Factors & Multiples
Is 27 a prime number or a composite number?
Composite. Sample response: 27 is a composite number because it has factor
pairs 1 and 27 and also 3 and 9.
For each fraction, write an equivalent fraction with the given denominator.
1/2 = _/12
6/12
42 x 63
2,646
432÷6.
72
An angle that measures less than 90 degrees.
acute angle
Find all factor pairs of 36.
1 and 36, 2 and 18, 3 and 12, 4 and 9, and 6 and 6
List 3 different equivalent fractions for 4/5
8/10, 40/50, 80/100
Which is the best estimate for the value of 4,821 x 6?
30,000
132÷4.
33
An angle that measures 180 degrees.
straight angle
The cards can be divided equally between 5 players. Could there be 50 cards?
Yes. Sample response: 50 is a multiple of 5. Each player could get 10 cards.
List two fractions that are equivalent to 3/4
6/8, and 9/12
3 x 6,489
19,467
702÷3.
234
What are perpendicular lines
lines that intersect that make right angles
The cards can be divided equally between 3 players, 4 players, or 5
players. How many cards could there be? Explain or show your reasoning.
60. I need a number that is a multiple of 3 (since the cards can be divided evenly between 3 players) and is also a multiple of 4 and 5. I know 20 is a multiple of 4 and 5, but it is not a multiple of 3. I tried 40, which is a multiple of 4 and 5, but it is not a multiple of 3. The number 60 is a multiple of 4, 5, and also 3.
To show that 7/12 is equivalent to 14/24, Kiran wrote: 2 × 7= 14
2 × 12 = 24. Do you agree with
Kiran? Explain your reasoning.
Yes, I agree with Kiran.
Sample response: 7__
12 is 7 equal parts when there are 12 of those parts in 1 whole.
If I partition each of those 12 parts into 2 smaller parts, then I get 2 × 7 of the
smaller parts with 2 × 12 of them in the whole. That’s 2 × 7___
2 × 12.
8×4,973
39,784
5 divided by 2,315
403
What are parallel lines
lines that never intersect
Is 29 a prime number or a composite number? Explain or show your reasoning.
Prime. 29 is a prime number because it only has one factor pair, 1 and 29.
Which fraction is greater: 7/3 or 10/3 ? Explain your reasoning.
10/3 is greater. Ten 1/3s are greater than seven 1/3s. The parts are the same size, so 10 parts is greater than 7 parts.
6×2,947
17,682
2,023÷7
289
What's a Ray?
a line that ends at one point and goes on in the other direction.