Be My Multiple, I'll be Your Factor Test 1

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Be My Multiple, I'll be Your Factor Test 1

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Question 1
1 / -0

Common factors of $$9$$ and $$36$$ are

A
$$1,3,9$$

B
$$1,4,3,5,9$$

C
$$1,4,5$$

D
none of these

Solution

Factors of $$ 9 = 1, 3, 9 $$
Factors of $$ 36 = 1, 3, 4, 6, 9, 12, 36 $$

Common factors are $$ 1, 3, 9 $$
Question 2
1 / -0

Three common multiples of $$18$$ and $$6$$ are

A
$$18,6,9$$

B
$$18,36,6$$

C
$$36,54,72$$

D
None

Solution

Multiples of $$ 18 = 18, 36, 54...$$
Multiples of $$ 6 = 6, 12, 18, ... $$
The first common multiple will be $$ 18 $$
And the next common multiples will be multiples of $$ 18 $$
Hence, first three common multiples of $$ 18, 6 $$ are $$ 18, 36, 54 $$
Question 3
1 / -0

Multiple(s) of $$14$$ is/are

A
$$7$$

B
$$1$$

C
$$28$$

D
All of the above

Solution

Multiples of $$14$$ are $$14\times 1, 14\times 2$$ ....
And $$7$$ and $$1$$ are the factors of $$14$$.
So, option $$C$$ is correct.
Question 4
1 / -0

Which of the following is NOT a positive multiple of 12?

A
$$3$$

B
$$12$$

C
$$24$$

D
$$48$$

E
$$60$$

Solution

We know that, a positive multiple of a number is a number that is divisible by that number.
Hence, the positive multiples of $$12$$ will be:
$$12,\ 24,\ 36,\ 48,\ 60, .....$$ and so on.

Amongst the given options, we can see that $$3$$ is not a positive multiple of $$12$$.

Hence, $$3$$ is not a positive multiple of $$12$$.
Question 5
1 / -0

What are the three common multiples of $$18$$ and $$6$$?

A
$$18, 6, 9$$

B
$$18,36,6$$

C
$$36, 54, 72$$

D
none of these

Solution

Multiples of $$ 18 = 18, 36, 54, 72..... $$
Multiples of $$ 6 = 6, 12, 18, 24.... $$
The first common multiple will be $$ 18 $$
And the next common multiples will be multiples of $$ 18 $$
Hence, the common multiples of $$ 18, 6 $$ are $$ 18, 36, 54, 72 $$...
Question 6
1 / -0

Bhushan counted to $$60$$ using multiples of $$6.$$ Which statement is true about multiples of $$6?$$

A
They are all odd numbers.

B
They all have $$6$$ in the ones place.

C
They can all be divided evenly by $$3.$$

D
They can all be divided evenly by $$12.$$

Solution

Multiple of $$6$$ like $$6, 12, 18,24,30$$ and they can all be divided evenly by $$3$$.
So option $$C$$ is correct.
Question 7
1 / -0

Every number is a ...... and a ........ of itself.

A
factor, multiple

B
prime, composite

C
even, odd

D
none of these

Solution

Every number is a factor and a multiple of itself.
For example, $$ 10 $$ has a factor $$ 10 $$ as well as a multiple $$ 10. $$
Question 8
1 / -0

If the value of $$p=4$$ then, $$p , p +2, p + 4$$ is a multiple of .......... .

A
$$3$$

B
$$5$$

C
$$2$$

D
$$4$$

Solution

$$p = 4, 4\div 2 = 2$$
$$p + 2 = 4 +2, 6\div 2 = 3$$
$$p + 4 = 4 + 4, 8\div 2 = 4$$
Product is divisible by $$2.$$
Therefore, $$C$$ is the correct answer.
Question 9
1 / -0

LCM of the numbers $$12, 24$$ and $$36$$ is

A
$$36$$

B
$$24$$

C
$$72$$

D
$$108$$

Solution

Taking out the factors of the given numbers,
$$12 = 2 \times 2 \times 3$$
$$24 = 2 \times 2 \times 2 \times 3 $$
$$ 36 = 2 \times 2 \times 3 \times 3$$
$$\therefore $$ LCM of $$12,24$$ and $$36$$ $$= 2 \times 2 \times 2 \times 3 \times 3 = 72$$
Question 10
1 / -0

Find first four common multiples of $$1,2$$ and $$3$$.

A
$$2,4,8,10$$

B
$$3,6,12,30$$

C
$$6,12,18,24$$

D
$$1,2,3,4$$

Solution

Multiples of 1 are 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24
Multiples of 2 are 2,4,6,8,10,12,14,16,18,20,22,24
Multiples of 3 are 3,6,9,12,15,18,21,24,27,30
$$\therefore$$ First four common multiples $$= 6,12,18,24$$

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Be My Multiple, I'll be Your Factor Test 1

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Question 1

$$1,3,9$$

$$1,4,3,5,9$$

$$1,4,5$$

none of these

Solution

Question 2

$$18,6,9$$

$$18,36,6$$

$$36,54,72$$

None

Solution

Question 3

$$7$$

$$1$$

$$28$$

All of the above

Solution

Question 4

$$3$$

$$12$$

$$24$$

$$48$$

$$60$$

Solution

Question 5

$$18, 6, 9$$

$$18,36,6$$

$$36, 54, 72$$

none of these

Solution

Question 6

They are all odd numbers.

They all have $$6$$ in the ones place.

They can all be divided evenly by $$3.$$

They can all be divided evenly by $$12.$$

Solution

Question 7

factor, multiple

prime, composite

even, odd

none of these

Solution

Question 8

$$3$$

$$5$$

$$2$$

$$4$$

Solution

Question 9

$$36$$

$$24$$

$$72$$

$$108$$

Solution

Question 10

$$2,4,8,10$$

$$3,6,12,30$$

$$6,12,18,24$$

$$1,2,3,4$$

Solution

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