Problems on Factors and Multiples

Q. How many multiples of 7 are there between 1 to 1000?

1. $141$
2. $100$
3. $142$

Q. Choose the number of individuals such that 20 apples are evenly distributed among themselves.

1. 2
2. 3
3. 4
4. 5
5. 6
6. 8
7. 10
8. 15
9. 20

Q. Find the number of factors of $192$ which are multiples of both $6$ and $8.$

Q. If Zack distributes 24 candies equally among eight of his friends, each will receive candies.

1. 3
2. 12
3. 6

Q. Sum of all numbers, which are both multiple of 25 and factor of 100, is .

Q. Natalie is placing 18 checkers into different stacks. She has 9 checkers in each stack. How many stacks will she have?

1. 2

Q. If Natalie places 18 checkers in 3 different stacks, how many checkers are there in each stack?

1. 18
2. 9
3. 6

Q. A rectangular painting has an area equal to $45$ $uni{t}^2$. What are its possible integer dimensions?

1. $1\times 45uni{t}^2$
2. $4\times 5uni{t}^2$
3. $4\times 9uni{t}^2$
4. $9\times 5uni{t}^2$
5. $5\times 9uni{t}^2$
6. $$ 2\times 18uni{t}^2${}^{}$
7. $$ 18\times 2uni{t}^2${}^{}$
8. $2\times 9uni{t}^2$
9. $45\times 1uni{t}^2$
10. $9\times 2uni{t}^2$

Q. Joy wants to divide 744 toy soldiers into different groups equally. Pop the number of groups he can make.

1. 2
2. 3
3. 5
4. 6
5. 4
6. 7
7. 12
8. 15

Q. Tiffany has a fancy ribbon of length 40 units. She wants to use the entire length of the ribbon to make tiny bows. She can make bows with ribbon pieces of length 3, 5, 6 and 7 units. Which lengths can she choose to make bows of the same size?

1. 5

Q. Lisa can evenly distribute $\$$70 among 5 or 10 of her friends but she can not evenly distribute this amount among 50 friends.

1. True
2. False

Q. Which of the following are common factors between numbers $\sqrt{625-\frac{10000}{25}}$ and $\frac{{10}^2}{4}$

1. $1$
2. $5$
3. $3$
4. $2$