Factors of 161
Factors of 161 are the list of integers that can be evenly divided into 161. There are overall 4 factors of 161 among which 161 is the biggest factor and 1, 7, 23, 161 are positive factors. The sum of all factors of 161 is 192 and its factors in Pairs are (1, 161), (7, 23).
- All Factors of 161: 1, 7, 23 and 161
- Negative Factors of 161: -1, -7, -23 and -161
- Prime Factors of 161: 7, 23
- Prime Factorization of 161: 71 × 231
- Sum of Factors of 161: 192
1. | What Are the Factors of 161? |
2. | Factors of 161 by Prime Factorization |
3. | Factors of 161 in Pairs |
4. | FAQs on Factors of 161 |
What are Factors of 161?
Factors of 161 are pairs of those numbers whose products result in 161. These factors are either prime numbers or composite numbers.
How to Find the Factors of 161?
To find the factors of 161, we will have to find the list of numbers that would divide 161 without leaving any remainder.
- 161/7 = 23; therefore, 7 is a factor of 161 and 23 is also a factor of 161.
- 161/1 = 161; therefore, 1 is a factor of 161 and 161 is also a factor of 161.
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- Factors of 11 - The factors of 11 are 1, 11
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- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
Factors of 161 by Prime Factorization
- 161 ÷ 7 = 23
Further dividing 23 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 23 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 161 can be written as 71 × 231 where 7, 23 are prime.
Factors of 161 in Pairs
Pair factors of 161 are the pairs of numbers that when multiplied give the product 161. The factors of 161 in pairs are:
- 1 × 161 = (1, 161)
- 7 × 23 = (7, 23)
Negative pair factors of 161 are:
- -1 × -161 = (-1, -161)
- -7 × -23 = (-7, -23)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 161 Solved Examples
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Example 1: How many factors are there for 161?
Solution:
The factors of 161 are 1, 7, 23, 161. Therefore, 161 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 161 and 81.
Solution:
The factors of 161 are 1, 7, 23, 161 and factors of 81 are 1, 3, 9, 27, 81.
Therefore, the Lowest Common Multiple (LCM) of 161 and 81 is 13041 and Greatest Common Factor (GCF) of 161 and 81 is 1. -
Example 3: Find if 7, 23 and 144 are factors of 161.
Solution:
When we divide 161 by 144 it leaves a remainder. Therefore, the number 144 is not a factor of 161. All numbers except 144 are factors of 161.
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Example 4: Find the product of all the prime factors of 161.
Solution:
Since, the prime factors of 161 are 7, 23. Therefore, the product of prime factors = 7 × 23 = 161.
FAQs on Factors of 161
What are the Factors of 161?
The factors of 161 are 1, 7, 23, 161 and its negative factors are -1, -7, -23, -161.
What is the Sum of Factors of 161?
Factors of 161 are 1, 7, 23, 161 and, the sum of all these factors is 1 + 7 + 23 + 161 = 192
What are the Pair Factors of 161?
The pair factors of 161 are (1, 161), (7, 23).
What is the Greatest Common Factor of 161 and 100?
The factors of 161 are 1, 7, 23, 161 and the factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. 161 and 100 have only one common factor which is 1. This implies that 161 and 100 are co-prime.
Hence, the Greatest Common Factor (GCF) of 161 and 100 is 1.
What are the Common Factors of 161 and 128?
Since, the factors of 161 are 1, 7, 23, 161 and factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. Hence, 161 and 128 have only one common factor which is 1. Therefore, 161 and 128 are co-prime.
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