Factor Frenzy
List all the factors of 12.
1, 2, 3, 4, 6, 12
Write the first five positive multiples of 6.
6, 12, 18, 24, 30
Complete the sentence: 5 is a ______ of 35.
Factor
List all the common factors of 12 and 18.
1, 2, 3, 6
Always, sometimes, or never: A multiple of 10 ends in 0.
Always
Is 7 a factor of 56? Explain how you know.
Yes. 56 ÷ 7 = 8 with no remainder.
Is 54 a multiple of 6? Explain how you know.
Yes. 6 × 9 = 54.
Complete the sentence: 42 is a ______ of 7.
Multiple
What is the greatest common factor of 24 and 36?
12
Always, sometimes, or never: A factor of 24 can be greater than 24.
Never
Give all the factor pairs of 36.
1×36, 2×18, 3×12, 4×9, 6×6
List every multiple of 8 between 20 and 50.
24, 32, 40, 48
True or false: 8 is a factor of 48 AND 48 is a multiple of 8.
TRUE
What is the least common multiple of 8 and 12?
24
Always, sometimes, or never: An odd number is a multiple of 3.
Sometimes
Which number has exactly three factors: 16, 25, 30, or 36?
25 (factors: 1, 5, 25)
What is the smallest positive number that is a multiple of both 6 and 8?
24
Can 18 be both a multiple of 3 and a factor of 72?
Yes. 18 = 3 × 6 and 72 = 18 × 4.
Two lights flash together. One flashes every 6 seconds and the other every 8 seconds. In how many seconds will they flash together again?
24 seconds
I am between 15 and 25. I am a multiple of 3 and I have exactly six positive factors. What number am I?
18
A number has exactly these factors: 1, 2, 4, 7, 14, 28. What is the number?
28
I am a multiple of both 9 and 12. I am greater than 50 but less than 100. What number am I?
72
For positive whole numbers, when can one number be BOTH a factor and a multiple of another number?
Only when the two numbers are equal.
A teacher has 48 pencils and 72 erasers and wants to make the greatest possible number of identical prize packs with no leftovers. How many packs can be made?
24 packs
I am between 30 and 50. I am a multiple of 6 and a factor of 84. What number am I?
42