Factors of 164
Factors of 164 are the list of integers that we can split evenly into 164. There are overall 6 factors of 164 among which 164 is the biggest factor and 1, 2, 4, 41, 82, 164 are positive factors. The sum of all factors of 164 is 294 and its factors in Pairs are (1, 164), (2, 82), (4, 41).
- All Factors of 164: 1, 2, 4, 41, 82 and 164
- Negative Factors of 164: -1, -2, -4, -41, -82 and -164
- Prime Factors of 164: 2, 41
- Prime Factorization of 164: 22 × 411
- Sum of Factors of 164: 294
1. | What Are the Factors of 164? |
2. | Factors of 164 by Prime Factorization |
3. | Factors of 164 in Pairs |
4. | FAQs on Factors of 164 |
What are Factors of 164?
Factors of 164 are pairs of those numbers whose products result in 164. These factors are either prime numbers or composite numbers.
How to Find the Factors of 164?
To find the factors of 164, we will have to find the list of numbers that would divide 164 without leaving any remainder.
- 164/41 = 4; therefore, 41 is a factor of 164 and 4 is also a factor of 164.
- 164/82 = 2; therefore, 82 is a factor of 164 and 2 is also a factor of 164.
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Factors of 164 by Prime Factorization
- 164 ÷ 2 = 82
- 82 ÷ 2 = 41
Further dividing 41 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 41 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 164 can be written as 22 × 411 where 2, 41 are prime.
Factors of 164 in Pairs
Pair factors of 164 are the pairs of numbers that when multiplied give the product 164. The factors of 164 in pairs are:
- 1 × 164 = (1, 164)
- 2 × 82 = (2, 82)
- 4 × 41 = (4, 41)
Negative pair factors of 164 are:
- -1 × -164 = (-1, -164)
- -2 × -82 = (-2, -82)
- -4 × -41 = (-4, -41)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 164 Solved Examples
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Example 1: How many factors are there for 164?
Solution:
The factors of 164 are 1, 2, 4, 41, 82, 164. Therefore, 164 has 6 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 164 and 93.
Solution:
The factors of 164 are 1, 2, 4, 41, 82, 164 and factors of 93 are 1, 3, 31, 93.
Therefore, the LCM of 164 and 93 is 15252 and Highest Common Factor (HCF) of 164 and 93 is 1. -
Example 3: Find if 2, 4, 42 and 82 are factors of 164.
Solution:
When we divide 164 by 42 it leaves a remainder. Therefore, the number 42 is not a factor of 164. All numbers except 42 are factors of 164.
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Example 4: Find the product of all the prime factors of 164.
Solution:
Since, the prime factors of 164 are 2, 41. Therefore, the product of prime factors = 2 × 41 = 82.
FAQs on Factors of 164
What are the Factors of 164?
The factors of 164 are 1, 2, 4, 41, 82, 164 and its negative factors are -1, -2, -4, -41, -82, -164.
What is the Sum of the Factors of 164?
Factors of 164 are 1, 2, 4, 41, 82, 164 and, the sum of all these factors is 1 + 2 + 4 + 41 + 82 + 164 = 294
What are Prime Factors of 164?
The prime factors of 164 are 2, 41.
What is the Greatest Common Factor of 164 and 59?
The factors of 164 are 1, 2, 4, 41, 82, 164 and the factors of 59 are 1, 59. 164 and 59 have only one common factor which is 1. This implies that 164 and 59 are co-prime.
Hence, the Greatest Common Factor (GCF) of 164 and 59 is 1.
What are the Common Factors of 164 and 156?
Since, the factors of 164 are 1, 2, 4, 41, 82, 164 and the factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156.
Hence, [1, 2, 4] are the common factors of 164 and 156.
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