Factors of 222
Factors of 222 are the list of integers that can be evenly divided into 222. It has a total of 8 factors of which 222 is the biggest factor and the positive factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222. The Pair Factors of 222 are (1, 222), (2, 111), (3, 74), (6, 37) and its Prime Factors are 2 × 3 × 37.
- All Factors of 222: 1, 2, 3, 6, 37, 74, 111 and 222
- Negative Factors of 222: -1, -2, -3, -6, -37, -74, -111 and -222
- Prime Factors of 222: 2, 3, 37
- Prime Factorization of 222: 21 × 31 × 371
- Sum of Factors of 222: 456
1. | What Are the Factors of 222? |
2. | Factors of 222 by Prime Factorization |
3. | Factors of 222 in Pairs |
4. | FAQs on Factors of 222 |
What are Factors of 222?
Factors of 222 are pairs of those numbers whose products result in 222. These factors are either prime numbers or composite numbers.
How to Find the Factors of 222?
To find the factors of 222, we will have to find the list of numbers that would divide 222 without leaving any remainder.
- 222/6 = 37; therefore, 6 is a factor of 222 and 37 is also a factor of 222.
- 222/111 = 2; therefore, 111 is a factor of 222 and 2 is also a factor of 222.
☛ Also Check:
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- Factors of 13 - The factors of 13 are 1, 13
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Factors of 222 by Prime Factorization
- 222 ÷ 2 = 111
Further dividing 111 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 111 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 222 can be written as 21 × 31 × 371 where 2, 3, 37 are prime.
Factors of 222 in Pairs
Pair factors of 222 are the pairs of numbers that when multiplied give the product 222. The factors of 222 in pairs are:
- 1 × 222 = (1, 222)
- 2 × 111 = (2, 111)
- 3 × 74 = (3, 74)
- 6 × 37 = (6, 37)
Negative pair factors of 222 are:
- -1 × -222 = (-1, -222)
- -2 × -111 = (-2, -111)
- -3 × -74 = (-3, -74)
- -6 × -37 = (-6, -37)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 222 Solved Examples
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Example 1: How many factors are there for 222?
Solution:
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222. Therefore, 222 has 8 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 222 and 176.
Solution:
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222 and factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176.
Therefore, the Lowest Common Multiple (LCM) of 222 and 176 is 19536 and Greatest Common Divisor (GCD) of 222 and 176 is 2. -
Example 3: Find if 1, 6, 11, 111 and 222 are factors of 222.
Solution:
When we divide 222 by 11 it leaves a remainder. Therefore, the number 11 is not a factor of 222. All numbers except 11 are factors of 222.
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Example 4: Find the product of all the prime factors of 222.
Solution:
Since, the prime factors of 222 are 2, 3, 37. Therefore, the product of prime factors = 2 × 3 × 37 = 222.
FAQs on Factors of 222
What are the Factors of 222?
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222 and its negative factors are -1, -2, -3, -6, -37, -74, -111, -222.
What is the Sum of all Factors of 222?
Sum of all factors of 222 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (371 + 1 - 1)/(37 - 1) = 456
What are Pair Factors of 222?
The pair factors of 222 are (1, 222), (2, 111), (3, 74), (6, 37).
What is the Greatest Common Factor of 222 and 53?
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222 and the factors of 53 are 1, 53. 222 and 53 have only one common factor which is 1. This implies that 222 and 53 are co-prime.
Hence, the Greatest Common Factor (GCF) of 222 and 53 is 1.
How Many Factors of 222 are also common to the Factors of 132?
Since, the factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222 and the factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132.
Hence, [1, 2, 3, 6] are the common factors of 222 and 132.
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