Factors of 122
Factors of 122 are integers that can be divided evenly into 122. There are 4 factors of 122 of which 122 itself is the biggest factor and its positive factors are 1, 2, 61, 122. The sum of all factors of 122 is 186. Its Prime Factors are 2 × 61 and (1, 122), (2, 61) are Pair Factors.
- All Factors of 122: 1, 2, 61 and 122
- Negative Factors of 122: -1, -2, -61 and -122
- Prime Factors of 122: 2, 61
- Prime Factorization of 122: 21 × 611
- Sum of Factors of 122: 186
1. | What Are the Factors of 122? |
2. | Factors of 122 by Prime Factorization |
3. | Factors of 122 in Pairs |
4. | FAQs on Factors of 122 |
What are Factors of 122?
Factors of 122 are pairs of those numbers whose products result in 122. These factors are either prime numbers or composite numbers.
How to Find the Factors of 122?
To find the factors of 122, we will have to find the list of numbers that would divide 122 without leaving any remainder.
- 122/2 = 61; therefore, 2 is a factor of 122 and 61 is also a factor of 122.
- 122/122 = 1; therefore, 122 is a factor of 122 and 1 is also a factor of 122.
☛ Also Check:
- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 29 - The factors of 29 are 1, 29
- Factors of 15 - The factors of 15 are 1, 3, 5, 15
- Factors of 23 - The factors of 23 are 1, 23
Factors of 122 by Prime Factorization
- 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 122 can be written as 21 × 611 where 2, 61 are prime.
Factors of 122 in Pairs
Pair factors of 122 are the pairs of numbers that when multiplied give the product 122. The factors of 122 in pairs are:
- 1 × 122 = (1, 122)
- 2 × 61 = (2, 61)
Negative pair factors of 122 are:
- -1 × -122 = (-1, -122)
- -2 × -61 = (-2, -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 122 Solved Examples
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Example 1: How many factors are there for 122?
Solution:
The factors of 122 are 1, 2, 61, 122. Therefore, 122 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 122 and 55.
Solution:
The factors of 122 are 1, 2, 61, 122 and factors of 55 are 1, 5, 11, 55.
Therefore, the Least Common Multiple (LCM) of 122 and 55 is 6710 and Highest Common Factor (HCF) of 122 and 55 is 1. -
Example 3: Find if 2, 25 and 122 are factors of 122.
Solution:
When we divide 122 by 25 it leaves a remainder. Therefore, the number 25 is not a factor of 122. All numbers except 25 are factors of 122.
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Example 4: Find the product of all the prime factors of 122.
Solution:
Since, the prime factors of 122 are 2, 61. Therefore, the product of prime factors = 2 × 61 = 122.
FAQs on Factors of 122
What are the Factors of 122?
The factors of 122 are 1, 2, 61, 122 and its negative factors are -1, -2, -61, -122.
What is the Sum of all the Factors of 122?
All the Factors of 122 are 1, 2, 61, 122 and therefore the sum of all these factors is 1 + 2 + 61 + 122 = 186
What are Prime Factors of 122?
The prime factors of 122 are 2, 61.
What is the Greatest Common Factor of 122 and 46?
The factors of 122 and 46 are 1, 2, 61, 122 and 1, 2, 23, 46 respectively.
Common factors of 122 and 46 are [1, 2].
Hence, the GCF of 122 and 46 is 2.
How Many Factors of 122 are also common to the Factors of 25?
Since, the factors of 122 are 1, 2, 61, 122 and factors of 25 are 1, 5, 25. Hence, 122 and 25 have only one common factor which is 1. Therefore, 122 and 25 are co-prime.
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