Factors of 188
Factors of 188 are numbers that, when multiplied in pairs give the product as 188. There are 6 factors of 188, which are 1, 2, 4, 47, 94, 188. Here, 188 is the biggest factor. The sum of all factors of 188 is 336 and its factors in Pairs are (1, 188), (2, 94), (4, 47).
- All Factors of 188: 1, 2, 4, 47, 94 and 188
- Negative Factors of 188: -1, -2, -4, -47, -94 and -188
- Prime Factors of 188: 2, 47
- Prime Factorization of 188: 22 × 471
- Sum of Factors of 188: 336
1. | What Are the Factors of 188? |
2. | Factors of 188 by Prime Factorization |
3. | Factors of 188 in Pairs |
4. | FAQs on Factors of 188 |
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What are Factors of 188?
Factors of 188 are pairs of those numbers whose products result in 188. These factors are either prime numbers or composite numbers.
How to Find the Factors of 188?
To find the factors of 188, we will have to find the list of numbers that would divide 188 without leaving any remainder.
- 188/47 = 4; therefore, 47 is a factor of 188 and 4 is also a factor of 188.
- 188/94 = 2; therefore, 94 is a factor of 188 and 2 is also a factor of 188.
☛ Also Check:
- Factors of 11 - The factors of 11 are 1, 11
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
- Factors of 49 - The factors of 49 are 1, 7, 49
Factors of 188 by Prime Factorization
- 188 ÷ 2 = 94
- 94 ÷ 2 = 47
Further dividing 47 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 47 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 188 can be written as 22 × 471 where 2, 47 are prime.
Factors of 188 in Pairs
Pair factors of 188 are the pairs of numbers that when multiplied give the product 188. The factors of 188 in pairs are:
- 1 × 188 = (1, 188)
- 2 × 94 = (2, 94)
- 4 × 47 = (4, 47)
Negative pair factors of 188 are:
- -1 × -188 = (-1, -188)
- -2 × -94 = (-2, -94)
- -4 × -47 = (-4, -47)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 188 Solved Examples
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Example 1: How many factors are there for 188?
Solution:
The factors of 188 are 1, 2, 4, 47, 94, 188. Therefore, 188 has 6 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 188 and 87.
Solution:
The factors of 188 are 1, 2, 4, 47, 94, 188 and factors of 87 are 1, 3, 29, 87.
Therefore, the Lowest Common Multiple (LCM) of 188 and 87 is 16356 and Greatest Common Divisor (GCD) of 188 and 87 is 1. -
Example 3: Find if 2, 4, 115 and 188 are factors of 188.
Solution:
When we divide 188 by 115 it leaves a remainder. Therefore, the number 115 is not a factor of 188. All numbers except 115 are factors of 188.
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Example 4: Find the product of all the prime factors of 188.
Solution:
Since, the prime factors of 188 are 2, 47. Therefore, the product of prime factors = 2 × 47 = 94.
FAQs on Factors of 188
What are the Factors of 188?
The factors of 188 are 1, 2, 4, 47, 94, 188 and its negative factors are -1, -2, -4, -47, -94, -188.
What is the Sum of the Factors of 188?
Since, all factors of 188 are 1, 2, 4, 47, 94, 188 therefore, the sum of its factors is 1 + 2 + 4 + 47 + 94 + 188 = 336.
What are the Prime Factors of 188?
The prime factors of 188 are 2, 47.
What is the Greatest Common Factor of 188 and 152?
The factors of 188 and 152 are 1, 2, 4, 47, 94, 188 and 1, 2, 4, 8, 19, 38, 76, 152 respectively.
Common factors of 188 and 152 are [1, 2, 4].
Hence, the Greatest Common Factor (GCF) of 188 and 152 is 4.
How Many Factors of 188 are also Factors of 168?
Since, the factors of 188 are 1, 2, 4, 47, 94, 188 and the factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
Hence, [1, 2, 4] are the common factors of 188 and 168.
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