Solved Examples on Factors of Numbers
Example 1: Find all the factors of 64 by multiplication method.
Solution:
Factors of 64
- 1 × 64 = 64
- 2 × 32 = 64
- 4 × 16 = 64
- 8 × 8 = 64
Hence the factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
Example 2: Find common factors of 24 and 48.
Solution:
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
Hence the common factors of 24 and 48 are 1, 2, 3, 4, 6, 8, 12, and 24.
Example 3: Find all the factors of 32 by division method.
Solution:
Factors of 32
- 32 ÷ 1 = 32
- 32 ÷ 2 = 16
- 32 ÷ 4 = 8
Hence the factors of 32 are 1, 2, 4, 8, 16, and 32.
Example 4: Check if 50 is a factor of 1550 or not.
Solution:
We have to check the divisibility of 50 and 1550
1550 ÷ 50 = 31 ( with remainder 0)
Hence 1550 is exactly divisible by 50 so 50 is a factor of 1550.
Important Maths Related Links:
Factors of a Number
Factors of a Number: In mathematics, a factor is a number that divides another number perfectly, leaving no remainder. Factors can also be seen as pairs of numbers that, when multiplied together, result in the original number. For example, 2 and 3 are factors of 6 because multiplying them together gives 6. A single number can have multiple factors.
Let’s learn about the factors of prime and composite numbers, common factors, and methods to find them.
Table of Content
- What are Factors of a Number?
- Factors of a Number Definition
- Factors of a Number Properties
- How to Find Factors of a Number?
- Finding Factors Using Multiplication Method
- Finding Factors Using Division Method
- Prime Factorization by Factor Tree Method
- How To Check whether a Number is a Factor?
- Factors of Prime Numbers
- Factors of Composite Numbers
- Factors of Square Numbers
- Common Factors
- Prime Factors of a Number
- Factors Formulas
- Sum of Factors
- Number of Factors
- Product of Factors
- Factors and Multiples
- Difference between Factors and Multiples
- Solved Examples on Factors of Numbers
- Practice Questions on Factors of Number