Factors of 247
Factors of 247 are the list of integers that we can split evenly into 247. There are total 4 factors of 247 i.e. 1, 13, 19, 247. The sum of all factors of 247 is 280 and its factors in Pairs are (1, 247), (13, 19).
- All Factors of 247: 1, 13, 19 and 247
- Negative Factors of 247: -1, -13, -19 and -247
- Prime Factors of 247: 13, 19
- Prime Factorization of 247: 131 × 191
- Sum of Factors of 247: 280
1. | What Are the Factors of 247? |
2. | Factors of 247 by Prime Factorization |
3. | Factors of 247 in Pairs |
4. | FAQs on Factors of 247 |
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What are Factors of 247?
Factors of 247 are pairs of those numbers whose products result in 247. These factors are either prime numbers or composite numbers.
How to Find the Factors of 247?
To find the factors of 247, we will have to find the list of numbers that would divide 247 without leaving any remainder.
- 247/19 = 13; therefore, 19 is a factor of 247 and 13 is also a factor of 247.
- 247/1 = 247; therefore, 1 is a factor of 247 and 247 is also a factor of 247.
☛ Also Check:
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 247 by Prime Factorization
- 247 ÷ 13 = 19
Further dividing 19 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 19 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 247 can be written as 131 × 191 where 13, 19 are prime.
Factors of 247 in Pairs
Pair factors of 247 are the pairs of numbers that when multiplied give the product 247. The factors of 247 in pairs are:
- 1 × 247 = (1, 247)
- 13 × 19 = (13, 19)
Negative pair factors of 247 are:
- -1 × -247 = (-1, -247)
- -13 × -19 = (-13, -19)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 247 Solved Examples
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Example 1: How many factors are there for 247?
Solution:
The factors of 247 are 1, 13, 19, 247. Therefore, 247 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 247 and 66.
Solution:
The factors of 247 are 1, 13, 19, 247 and factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66.
Therefore, the Lowest Common Multiple (LCM) of 247 and 66 is 16302 and Greatest Common Divisor (GCD) of 247 and 66 is 1. -
Example 3: Find if 13, 128 and 247 are factors of 247.
Solution:
When we divide 247 by 128 it leaves a remainder. Therefore, the number 128 is not a factor of 247. All numbers except 128 are factors of 247.
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Example 4: Find the product of all the prime factors of 247.
Solution:
Since, the prime factors of 247 are 13, 19. Therefore, the product of prime factors = 13 × 19 = 247.
FAQs on Factors of 247
What are the Factors of 247?
The factors of 247 are 1, 13, 19, 247 and its negative factors are -1, -13, -19, -247.
What is the Sum of Factors of 247?
Since, all factors of 247 are 1, 13, 19, 247 therefore, the sum of its factors is 1 + 13 + 19 + 247 = 280.
What are Prime Factors of 247?
The prime factors of 247 are 13, 19.
What is the Greatest Common Factor of 247 and 216?
The factors of 247 are 1, 13, 19, 247 and the factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216. 247 and 216 have only one common factor which is 1. This implies that 247 and 216 are co-prime.
Hence, the Greatest Common Factor (GCF) of 247 and 216 is 1.
How Many Factors of 247 are also Factors of 154?
Since, the factors of 247 are 1, 13, 19, 247 and factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. Hence, 247 and 154 have only one common factor which is 1. Therefore, 247 and 154 are co-prime.
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