Factors of 49 | Factor Pairs, Prime Factorization & Divisors

📊 Total Factors: 3
🔢 Prime Factors: 7
✅ Number Type: Composite Number

What Are the Factors of 49?

The factors of 49 are 1, 7, 49. A factor is a whole number that divides 49 exactly without leaving a remainder. These factors can be used to simplify fractions, solve math problems, and understand number relationships.

How to Find the Factors of 49

To find the factors of 49, divide the number by whole numbers starting from 1. If the result is a whole number with no remainder, that divisor is a factor.

49 ÷ 1 = 49
49 ÷ 7 = 7
49 ÷ 49 = 1

Is 49 Divisible by Other Numbers?

A number is divisible by another number if the division leaves no remainder.

❌ 49 is not divisible by 2
❌ 49 is not divisible by 3
❌ 49 is not divisible by 4
❌ 49 is not divisible by 5
❌ 49 is not divisible by 6
✅ 49 is divisible by 7
❌ 49 is not divisible by 8
❌ 49 is not divisible by 9
❌ 49 is not divisible by 10

Real-Life Uses of Factors of 49

Factors of 49 are useful in mathematics, grouping objects, simplifying fractions, finding dimensions of rectangles, and solving division problems. Understanding factors helps students build a strong foundation in arithmetic and number theory.

All Factors of 49

1, 7, 49

Factor Pairs of 49

• 1 × 49
• 7 × 7

Prime Factorization of 49

49 = 7 × 7

Worked Example: Finding Factors of 49

Step 1: Start testing numbers from 1 up to 49.

Step 2: Check which numbers divide 49 without leaving a remainder.

Step 3: The successful divisions are:

49 ÷ 1 = 49 (No remainder)
49 ÷ 7 = 7 (No remainder)
49 ÷ 49 = 1 (No remainder)

Answer: Therefore, the factors of 49 are 1, 7, 49.

Number Facts Table

Property	Value
Number	49
Total Factors	3
Largest Factor	49
Smallest Factor	1
Prime Factors	7
Even / Odd	Odd
Prime / Composite	Composite
Perfect Square	Yes
Perfect Cube	No

Properties of 49

Even or Odd: Odd Number

Prime or Composite: Composite Number

Perfect Square: Yes

Perfect Cube: No

Unique Prime Factors: 7

Interesting Facts About 49

• 49 is a composite number because it has more than two factors.
• 49 is an odd number.
• 49 is a perfect square number.
• The prime factorization of 49 is 7 × 7.
• 49 has 3 total factors.

Is 49 Prime or Composite?

49 is a composite number because it has 3 factors.

Related Factors Pages

Factors of 44
Factors of 45
Factors of 46
Factors of 47
Factors of 48
Factors of 50
Factors of 51
Factors of 52
Factors of 53
Factors of 54

Factoring Calculator

x² + 5x + 6 Simple Trinomial

6x² + 7x - 5 Complex Trinomial

4x² - 12x + 9 Perfect Square

x² - 49 Diff. of Squares

x³ - 27 Diff. of Cubes

2x² + 4x Common Factor

x³ + 3x² + 2x + 6 Grouping (NEW)

4x³ - 8x² + 12x Polynomial GCF

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Frequently Asked Questions

What are the factors of 49?
1, 7, 49

How many factors does 49 have?
3

Is 49 a prime number?
No

What is the largest factor of 49?
49

What is the smallest factor of 49?
1

What are the prime factors of 49?
7

Is 49 even or odd?
Odd

What is the factor pair of 49?
1 × 49, 7 × 7