Factors of 141
Factors of 141 are the list of integers that can be evenly divided into 141. There are 4 factors of 141, which are 1, 3, 47, 141. Here, 141 is the biggest factor. The Prime Factors and Pair Factors of 141 are 3 × 47 and (1, 141), (3, 47) respectively.
- All Factors of 141: 1, 3, 47 and 141
- Negative Factors of 141: -1, -3, -47 and -141
- Prime Factors of 141: 3, 47
- Prime Factorization of 141: 31 × 471
- Sum of Factors of 141: 192
1. | What Are the Factors of 141? |
2. | Factors of 141 by Prime Factorization |
3. | Factors of 141 in Pairs |
4. | FAQs on Factors of 141 |
What are Factors of 141?
Factors of 141 are pairs of those numbers whose products result in 141. These factors are either prime numbers or composite numbers.
How to Find the Factors of 141?
To find the factors of 141, we will have to find the list of numbers that would divide 141 without leaving any remainder.
- 141/47 = 3; therefore, 47 is a factor of 141 and 3 is also a factor of 141.
- 141/141 = 1; therefore, 141 is a factor of 141 and 1 is also a factor of 141.
Similarly we can find other factors. Hence, the factors of 141 are 1, 3, 47, 141.
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- Factors of 11 - The factors of 11 are 1, 11
- Factors of 57 - The factors of 57 are 1, 3, 19, 57
- Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
Factors of 141 by Prime Factorization
The number 141 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 141. The first step is to divide the number 141 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.
- 141 ÷ 3 = 47
Further dividing 47 by 3 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 141 can be written as 31 × 471 where 3, 47 are prime.
Factors of 141 in Pairs
Pair factors of 141 are the pairs of numbers that when multiplied give the product 141. The factors of 141 in pairs are:
- 1 × 141 = (1, 141)
- 3 × 47 = (3, 47)
Negative pair factors of 141 are:
- -1 × -141 = (-1, -141)
- -3 × -47 = (-3, -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 141 Solved Examples
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Example 1: How many factors are there for 141?
Solution:
The factors of 141 are 1, 3, 47, 141. Therefore, 141 has 4 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 141 and 125.
Solution:
The factors of 141 are 1, 3, 47, 141 and factors of 125 are 1, 5, 25, 125.
Therefore, the LCM of 141 and 125 is 17625 and Greatest Common Divisor (GCD) of 141 and 125 is 1. -
Example 3: Find if 3, 13 and 47 are factors of 141.
Solution:
When we divide 141 by 13 it leaves a remainder. Therefore, the number 13 is not a factor of 141. All numbers except 13 are factors of 141.
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Example 4: Find the product of all the prime factors of 141.
Solution:
Since, the prime factors of 141 are 3, 47. Therefore, the product of prime factors = 3 × 47 = 141.
FAQs on Factors of 141
What are the Factors of 141?
The factors of 141 are 1, 3, 47, 141 and its negative factors are -1, -3, -47, -141.
What is the Sum of the Factors of 141?
Factors of 141 are 1, 3, 47, 141 and, the sum of all these factors is 1 + 3 + 47 + 141 = 192
What Numbers are the Prime Factors of 141?
The prime factors of 141 are 3, 47.
What is the Greatest Common Factor of 141 and 58?
The factors of 141 are 1, 3, 47, 141 and the factors of 58 are 1, 2, 29, 58. 141 and 58 have only one common factor which is 1. This implies that 141 and 58 are co-prime.
Hence, the Greatest Common Factor (GCF) of 141 and 58 is 1.
How Many Factors of 141 are also common to the Factors of 122?
Since, the factors of 141 are 1, 3, 47, 141 and factors of 122 are 1, 2, 61, 122. Hence, 141 and 122 have only one common factor which is 1. Therefore, 141 and 122 are co-prime.
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