Factors of 267
Factors of 267 are the list of integers that we can split evenly into 267. There are 4 factors of 267, which are 1, 3, 89, 267. Here, 267 is the biggest factor. The Pair Factors of 267 are (1, 267), (3, 89) and its Prime Factors are 3 × 89.
- All Factors of 267: 1, 3, 89 and 267
- Negative Factors of 267: -1, -3, -89 and -267
- Prime Factors of 267: 3, 89
- Prime Factorization of 267: 31 × 891
- Sum of Factors of 267: 360
1. | What Are the Factors of 267? |
2. | Factors of 267 by Prime Factorization |
3. | Factors of 267 in Pairs |
4. | FAQs on Factors of 267 |
What are Factors of 267?
Factors of 267 are pairs of those numbers whose products result in 267. These factors are either prime numbers or composite numbers.
How to Find the Factors of 267?
To find the factors of 267, we will have to find the list of numbers that would divide 267 without leaving any remainder.
- 267/89 = 3; therefore, 89 is a factor of 267 and 3 is also a factor of 267.
- 267/267 = 1; therefore, 267 is a factor of 267 and 1 is also a factor of 267.
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Factors of 267 by Prime Factorization
- 267 ÷ 3 = 89
Further dividing 89 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 89 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 267 can be written as 31 × 891 where 3, 89 are prime.
Factors of 267 in Pairs
Pair factors of 267 are the pairs of numbers that when multiplied give the product 267. The factors of 267 in pairs are:
- 1 × 267 = (1, 267)
- 3 × 89 = (3, 89)
Negative pair factors of 267 are:
- -1 × -267 = (-1, -267)
- -3 × -89 = (-3, -89)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 267 Solved Examples
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Example 1: How many factors are there for 267?
Solution:
The factors of 267 are 1, 3, 89, 267. Therefore, 267 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 267 and 248.
Solution:
The factors of 267 are 1, 3, 89, 267 and factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248.
Therefore, the Lowest Common Multiple (LCM) of 267 and 248 is 66216 and Greatest Common Divisor (GCD) of 267 and 248 is 1. -
Example 3: Find if 1, 229 and 267 are factors of 267.
Solution:
When we divide 267 by 229 it leaves a remainder. Therefore, the number 229 is not a factor of 267. All numbers except 229 are factors of 267.
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Example 4: Find the product of all the prime factors of 267.
Solution:
Since, the prime factors of 267 are 3, 89. Therefore, the product of prime factors = 3 × 89 = 267.
FAQs on Factors of 267
What are the Factors of 267?
The factors of 267 are 1, 3, 89, 267 and its negative factors are -1, -3, -89, -267.
What is the Sum of Factors of 267?
Since, all factors of 267 are 1, 3, 89, 267 therefore, the sum of its factors is 1 + 3 + 89 + 267 = 360.
What are Pair Factors of 267?
The pair factors of 267 are (1, 267), (3, 89).
What is the Greatest Common Factor of 267 and 136?
The factors of 267 are 1, 3, 89, 267 and the factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. 267 and 136 have only one common factor which is 1. This implies that 267 and 136 are co-prime.
Hence, the Greatest Common Factor (GCF) of 267 and 136 is 1.
How Many Factors of 163 are also common to the Factors of 267?
Since, the factors of 267 are 1, 3, 89, 267 and factors of 163 are 1, 163. Hence, 267 and 163 have only one common factor which is 1. Therefore, 267 and 163 are co-prime.
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