Factors
Word Problems
Vocabulary
Anything Goes
Name that two-digit number
100

What are the factors of 17?

1 and 17

100

There were some rabbits in a pen.  Altogether I counted 56 feet.  How many rabbits were in the pen?

14 rabbits

100

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.

100

498 x 7

3,486

100

It is the smallest two-digit prime number.

2

200

How many factors does 28 have?

6

200
How many cars are needed to take 46 Girl Scouts to the community center after school if each car hold six Girl Scouts in addition to the driver?

8 cars

200

Use three math terms you learned in this unit to describe the number 36.  

composite number

even number

square number

multiple of 1, 2, 3, 4, 6, 8, 12, 18 and 36

factor of 36, 72, and so on

200

632  divided by 9

70 R2      OR     70 2/9

200

It is divisible by 10.  The tens digit is equal to the number of legs on an insect. 

60

300

Give an example of a number with exactly three different factors?

4, 9, 25, 49, 121, 169, 289, 361, 529, etc...

(any number that is a square of a prime number)

300

Pens cost $1.29 each.  Use mental math to figure out how much it will cost to buy five pens.

$6.45

300

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, and subtraction).

300

DAILY DOUBLE !!!

What is the least common multiple of 4, 6, and 8?

24

300

It is odd.  It is prime.  The product of the digits is 15.  

53

400

List the factors of 39.

1, 3, 13 and 39.

400

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

400

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, which is the dividend. 

400

Explain how to multiply 299 times 4 in your head.  Give the answer. 

1,196

One strategy would be to round 299 to 300, then multiply 300 by 4 to get 1200.  Since 300 - 299 = 1, you have 4 more than you need, so you must subtract 4 from 1200 to get 1196.

400

It is composite.  The digits add up to 12.  One of the factors is 13.  

39

500

What is the greatest common factor of 24 and 18?

6

500

DAILY DOUBLE!!!

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

500

Explain how a multiple and a factor are alike and different?

A multiple and factor both are terms used to describe multiplication 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. 

500

I'm thinking of the smallest number that when divided by 4 has a remainder of 3, but when divided by 5 has a remainder of 0.  What is the number?

15

500

The sum of the digits is 9.  It is odd.  It is a square number. 

81

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