- Prime Numbers Factors and Multiples
- Home
- Even and Odd Numbers
- Divisibility Rules for 2, 5, and 10
- Divisibility Rules for 3 and 9
- Factors
- Prime Numbers
- Prime Factorization
- Greatest Common Factor of 2 Numbers
- Greatest Common Factor of 3 Numbers
- Introduction to Distributive Property
- Understanding the Distributive Property
- Introduction to Factoring With Numbers
- Factoring a Sum or Difference of Whole Numbers
- Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Word Problem Involving the Least Common Multiple of 2 Numbers

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Introduction to Factoring With Numbers Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Introduction to Factoring With Numbers**. 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.

### Answer : A

### Explanation

**Step 1:**

Given number 35 in expanded form is

35 = 30 + 5

**Step 2:**

Factoring out 5 from this expanded form

35 = 30 + 5 = 5 × 6 + 5 × 1 = 5(6 + 1)

Q 2 - Factor out a common factor of 2 from 26.

### Answer : C

### Explanation

**Step 1:**

Given number 26 in expanded form is

26 = 20 + 6

**Step 2:**

Factoring out 2 from this expanded form

26 = 20 + 6 = 2 × 10 + 2 × 3 = 2(10 + 3)

Q 3 - Factor out a common factor of 3 from 36.

### Answer : B

### Explanation

**Step 1:**

Given number 36 in expanded form is

36 = 30 + 6

**Step 2:**

Factoring out 3 from this expanded form

36 = 30 + 6 = 3 × 10 + 3 × 2 = 3(10 + 2)

Q 4 - Factor out a common factor of 4 from 48.

### Answer : D

### Explanation

**Step 1:**

Given number 48 in expanded form is

48 = 40 + 8

**Step 2:**

Factoring out 8 from this expanded form

48 = 40 + 8 = 4 × 10 + 4 × 2 = 4(10 + 2)

### Answer : B

### Explanation

**Step 1:**

Given number 36 in expanded form is

36 = 30 + 6

**Step 2:**

Factoring out 6 from this expanded form

36 = 30 + 6 = 6 × 5 + 6 × 1 = 6(5 + 1)

Q 6 - Factor out a common factor of 8 from 88.

### Answer : C

### Explanation

**Step 1:**

Given number 88 in expanded form is

88 = 80 + 8

**Step 2:**

Factoring out 8 from this expanded form

88 = 80 + 8 = 8 × 10 + 8 × 1 = 8(10 + 1)

Q 7 - Factor out a common factor of 7 from 77.

### Answer : A

### Explanation

**Step 1:**

Given number 77 in expanded form is

77 = 70 + 7

**Step 2:**

Factoring out 7 from this expanded form

77 = 70 + 7 = 7 × 10 + 7 × 1 = 7(10 + 1)

Q 8 - Factor out a common factor of 3 from 39.

### Answer : B

### Explanation

**Step 1:**

Given number 39 in expanded form is

39 = 30 + 9

**Step 2:**

Factoring out 3 from this expanded form

39 = 30 + 9 = 3 × 10 + 3 × 3 = 3(10 + 3)

Q 9 - Factor out a common factor of 5 from 55.

### Answer : D

### Explanation

**Step 1:**

Given number 55 in expanded form is

55 = 50 + 5

**Step 2:**

Factoring out 5 from this expanded form

55 = 50 + 5 = 5 × 10 + 5 × 1 = 5(10 + 1)

Q 10 - Factor out a common factor of 4 from 84.

### Answer : C

### Explanation

**Step 1:**

Given number 84 in expanded form is

84 = 80 + 4

**Step 2:**

Factoring out 4 from this expanded form

84 = 80 + 4 = 4 × 20 + 4 × 1 = 4(20 + 1)