Factors
What is a factor?
A number multiplied by another number to find a product.
What are divisibility rules?
Rules that help determine whether a number is divisible by another number without division.
What is a multiple?
A multiple is a product of a counting number and another number.
What are prime numbers? What are composite numbers?
Prime Number: a number that has exactly two factors, 1 and itself.
Composite Number: A number than has more than two factors.
Is 3 a factor of 32? Why or why not?
3 is not a factor of 23 because 23 cannot be divided equally into 3 groups.
A number ends in 0 or 5. What rule does this represent?
5
Is 16 a multiple of 6? Why or why not?
16 is not a multiple of 6.
16 is not a product of 6 and any counting number.
Is 38 a prime or composite number? Why?
Composite. It has more than two factors. 1, 2, 19.38.
What are the factor pairs of 36?
1 and 36, 2 and 18, 3 and 12, 4, and 9, 6 and 6
Use the divisibility rule for 3 to determine if 96 is divisible by 3.
Rule: To determine if a number is divisible by 3, calculate the sum of the digits and divide by 3.
9 + 6 = 15
15 / 3 = 5, so 96 is divisible by 3.
List the first 5 multiples of 8.
8, 16, 24, 32, 40.
List 5 prime numbers.
Answers may vary.
Identify the factor pairs of 50 and explain why each pair are factors.
1 and 50, 2 and 25, 5, and 10.
Each pair of numbers can be divided equally into 50.
How can you tell if a number is divisible by 4, 7, and 8?
Long division. If there is a remainder, it is not divisible by 4, 7, or 8.
And/or
Multiplication facts
Define and provide your own example of a common multiple.
Answers may vary.
How can you determine if 47 is prime or composite?
Identify factors besides one and itself by using the divisibility rules, division, and/or multiplication.
Andrew says that 37 has more factors than 22 because 37 is greater than 22. Is this statement true or false? Why?
Patrick says that 54 is divisible by 9. Is he correct? How do you know?
Yes, he is correct.
5 + 4 = 9, and 9/9 =1
Or 54/ 9 = 6 ( no remainder)
Avery says the multiples of 16 are 1 and 16, 2 and 8, and 4 and 4. Is she correct? Why or why not?
If false, identify the multiples of 16.
Avery is incorrect, 1,2,4,8, and 16 are factors of 16, not multiples.
Multiples of 16: 16,32, 48,64...
True or False: All even numbers are composite. Justify your answer.
False- 2 is a prime number.