Factors of 237
Factors of 237 are integers that can be divided evenly into 237. There are 4 factors of 237, which are 1, 3, 79, 237. Here, 237 is the biggest factor. The Prime Factors and Pair Factors of 237 are 3 × 79 and (1, 237), (3, 79) respectively.
- All Factors of 237: 1, 3, 79 and 237
- Negative Factors of 237: -1, -3, -79 and -237
- Prime Factors of 237: 3, 79
- Prime Factorization of 237: 31 × 791
- Sum of Factors of 237: 320
1. | What Are the Factors of 237? |
2. | Factors of 237 by Prime Factorization |
3. | Factors of 237 in Pairs |
4. | FAQs on Factors of 237 |
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What are Factors of 237?
Factors of 237 are pairs of those numbers whose products result in 237. These factors are either prime numbers or composite numbers.
How to Find the Factors of 237?
To find the factors of 237, we will have to find the list of numbers that would divide 237 without leaving any remainder.
- 237/79 = 3; therefore, 79 is a factor of 237 and 3 is also a factor of 237.
- 237/1 = 237; therefore, 1 is a factor of 237 and 237 is also a factor of 237.
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Factors of 237 by Prime Factorization
- 237 ÷ 3 = 79
Further dividing 79 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 79 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 237 can be written as 31 × 791 where 3, 79 are prime.
Factors of 237 in Pairs
Pair factors of 237 are the pairs of numbers that when multiplied give the product 237. The factors of 237 in pairs are:
- 1 × 237 = (1, 237)
- 3 × 79 = (3, 79)
Negative pair factors of 237 are:
- -1 × -237 = (-1, -237)
- -3 × -79 = (-3, -79)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 237 Solved Examples
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Example 1: How many factors are there for 237?
Solution:
The factors of 237 are 1, 3, 79, 237. Therefore, 237 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 237 and 151.
Solution:
The factors of 237 are 1, 3, 79, 237 and factors of 151 are 1, 151.
Therefore, the Least Common Multiple (LCM) of 237 and 151 is 35787 and Greatest Common Factor (GCF) of 237 and 151 is 1. -
Example 3: Find if 3, 84 and 237 are factors of 237.
Solution:
When we divide 237 by 84 it leaves a remainder. Therefore, the number 84 is not a factor of 237. All numbers except 84 are factors of 237.
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Example 4: Find the product of all the prime factors of 237.
Solution:
Since, the prime factors of 237 are 3, 79. Therefore, the product of prime factors = 3 × 79 = 237.
FAQs on Factors of 237
What are the Factors of 237?
The factors of 237 are 1, 3, 79, 237 and its negative factors are -1, -3, -79, -237.
What is the Sum of all the Factors of 237?
All the Factors of 237 are 1, 3, 79, 237 and therefore the sum of all these factors is 1 + 3 + 79 + 237 = 320
What numbers are the Pair Factors of 237?
The pair factors of 237 are (1, 237), (3, 79).
What is the Greatest Common Factor of 237 and 157?
The factors of 237 are 1, 3, 79, 237 and the factors of 157 are 1, 157. 237 and 157 have only one common factor which is 1. This implies that 237 and 157 are co-prime.
Hence, the Greatest Common Factor (GCF) of 237 and 157 is 1.
How Many Factors of 199 are also common to the Factors of 237?
Since, the factors of 237 are 1, 3, 79, 237 and factors of 199 are 1, 199. Hence, 237 and 199 have only one common factor which is 1. Therefore, 237 and 199 are co-prime.
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