Factors of 241
Factors of 241 are the list of integers that we can split evenly into 241. It has a total of 2 factors of which 241 is the biggest factor and the positive factors of 241 are 1, 241. The Prime Factors and Pair Factors of 241 are 241 and (1, 241) respectively.
- All Factors of 241: 1 and 241
- Negative Factors of 241: -1 and -241
- Prime Factors of 241: 241
- Prime Factorization of 241: 2411
- Sum of Factors of 241: 242
1. | What Are the Factors of 241? |
2. | Factors of 241 by Prime Factorization |
3. | Factors of 241 in Pairs |
4. | FAQs on Factors of 241 |
What are Factors of 241?
Factors of 241 are pairs of those numbers whose products result in 241. These factors are either prime numbers or composite numbers.
How to Find the Factors of 241?
To find the factors of 241, we will have to find the list of numbers that would divide 241 without leaving any remainder.
- 241/1 = 241; therefore, 1 is a factor of 241.
- 241/241 = 1; therefore, 241 is a factor of 241.
☛ Also Check:
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
- Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
- Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
- Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
Factors of 241 by Prime Factorization
So, the prime factorization of 241 can be written as 2411 where 241 is prime.
Factors of 241 in Pairs
Pair factors of 241 are the pairs of numbers that when multiplied give the product 241. The factors of 241 in pairs are:
- 1 × 241 = (1, 241)
Negative pair factors of 241 are:
- -1 × -241 = (-1, -241)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 241 Solved Examples
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Example 1: How many factors are there for 241?
Solution:
The factors of 241 are 1, 241. Therefore, 241 has 2 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 241 and 204.
Solution:
The factors of 241 are 1, 241 and factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204.
Therefore, the Lowest Common Multiple (LCM) of 241 and 204 is 49164 and Highest Common Factor (HCF) of 241 and 204 is 1. -
Example 3: Find if 108 and 241 are factors of 241.
Solution:
When we divide 241 by 108 it leaves a remainder. Therefore, the number 108 is not a factor of 241. All numbers except 108 are factors of 241.
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Example 4: Find the product of all the factors of 241.
Solution:
Since, the factors of 241 are 1, 241. Therefore, the product of factors = 1 × 241 = 241.
FAQs on Factors of 241
What are the Factors of 241?
The factors of 241 are 1, 241 and its negative factors are -1, -241.
What is the Sum of Factors of 241?
Since, all factors of 241 are 1, 241 therefore, the sum of its factors is 1 + 241 = 242.
What are Pair Factors of 241?
The pair factors of 241 are (1, 241).
What is the Greatest Common Factor of 241 and 234?
The factors of 241 are 1, 241 and the factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. 241 and 234 have only one common factor which is 1. This implies that 241 and 234 are co-prime.
Hence, the Greatest Common Factor (GCF) of 241 and 234 is 1.
How Many Factors of 241 are also Factors of 211?
Since, the factors of 241 are 1, 241 and factors of 211 are 1, 211. Hence, 241 and 211 have only one common factor which is 1. Therefore, 241 and 211 are co-prime.
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