# Prime Factorization Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Prime Factorization**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

Q 1 - Which of the following shows the prime factorization of 24?

### Answer : B

### Explanation

**Step 1:**

We can breakdown 24 into its factors as shown below.

24 = 3 × 8;

8 = 2 × 4;

4 = 2 × 2.

**Step 2:**

So the prime factorization of 24 is

= 2 × 2 × 2 × 3.

Q 2 - Which of the following shows the prime factorization of 27?

### Answer : C

### Explanation

**Step 1:**

We can breakdown 27 into its factors as shown below.

27 = 3 × 9;

9 = 3 × 3;

**Step 2:**

So the prime factorization of 27 is

= 3 × 3 × 3.

Q 3 - Which of the following shows the prime factorization of 32?

### Answer : A

### Explanation

**Step 1:**

We can breakdown 32 into its factors as shown below.

32 = 2 × 16;

16 = 2 × 8;

8 = 2 × 4;

4 = 2 × 2.

**Step 2:**

So the prime factorization of 32 is

= 2 × 2 × 2 × 2 × 2.

Q 4 - Which of the following shows the prime factorization of 36?

### Answer : D

### Explanation

**Step 1:**

We can breakdown 36 into its factors as shown below.

36 = 2 × 18;

18 = 2 × 9;

9 = 3 × 3;

**Step 2:**

So the prime factorization of 36 is

= 2 × 2 × 3 × 3

Q 5 - Which of the following shows the prime factorization of 48?

### Answer : B

### Explanation

**Step 1:**

We can breakdown 48 into its factors as shown below.

48 = 3 × 16;

16 = 2 × 8;

8 = 2 × 4;

4 = 2 × 2.

**Step 2:**

The prime factorization of 48 is

= 2 × 2 × 2 × 2 × 3

Q 6 - Which of the following shows the prime factorization of 50?

### Answer : A

### Explanation

**Step 1:**

We can breakdown 50 into its factors as shown below.

50 = 2 × 25;

25 = 5 × 5;

**Step 2:**

So the prime factorization of 50 is

= 2 × 5 × 5 = 2 × 5^{2}

Q 7 - Which of the following shows the prime factorization of 54?

### Answer : C

### Explanation

**Step 1:**

We can breakdown 54 into its factors as shown below.

54 = 2 × 27;

27 = 3 × 9;

9 = 3 × 3;

**Step 2:**

So the prime factorization of 54 is

= 2 × 3 × 3 × 3 = 2 × 3^{3}

Q 8 - Which of the following shows the prime factorization of 60?

### Answer : B

### Explanation

**Step 1:**

We can breakdown 60 into its factors as shown below.

60 = 2 × 30;

30 = 2 × 15;

15 = 3 × 5;

**Step 2:**

So the prime factorization of 60 is

= 2 × 2 × 3 × 5 = 2^{2} × 3 × 5

Q 9 - Which of the following shows the prime factorization of 64?

### Answer : D

### Explanation

**Step 1:**

We can breakdown 64 into its factors as shown below.

64 = 2 × 32;

32 = 2 × 16;

16 = 2 × 8;

8 = 2 × 4;

4 = 2 × 2.

**Step 2:**

So the prime factorization of 64 is

= 2 × 2 × 2 × 2 × 2 × 2 = 2^{6}

Q 10 - Which of the following shows the prime factorization of 84?

### Answer : A

### Explanation

**Step 1:**

We can breakdown 84 into its factors as shown below.

84 = 2 × 42;

42 = 2 × 21;

21 = 3 × 7;

**Step 2:**

So the prime factorization of 84 is

= 2 × 2 × 3 × 7 = 2^{2} × 3 × 7