Factors of 235
Factors of 235 are the list of integers that we can split evenly into 235. There are overall 4 factors of 235 among which 235 is the biggest factor and its positive factors are 1, 5, 47, 235. The Pair Factors of 235 are (1, 235), (5, 47) and its Prime Factors are 5 × 47.
- All Factors of 235: 1, 5, 47 and 235
- Negative Factors of 235: -1, -5, -47 and -235
- Prime Factors of 235: 5, 47
- Prime Factorization of 235: 51 × 471
- Sum of Factors of 235: 288
1. | What Are the Factors of 235? |
2. | Factors of 235 by Prime Factorization |
3. | Factors of 235 in Pairs |
4. | FAQs on Factors of 235 |
What are Factors of 235?
Factors of 235 are pairs of those numbers whose products result in 235. These factors are either prime numbers or composite numbers.
How to Find the Factors of 235?
To find the factors of 235, we will have to find the list of numbers that would divide 235 without leaving any remainder.
- 235/47 = 5; therefore, 47 is a factor of 235 and 5 is also a factor of 235.
- 235/235 = 1; therefore, 235 is a factor of 235 and 1 is also a factor of 235.
☛ Also Check:
- Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
- Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
- Factors of 11 - The factors of 11 are 1, 11
Factors of 235 by Prime Factorization
- 235 ÷ 5 = 47
Further dividing 47 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 47 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 235 can be written as 51 × 471 where 5, 47 are prime.
Factors of 235 in Pairs
Pair factors of 235 are the pairs of numbers that when multiplied give the product 235. The factors of 235 in pairs are:
- 1 × 235 = (1, 235)
- 5 × 47 = (5, 47)
Negative pair factors of 235 are:
- -1 × -235 = (-1, -235)
- -5 × -47 = (-5, -47)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 235 Solved Examples
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Example 1: How many factors are there for 235?
Solution:
The factors of 235 are 1, 5, 47, 235. Therefore, 235 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 235 and 168.
Solution:
The factors of 235 are 1, 5, 47, 235 and factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168.
Therefore, the Lowest Common Multiple (LCM) of 235 and 168 is 39480 and Highest Common Factor (HCF) of 235 and 168 is 1. -
Example 3: Find if 1, 47 and 189 are factors of 235.
Solution:
When we divide 235 by 189 it leaves a remainder. Therefore, the number 189 is not a factor of 235. All numbers except 189 are factors of 235.
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Example 4: Find the product of all the prime factors of 235.
Solution:
Since, the prime factors of 235 are 5, 47. Therefore, the product of prime factors = 5 × 47 = 235.
FAQs on Factors of 235
What are the Factors of 235?
The factors of 235 are 1, 5, 47, 235 and its negative factors are -1, -5, -47, -235.
What is the Sum of all the Factors of 235?
Since, all factors of 235 are 1, 5, 47, 235 therefore, the sum of its factors is 1 + 5 + 47 + 235 = 288.
What are Pair Factors of 235?
The pair factors of 235 are (1, 235), (5, 47).
What is the Greatest Common Factor of 235 and 133?
The factors of 235 are 1, 5, 47, 235 and the factors of 133 are 1, 7, 19, 133. 235 and 133 have only one common factor which is 1. This implies that 235 and 133 are co-prime.
Hence, the Greatest Common Factor (GCF) of 235 and 133 is 1.
What are the Common Factors of 235 and 22?
Since, the factors of 235 are 1, 5, 47, 235 and factors of 22 are 1, 2, 11, 22. Hence, 235 and 22 have only one common factor which is 1. Therefore, 235 and 22 are co-prime.
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