Factors of 244
Factors of 244 are integers that can be divided evenly into 244. There are overall 6 factors of 244 among which 244 is the biggest factor and 1, 2, 4, 61, 122, 244 are positive factors. The sum of all factors of 244 is 434 and its factors in Pairs are (1, 244), (2, 122), (4, 61).
- All Factors of 244: 1, 2, 4, 61, 122 and 244
- Negative Factors of 244: -1, -2, -4, -61, -122 and -244
- Prime Factors of 244: 2, 61
- Prime Factorization of 244: 22 × 611
- Sum of Factors of 244: 434
1. | What Are the Factors of 244? |
2. | Factors of 244 by Prime Factorization |
3. | Factors of 244 in Pairs |
4. | FAQs on Factors of 244 |
What are Factors of 244?
Factors of 244 are pairs of those numbers whose products result in 244. These factors are either prime numbers or composite numbers.
How to Find the Factors of 244?
To find the factors of 244, we will have to find the list of numbers that would divide 244 without leaving any remainder.
- 244/1 = 244; therefore, 1 is a factor of 244.
- 244/4 = 61; therefore, 4 is a factor of 244.
☛ Also Check:
- Factors of 10 - The factors of 10 are 1, 2, 5, 10
- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
- Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factors of 23 - The factors of 23 are 1, 23
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
Factors of 244 by Prime Factorization
- 244 ÷ 2 = 122
- 122 ÷ 2 = 61
Further dividing 61 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 61 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 244 can be written as 22 × 611 where 2, 61 are prime.
Factors of 244 in Pairs
Pair factors of 244 are the pairs of numbers that when multiplied give the product 244. The factors of 244 in pairs are:
- 1 × 244 = (1, 244)
- 2 × 122 = (2, 122)
- 4 × 61 = (4, 61)
Negative pair factors of 244 are:
- -1 × -244 = (-1, -244)
- -2 × -122 = (-2, -122)
- -4 × -61 = (-4, -61)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 244 Solved Examples
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Example 1: How many factors are there for 244?
Solution:
The factors of 244 are 1, 2, 4, 61, 122, 244. Therefore, 244 has 6 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 244 and 189.
Solution:
The factors of 244 are 1, 2, 4, 61, 122, 244 and factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189.
Therefore, the Lowest Common Multiple (LCM) of 244 and 189 is 46116 and Greatest Common Factor (GCF) of 244 and 189 is 1. -
Example 3: Find if 1, 2, 42 and 244 are factors of 244.
Solution:
When we divide 244 by 42 it leaves a remainder. Therefore, the number 42 is not a factor of 244. All numbers except 42 are factors of 244.
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Example 4: Find the product of all the prime factors of 244.
Solution:
Since, the prime factors of 244 are 2, 61. Therefore, the product of prime factors = 2 × 61 = 122.
FAQs on Factors of 244
What are the Factors of 244?
The factors of 244 are 1, 2, 4, 61, 122, 244 and its negative factors are -1, -2, -4, -61, -122, -244.
What is the Sum of the Factors of 244?
All the Factors of 244 are 1, 2, 4, 61, 122, 244 and therefore the sum of all these factors is 1 + 2 + 4 + 61 + 122 + 244 = 434
What are Pair Factors of 244?
The pair factors of 244 are (1, 244), (2, 122), (4, 61).
What is the Greatest Common Factor of 244 and 113?
The factors of 244 are 1, 2, 4, 61, 122, 244 and the factors of 113 are 1, 113. 244 and 113 have only one common factor which is 1. This implies that 244 and 113 are co-prime.
Hence, the Greatest Common Factor (GCF) of 244 and 113 is 1.
What are the Common Factors of 244 and 45?
Since, the factors of 244 are 1, 2, 4, 61, 122, 244 and factors of 45 are 1, 3, 5, 9, 15, 45. Hence, 244 and 45 have only one common factor which is 1. Therefore, 244 and 45 are co-prime.
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