Factors of 212
Factors of 212 are the list of integers that we can split evenly into 212. There are overall 6 factors of 212 among which 212 is the biggest factor and its positive factors are 1, 2, 4, 53, 106, 212. The Pair Factors of 212 are (1, 212), (2, 106), (4, 53) and its Prime Factors are 2 × 53.
- All Factors of 212: 1, 2, 4, 53, 106 and 212
- Negative Factors of 212: -1, -2, -4, -53, -106 and -212
- Prime Factors of 212: 2, 53
- Prime Factorization of 212: 22 × 531
- Sum of Factors of 212: 378
1. | What Are the Factors of 212? |
2. | Factors of 212 by Prime Factorization |
3. | Factors of 212 in Pairs |
4. | FAQs on Factors of 212 |
What are Factors of 212?
Factors of 212 are pairs of those numbers whose products result in 212. These factors are either prime numbers or composite numbers.
How to Find the Factors of 212?
To find the factors of 212, we will have to find the list of numbers that would divide 212 without leaving any remainder.
- 212/53 = 4; therefore, 53 is a factor of 212 and 4 is also a factor of 212.
- 212/106 = 2; therefore, 106 is a factor of 212 and 2 is also a factor of 212.
☛ Also Check:
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- 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 81 - The factors of 81 are 1, 3, 9, 27, 81
- Factors of 37 - The factors of 37 are 1, 37
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 212 by Prime Factorization
- 212 ÷ 2 = 106
- 106 ÷ 2 = 53
Further dividing 53 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 53 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 212 can be written as 22 × 531 where 2, 53 are prime.
Factors of 212 in Pairs
Pair factors of 212 are the pairs of numbers that when multiplied give the product 212. The factors of 212 in pairs are:
- 1 × 212 = (1, 212)
- 2 × 106 = (2, 106)
- 4 × 53 = (4, 53)
Negative pair factors of 212 are:
- -1 × -212 = (-1, -212)
- -2 × -106 = (-2, -106)
- -4 × -53 = (-4, -53)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 212 Solved Examples
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Example 1: How many factors are there for 212?
Solution:
The factors of 212 are 1, 2, 4, 53, 106, 212. Therefore, 212 has 6 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 212 and 205.
Solution:
The factors of 212 are 1, 2, 4, 53, 106, 212 and factors of 205 are 1, 5, 41, 205.
Therefore, the LCM of 212 and 205 is 43460 and Greatest Common Divisor (GCD) of 212 and 205 is 1. -
Example 3: Find if 1, 53, 121 and 212 are factors of 212.
Solution:
When we divide 212 by 121 it leaves a remainder. Therefore, the number 121 is not a factor of 212. All numbers except 121 are factors of 212.
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Example 4: Find the product of all the prime factors of 212.
Solution:
Since, the prime factors of 212 are 2, 53. Therefore, the product of prime factors = 2 × 53 = 106.
FAQs on Factors of 212
What are the Factors of 212?
The factors of 212 are 1, 2, 4, 53, 106, 212 and its negative factors are -1, -2, -4, -53, -106, -212.
What is the Sum of the Factors of 212?
Factors of 212 are 1, 2, 4, 53, 106, 212 and, the sum of all these factors is 1 + 2 + 4 + 53 + 106 + 212 = 378
What numbers are the Pair Factors of 212?
The pair factors of 212 are (1, 212), (2, 106), (4, 53).
What is the Greatest Common Factor of 212 and 159?
The factors of 212 and 159 are 1, 2, 4, 53, 106, 212 and 1, 3, 53, 159 respectively.
Common factors of 212 and 159 are [1, 53].
Hence, the Greatest Common Factor (GCF) of 212 and 159 is 53.
How Many Factors of 95 are also common to the Factors of 212?
Since, the factors of 212 are 1, 2, 4, 53, 106, 212 and factors of 95 are 1, 5, 19, 95. Hence, 212 and 95 have only one common factor which is 1. Therefore, 212 and 95 are co-prime.
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