rule: Add 3 to the previous number.
Next three numbers: 17, 20, 23
There are 45 pencils in a box. If 15 pencils are taken out, how many pencils are left?
45 – 15 = 30 pencils