Factors of 1241
Factors of 1241 are numbers that, when multiplied in pairs give the product as 1241. There are overall 4 factors of 1241 among which 1241 is the biggest factor and 1, 17, 73, 1241 are positive factors. The Prime Factors of 1241 are 17 × 73 and its Factors in Pairs are (1, 1241), (17, 73).
- All Factors of 1241: 1, 17, 73 and 1241
- Negative Factors of 1241: -1, -17, -73 and -1241
- Prime Factors of 1241: 17, 73
- Prime Factorization of 1241: 171 × 731
- Sum of Factors of 1241: 1332
1. | What Are the Factors of 1241? |
2. | Factors of 1241 by Prime Factorization |
3. | Factors of 1241 in Pairs |
4. | FAQs on Factors of 1241 |
![Factors of 1241](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-1241.png)
What are Factors of 1241?
Factors of 1241 are pairs of those numbers whose products result in 1241. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1241?
To find the factors of 1241, we will have to find the list of numbers that would divide 1241 without leaving any remainder.
- 1241/73 = 17; therefore, 73 is a factor of 1241 and 17 is also a factor of 1241.
- 1241/1 = 1241; therefore, 1 is a factor of 1241 and 1241 is also a factor of 1241.
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- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 29 - The factors of 29 are 1, 29
- Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Factors of 1241 by Prime Factorization
- 1241 ÷ 17 = 73
Further dividing 73 by 17 gives a non-zero remainder. So we stop the process and continue dividing the number 73 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 1241 can be written as 171 × 731 where 17, 73 are prime.
Factors of 1241 in Pairs
Pair factors of 1241 are the pairs of numbers that when multiplied give the product 1241. The factors of 1241 in pairs are:
- 1 × 1241 = (1, 1241)
- 17 × 73 = (17, 73)
Negative pair factors of 1241 are:
- -1 × -1241 = (-1, -1241)
- -17 × -73 = (-17, -73)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1241 Solved Examples
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Example 1: How many factors are there for 1241?
Solution:
The factors of 1241 are 1, 17, 73, 1241. Therefore, 1241 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1241 and 908.
Solution:
The factors of 1241 are 1, 17, 73, 1241 and factors of 908 are 1, 2, 4, 227, 454, 908.
Therefore, the Lowest Common Multiple (LCM) of 1241 and 908 is 1126828 and Greatest Common Divisor (GCD) of 1241 and 908 is 1. -
Example 3: Find if 1, 17 and 266 are factors of 1241.
Solution:
When we divide 1241 by 266 it leaves a remainder. Therefore, the number 266 is not a factor of 1241. All numbers except 266 are factors of 1241.
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Example 4: Find the product of all the prime factors of 1241.
Solution:
Since, the prime factors of 1241 are 17, 73. Therefore, the product of prime factors = 17 × 73 = 1241.
FAQs on Factors of 1241
What are the Factors of 1241?
The factors of 1241 are 1, 17, 73, 1241 and its negative factors are -1, -17, -73, -1241.
What is the Sum of all Factors of 1241?
Since, all factors of 1241 are 1, 17, 73, 1241 therefore, the sum of its factors is 1 + 17 + 73 + 1241 = 1332.
What Numbers are the Prime Factors of 1241?
The prime factors of 1241 are 17, 73.
What is the Greatest Common Factor of 1241 and 654?
The factors of 1241 are 1, 17, 73, 1241 and the factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. 1241 and 654 have only one common factor which is 1. This implies that 1241 and 654 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1241 and 654 is 1.
How Many Factors of 394 are also common to the Factors of 1241?
Since, the factors of 1241 are 1, 17, 73, 1241 and factors of 394 are 1, 2, 197, 394. Hence, 1241 and 394 have only one common factor which is 1. Therefore, 1241 and 394 are co-prime.
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