Arrays
The number of arrays that can be made with 36.
9 arrays
(1 row of 36, 36 rows of 1, 3 rows of 12, 12 rows of 3, 6 rows of 6, 9 rows of 4, 4 rows of 9, 2 rows of 18 and 18 rows of 2)
List all the factors of 6
1, 2, 3, 6
Is 8 prime or composite? Explain
Composite (it has 4 factors).
True or false?
Multiples are equal to or larger than the number.
True!
What are all the ways a band director can arrange the members of his band if he has 10 students? Hint: He wants to arrange them in equal rows.
He can do it 4 ways...
1 row of 10, 10 rows of 1, 2 rows of 5, and 5 rows of 2
THe number of arrays that can be made with 24
1 row of 24, 24 rows of 1, 2 rows of 12, 12 rows of 2, 3 rows of 8, 8 rows of 3, 4 rows of 6, 6 rows of 4
8 arrays
List all the factors for 12
1, 2, 3, 4, 6, 12
What is the only even number that is prime?
2
It has only 2 factors (1 and 2)
Why can't we name all the multiples of a number?
John lives on a street where all the houses are multiples of 5. Name 2 possible house numbers between 600 and 620.
Possible answers:
605, 610, 615
The number of arrays that can be made with 30
1 row of 30, 30 rows of 1, 2 rows of 15, 15 rows of 2, 3 rows of 10, 10 rows of 3, 5 rows of 6, 6 rows of 5
8 arrays
List all the factors of 25
1, 5, 25
All even numbers have a factor of 2, which means that have at least 3 factors (1, 2 and themselves)
List the first 5 multiples of 4
4, 8, 12, 16, 20
Larry says that all numbers with a 2 in the ones place are composite. Explain whether Larry is correct or incorrect.
Larry is incorrect, because 2 is a prime number. Any number greater than 2 with a 2 in the ones place would be composite.
The number of arrays that can be made with 40
1 row of 40, 40 rows of 1, 2 rows of 20, 20 rows of 2, 4 rows of 10, 10 rows of 4, 5 rows of 8, 8 rows of 5
8 arrays
List all the factors of 27
1, 3, 9, 27
Is 91 prime or composite?
Composite
The factors of 91 are 1, 7, 13, 91
Is 1,085 a multiple of 5? How do you know?
Yes! All multiples of 5 have a 5 or 0 in the ones place.
Create a true equation with the following clues.
The dividend is a multiple of 4.
The divisor is a factor of 12.
The quotient is a factor of 18.
Possible answer:
36 ÷4 = 9
1 row of 48, 48 rows of 1, 2 rows of 24, 24 rows of 2, 3 rows of 16, 16 rows of 3, 4 rows of 12, 12 rows of 4, 6 rows of 8, 8 rows of 6
10 arrays, 10 factors
1, 2, 4, 5, 10, 20, 25, 50, 100
Select the true statements.
All prime numbers have 2 factors.
A composite number has at least 3 factors.
All even numbers greater than 2 are composite.
All odd numbers are prime.
All are true except
"All odd numbers are prime"
Some odd numbers have more than 2 factors....for example 15 is odd and it has 4 factors (1, 3, 5, 15)
Name a number between 101 and 115 that is a multiple of 4.
All of these numbers can be divided by 4 with no remainder.
Create a true equation with the following clues...
The dividend is a multiple of 2.
The divisor is a factor of 16.
The quotient is a factor of 24.
12 ÷ 4 = 3