Be My Multiple, I'll be Your Factor Test 3

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Be My Multiple, I'll be Your Factor Test 3

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Weekly Quiz Competition

Question 1
1 / -0

Represent 24 as product of prime factors

A
$$24=4\times 6$$

B
$$24=8\times 3$$

C
$$24=2\times 2\times 2\times 3$$

D
$$24=2\times 2\times 6$$

Solution

$$24=2\times2\times2\times3$$
Question 2
1 / -0

Identify factor trees of 18 from the given figures.

A
Only figure (A)

B
Only figure (B)

C
Both figure (A) and (B)

D
None of the above

Solution

$$18 = 9 \times 2 = 3 \times 3 \times 2 = 6 \times 3 $$
Question 3
1 / -0

All the factors of 24

A
1, 2, 4, 8, 12, 24

B
1, 3, 8, 12, 24

C
1, 2, 3, 4, 6, 8, 12, 24

D
1, 4, 8, 14, 24

Solution

The factors of $$24 $$ are 1, 2, 3, 4, 6, 8, 12, 24.
Question 4
1 / -0

Find all the prime factors of 15 and 30 and hence find Highest Common Factor of 15 and 30.

A
15

B
30

C
5

D
1

Solution

$$15=3\times5$$
$$30=2\times3\times5$$
Highest common factor =$$3\times5=15$$
Question 5
1 / -0

All the prime factors of 50

A
$$50=5\times 10$$

B
$$50=2\times 25$$

C
$$50=5\times 5\times 2$$

D
$$50=5\times 5$$

Solution

$$50=5\times 5\times 2$$
Question 6
1 / -0

Find Highest Common Factor of 35 and 45

A
15

B
10

C
5

D
7

Solution

$$35=5\times7$$
$$45=3\times3\times5$$
HCF$$=5$$
Question 7
1 / -0

Perform prime factorisation of 30, 40 and 50 by factor tree method. Hence find the highest common factor of 30,40 and 50

A
5

B
20

C
40

D
10

Solution

$$30=2\times3\times5$$
$$40=2\times2\times2\times5$$
$$50=2\times5\times5$$
$$HCF=2\times5=10$$
Question 8
1 / -0

Find the first four common multiples of the following :
$$3, 4$$ and $$6$$.

A
$$72, 78, 84, 90$$

B
$$12, 24, 36, 48$$

C
$$24, 30, 36, 42$$

D
$$8, 12, 16, 21$$

Solution

Multiples of $$ 3 = 3, 6, 9, 12, 15, 18.. $$
Multiples of $$ 4 = 4, 8, 12, 16, 20.. $$
Multiples of $$ 6 = 6, 12, 18, 36.. $$

The first common multiple will be $$ 12 $$

And the next common multiples will be multiples of $$ 12 $$

Hence, first four common multiples of $$ 3, 4, 6 $$ are $$ 12, 24, 36, 48 $$
Question 9
1 / -0

Find the first four common multiples of the following :
$$3$$ and $$4$$.

A
$$24, 28, 32, 36$$

B
$$24, 27, 33, 36$$

C
$$12, 24, 36, 48$$

D
$$12, 15, 20, 24$$

Solution

Multiples of $$ 3 = 3, 6, 9, 12, 15, 18.. $$
Multiples of $$ 4 = 4, 8, 12, 16, 20.. $$

The first common multiple will be $$ 12 $$

And the next common multiples will be multiples of $$ 12 $$

Hence, first four common multiples of $$ 3, 4 $$ are $$ 12, 24, 36, 48 $$
Question 10
1 / -0

Find the first six multiples of $$17$$

A
$$17, 51, 85, 102, 119$$

B
$$34, 76, 102, 119, 340$$

C
$$34, 51, 68, 102, 170$$

D
$$17, 34, 51, 68, 85, 102$$

Solution

First six multiples of $$ 17 = 17, 34, 51, 68, 85$$ and $$102. $$

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Be My Multiple, I'll be Your Factor Test 3

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Question 1

$$24=4\times 6$$

$$24=8\times 3$$

$$24=2\times 2\times 2\times 3$$

$$24=2\times 2\times 6$$

Solution

Question 2

Only figure (A)

Only figure (B)

Both figure (A) and (B)

None of the above

Solution

Question 3

1, 2, 4, 8, 12, 24

1, 3, 8, 12, 24

1, 2, 3, 4, 6, 8, 12, 24

1, 4, 8, 14, 24

Solution

Question 4

15

30

5

1

Solution

Question 5

$$50=5\times 10$$

$$50=2\times 25$$

$$50=5\times 5\times 2$$

$$50=5\times 5$$

Solution

Question 6

15

10

5

7

Solution

Question 7

5

20

40

10

Solution

Question 8

$$72, 78, 84, 90$$

$$12, 24, 36, 48$$

$$24, 30, 36, 42$$

$$8, 12, 16, 21$$

Solution

Question 9

$$24, 28, 32, 36$$

$$24, 27, 33, 36$$

$$12, 24, 36, 48$$

$$12, 15, 20, 24$$

Solution

Question 10

$$17, 51, 85, 102, 119$$

$$34, 76, 102, 119, 340$$

$$34, 51, 68, 102, 170$$

$$17, 34, 51, 68, 85, 102$$

Solution

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