Factors of 236
Factors of 236 are the list of integers that can be evenly divided into 236. There are overall 6 factors of 236 among which 236 is the biggest factor and 1, 2, 4, 59, 118, 236 are positive factors. The sum of all factors of 236 is 420. Its Prime Factors are 2 × 59 and (1, 236), (2, 118), (4, 59) are Pair Factors.
- All Factors of 236: 1, 2, 4, 59, 118 and 236
- Negative Factors of 236: -1, -2, -4, -59, -118 and -236
- Prime Factors of 236: 2, 59
- Prime Factorization of 236: 22 × 591
- Sum of Factors of 236: 420
1. | What Are the Factors of 236? |
2. | Factors of 236 by Prime Factorization |
3. | Factors of 236 in Pairs |
4. | FAQs on Factors of 236 |
![Factors of 236](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-236.png)
What are Factors of 236?
Factors of 236 are pairs of those numbers whose products result in 236. These factors are either prime numbers or composite numbers.
How to Find the Factors of 236?
To find the factors of 236, we will have to find the list of numbers that would divide 236 without leaving any remainder.
- 236/118 = 2; therefore, 118 is a factor of 236 and 2 is also a factor of 236.
- 236/59 = 4; therefore, 59 is a factor of 236 and 4 is also a factor of 236.
☛ Also Check:
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- Factors of 23 - The factors of 23 are 1, 23
- Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
Factors of 236 by Prime Factorization
- 236 ÷ 2 = 118
- 118 ÷ 2 = 59
Further dividing 59 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 59 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 236 can be written as 22 × 591 where 2, 59 are prime.
Factors of 236 in Pairs
Pair factors of 236 are the pairs of numbers that when multiplied give the product 236. The factors of 236 in pairs are:
- 1 × 236 = (1, 236)
- 2 × 118 = (2, 118)
- 4 × 59 = (4, 59)
Negative pair factors of 236 are:
- -1 × -236 = (-1, -236)
- -2 × -118 = (-2, -118)
- -4 × -59 = (-4, -59)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 236 Solved Examples
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Example 1: How many factors are there for 236?
Solution:
The factors of 236 are 1, 2, 4, 59, 118, 236. Therefore, 236 has 6 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 236 and 119.
Solution:
The factors of 236 are 1, 2, 4, 59, 118, 236 and factors of 119 are 1, 7, 17, 119.
Therefore, the Least Common Multiple (LCM) of 236 and 119 is 28084 and Greatest Common Factor (GCF) of 236 and 119 is 1. -
Example 3: Find if 1, 4, 59 and 167 are factors of 236.
Solution:
When we divide 236 by 167 it leaves a remainder. Therefore, the number 167 is not a factor of 236. All numbers except 167 are factors of 236.
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Example 4: Find the product of all the prime factors of 236.
Solution:
Since, the prime factors of 236 are 2, 59. Therefore, the product of prime factors = 2 × 59 = 118.
FAQs on Factors of 236
What are the Factors of 236?
The factors of 236 are 1, 2, 4, 59, 118, 236 and its negative factors are -1, -2, -4, -59, -118, -236.
What is the Sum of the Factors of 236?
Factors of 236 are 1, 2, 4, 59, 118, 236 and, the sum of all these factors is 1 + 2 + 4 + 59 + 118 + 236 = 420
What numbers are the Pair Factors of 236?
The pair factors of 236 are (1, 236), (2, 118), (4, 59).
What is the Greatest Common Factor of 236 and 23?
The factors of 236 are 1, 2, 4, 59, 118, 236 and the factors of 23 are 1, 23. 236 and 23 have only one common factor which is 1. This implies that 236 and 23 are co-prime.
Hence, the Greatest Common Factor (GCF) of 236 and 23 is 1.
How Many Factors of 124 are also common to the Factors of 236?
Since, the factors of 236 are 1, 2, 4, 59, 118, 236 and the factors of 124 are 1, 2, 4, 31, 62, 124.
Hence, [1, 2, 4] are the common factors of 236 and 124.
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