Factors of 221
Factors of 221 are integers that can be divided evenly into 221. There are overall 4 factors of 221 among which 221 is the biggest factor and its positive factors are 1, 13, 17, 221. The sum of all factors of 221 is 252 and its factors in Pairs are (1, 221), (13, 17).
- All Factors of 221: 1, 13, 17 and 221
- Negative Factors of 221: -1, -13, -17 and -221
- Prime Factors of 221: 13, 17
- Prime Factorization of 221: 131 × 171
- Sum of Factors of 221: 252
1. | What Are the Factors of 221? |
2. | Factors of 221 by Prime Factorization |
3. | Factors of 221 in Pairs |
4. | FAQs on Factors of 221 |
What are Factors of 221?
Factors of 221 are pairs of those numbers whose products result in 221. These factors are either prime numbers or composite numbers.
How to Find the Factors of 221?
To find the factors of 221, we will have to find the list of numbers that would divide 221 without leaving any remainder.
- 221/13 = 17; therefore, 13 is a factor of 221 and 17 is also a factor of 221.
- 221/1 = 221; therefore, 1 is a factor of 221 and 221 is also a factor of 221.
☛ Also Check:
- Factors of 11 - The factors of 11 are 1, 11
- Factors of 34 - The factors of 34 are 1, 2, 17, 34
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
- Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
- Factors of 49 - The factors of 49 are 1, 7, 49
Factors of 221 by Prime Factorization
- 221 ÷ 13 = 17
Further dividing 17 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 17 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 221 can be written as 131 × 171 where 13, 17 are prime.
Factors of 221 in Pairs
Pair factors of 221 are the pairs of numbers that when multiplied give the product 221. The factors of 221 in pairs are:
- 1 × 221 = (1, 221)
- 13 × 17 = (13, 17)
Negative pair factors of 221 are:
- -1 × -221 = (-1, -221)
- -13 × -17 = (-13, -17)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 221 Solved Examples
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Example 1: How many factors are there for 221?
Solution:
The factors of 221 are 1, 13, 17, 221. Therefore, 221 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 221 and 56.
Solution:
The factors of 221 are 1, 13, 17, 221 and factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
Therefore, the Lowest Common Multiple (LCM) of 221 and 56 is 12376 and Greatest Common Divisor (GCD) of 221 and 56 is 1. -
Example 3: Find if 13, 17 and 110 are factors of 221.
Solution:
When we divide 221 by 110 it leaves a remainder. Therefore, the number 110 is not a factor of 221. All numbers except 110 are factors of 221.
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Example 4: Find the product of all the prime factors of 221.
Solution:
Since, the prime factors of 221 are 13, 17. Therefore, the product of prime factors = 13 × 17 = 221.
FAQs on Factors of 221
What are the Factors of 221?
The factors of 221 are 1, 13, 17, 221 and its negative factors are -1, -13, -17, -221.
What is the Sum of all the Factors of 221?
Factors of 221 are 1, 13, 17, 221 and, the sum of all these factors is 1 + 13 + 17 + 221 = 252
What are Pair Factors of 221?
The pair factors of 221 are (1, 221), (13, 17).
What is the Greatest Common Factor of 221 and 185?
The factors of 221 are 1, 13, 17, 221 and the factors of 185 are 1, 5, 37, 185. 221 and 185 have only one common factor which is 1. This implies that 221 and 185 are co-prime.
Hence, the Greatest Common Factor (GCF) of 221 and 185 is 1.
What are the Common Factors of 221 and 75?
Since, the factors of 221 are 1, 13, 17, 221 and factors of 75 are 1, 3, 5, 15, 25, 75. Hence, 221 and 75 have only one common factor which is 1. Therefore, 221 and 75 are co-prime.
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