Factors
What are the factors of 17?
1 and 17
There were some rabbits in a pen. Altogether I counted 56 feet. How many rabbits were in the pen?
14 rabbits
Give a definition of a prime number.
A number that has exactly two unique factors, 1 and itself. The numbers 2, 3 and 5 are some examples of prime numbers.
What remainders are possible when the divisor is 12?
There are a total of 12: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
It is the smallest two-digit prime number.
11
How many factors does 28 have?
6
How many cars are needed to take 46 Girl Scouts to the community center after school if each car holds six Girl Scouts in addition to the driver?
8 cars.
Use three math terms you learned in this unit to describe the number 36.
Examples of possible answers:
It is a composite number; even number; square number; multiple of 1, 2, 3, 4, 6, 9, 12, 18 and/or 36 and is a factor of 36, 72, etc.
Write a related sentence that uses multiplication for 45/6.
7 x 6 + 3 = 45
It is divisible by 10. The tens digit is equal to the number of legs on an insect.
60
Give an example of a number with exactly three different factors.
Any number that is a square of a prime number, such as 4, 9, 25, 49, etc.)
Pens cost $1.29 each. Use mental math to figure out how much it will cost to buy five pens.
Explain how you got the total $6.45.
What do the words product, sum, quotient and difference have in common?
All terms describe the answer as a result of an operation: multiplication, addition, division, subtraction.
The quotient is 13, the divisor is 6 and the remainder is 3. What is the dividend?
81
It is odd. It is prime. The product of the digits is 15.
53
List the factors of 39.
1, 3, 13 and 39.
Diogenes has been collecting recycled cans for a charity drive. Each can is worth 5 cents. Diogenes has raised $2.35. How many more cans does he need to collect in order to have a donation of $5.00?
53 cans.
What are the divisor and dividend, and how are they related?
The divisor is the number in a division problem that divides into another number, known as the dividend.
Jon said that 23/0 = 0 but Carla disagreed and said there is no answer. Who is right? Explain.
Carla is right since the multiplication sentence that corresponds to the division problem is 0x0-23, which is false. No answer is possible, which means that the problem is undefined.
It is composite. The digits add to 12. One of the factors is 13.
39
What is the greatest common factor of 24 and 18?
6
If hot dogs come in packages of eight and buns come in packages of 12, what is the minimum number of hot dog and bun packages needed so every bun has one hot dog?
3 packages of hot dogs and 2 packages of buns.
Explain how a multiple and a factor are alike and different.
A multiple and a factor both are terms used to describe multiplicative relationships; a factor is a number that divides exactly into a given whole number, and a multiple is a number that is the product of a given number and a whole number.
Make up a division word problem with a quotient of 3 1/2 in which the answer includes 3 as the remainder.
Answers will vary.
The digits sum to 9. It is odd. It is a square number.
81