17JUN21THU

INTERPRETATION OF DIVISION

Is it possible to give 72 marbles to 1 person?

Yes

72 is exactly divisible by 1.

1 divides 72 exactly.

1 is a factor of 72.

The person gets 72 marbles. Nothing remains. i.e., REMAINDER=0

72/1=72

It means, 72 marbles can be given to 72 people and each will get 1.

72 is also a factor of 72.

72/72=1, REMAINDER=0

1 and 72 are factors of 72.

[72/1=72 and 72/72=1; this is true for every number; 45/1=45 and 45/45=1; 104/1=104 and 104/104=1; therefore, 1 is a factor of every number; every number is a factor of itself.]

Is it possible to share 72 marbles between 2 friends equally?

Yes

72 is exactly divisible by 2. (36 times)

2 divides 72 exactly. (36 times)

2 is a factor of 72.

72/2=36, remainder=0

72 is DIVIDEND, 2 is DIVISOR, 36 is QUOTIENT.

(72 is numerator, 2 is denominator)

The other situation is, 72/36=2, remainder=0

72 marbles, shared equally among 36 people, each will get 2 marbles.

36 is a factor of 72.

2 and 36 are factors of 72.

Is it possible to share 72 marbles between 3 friends equally?

Yes

72 is exactly divisible by 3. (24 times)

3 divides 72 exactly. (24 times)

3 is a factor of 72.

72/3=24, remainder=0

72 is DIVIDEND, 3 is DIVISOR, 24 is QUOTIENT.

(72 is numerator, 3 is denominator)

The other situation is, 72/24=3, remainder=0

72 marbles, shared equally among 24 people, each will get 3 marbles.

24 is a factor of 72.

3 and 24 are factors of 72.

Is it possible to share 72 marbles between 4 friends equally?

Yes

72 is exactly divisible by 4. (18 times)

4 divides 72 exactly. (18 times)

4 is a factor of 72.

72/4=18, remainder=0

72 is DIVIDEND, 4 is DIVISOR, 18 is QUOTIENT.

(72 is numerator, 4 is denominator)

The other situation is, 72/18=4, remainder=0

72 marbles, shared equally among 18 people, each will get 4 marbles.

18 is a factor of 72.

4 and 18 are factors of 72.

Is it possible to share 72 marbles between 5 friends equally?

No

72 is not exactly divisible by 5.

5 does not divide 72 exactly.

5 is not a factor of 72.

72/5=14, remainder=2

72 is DIVIDEND, 5 is DIVISOR, 14 is QUOTIENT.

(72 is numerator, 5 is denominator)

There is no second situation.

Is it possible to share 72 marbles among 6 friends equally?

Yes

72 is exactly divisible by 6. (12 times)

6 divides 72 exactly. (12 times)

6 is a factor of 72.

72/6=12, remainder=0

72 is DIVIDEND, 6 is DIVISOR, 12 is QUOTIENT.

(72 is numerator, 6 is denominator)

The other situation is, 72/12=6, remainder=0

72 marbles, shared equally among 12 people, each will get 6 marbles.

12 is a factor of 72.

6 and 12 are factors of 72.

Is it possible to share 72 marbles between 7 friends equally?

No

72 is not exactly divisible by 7.

7 does not divide 72 exactly.

7 is not a factor of 72.

72/7=10, remainder=2

72 is DIVIDEND, 7 is DIVISOR, 10 is QUOTIENT.

(72 is numerator, 7 is denominator)

There is no second situation.

Is it possible to share 72 marbles among 8 friends equally?

Yes

72 is exactly divisible by 8. (9 times)

8 divides 72 exactly. (9 times)

8 is a factor of 72.

72/8=9, remainder=0

72 is DIVIDEND, 8 is DIVISOR, 9 is QUOTIENT.

(72 is numerator, 8 is denominator)

The other situation is, 72/9=8, remainder=0

72 marbles, shared equally among 9 people, each will get 8 marbles.

9 is a factor of 72.

8 and 9 are factors of 72.

72=1x72

72=2x36

72=3x24

72=4x18

72=6x12

72=8x9

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

72 has 12 factors.

Other than 1, what is the smallest factor of 72?

2

Other than itself, what is the highest factor of 72?

36