Factors of 195
Factors of 195 are numbers that, when multiplied in pairs give the product as 195. It has a total of 8 factors of which 195 is the biggest factor and the positive factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195. The Pair Factors of 195 are (1, 195), (3, 65), (5, 39), (13, 15) and its Prime Factors are 3 × 5 × 13.
- All Factors of 195: 1, 3, 5, 13, 15, 39, 65 and 195
- Negative Factors of 195: -1, -3, -5, -13, -15, -39, -65 and -195
- Prime Factors of 195: 3, 5, 13
- Prime Factorization of 195: 31 × 51 × 131
- Sum of Factors of 195: 336
1. | What Are the Factors of 195? |
2. | Factors of 195 by Prime Factorization |
3. | Factors of 195 in Pairs |
4. | FAQs on Factors of 195 |
What are Factors of 195?
Factors of 195 are pairs of those numbers whose products result in 195. These factors are either prime numbers or composite numbers.
How to Find the Factors of 195?
To find the factors of 195, we will have to find the list of numbers that would divide 195 without leaving any remainder.
- 195/3 = 65; therefore, 3 is a factor of 195 and 65 is also a factor of 195.
- 195/5 = 39; therefore, 5 is a factor of 195 and 39 is also a factor of 195.
☛ Also Check:
- Factors of 7 - The factors of 7 are 1, 7
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
Factors of 195 by Prime Factorization
- 195 ÷ 3 = 65
Further dividing 65 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 65 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 195 can be written as 31 × 51 × 131 where 3, 5, 13 are prime.
Factors of 195 in Pairs
Pair factors of 195 are the pairs of numbers that when multiplied give the product 195. The factors of 195 in pairs are:
- 1 × 195 = (1, 195)
- 3 × 65 = (3, 65)
- 5 × 39 = (5, 39)
- 13 × 15 = (13, 15)
Negative pair factors of 195 are:
- -1 × -195 = (-1, -195)
- -3 × -65 = (-3, -65)
- -5 × -39 = (-5, -39)
- -13 × -15 = (-13, -15)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 195 Solved Examples
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Example 1: How many factors are there for 195?
Solution:
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195. Therefore, 195 has 8 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 195 and 146.
Solution:
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195 and factors of 146 are 1, 2, 73, 146.
Therefore, the LCM of 195 and 146 is 28470 and Greatest Common Factor (GCF) of 195 and 146 is 1. -
Example 3: Find if 13, 15, 39, 159 and 195 are factors of 195.
Solution:
When we divide 195 by 159 it leaves a remainder. Therefore, the number 159 is not a factor of 195. All numbers except 159 are factors of 195.
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Example 4: Find the product of all the prime factors of 195.
Solution:
Since, the prime factors of 195 are 3, 5, 13. Therefore, the product of prime factors = 3 × 5 × 13 = 195.
FAQs on Factors of 195
What are the Factors of 195?
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195 and its negative factors are -1, -3, -5, -13, -15, -39, -65, -195.
What is the Sum of all the Factors of 195?
Sum of all factors of 195 = (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) × (131 + 1 - 1)/(13 - 1) = 336
What Numbers are the Prime Factors of 195?
The prime factors of 195 are 3, 5, 13.
What is the Greatest Common Factor of 195 and 189?
The factors of 195 and 189 are 1, 3, 5, 13, 15, 39, 65, 195 and 1, 3, 7, 9, 21, 27, 63, 189 respectively.
Common factors of 195 and 189 are [1, 3].
Hence, the Greatest Common Factor (GCF) of 195 and 189 is 3.
What are the Common Factors of 195 and 87?
Since, the factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195 and the factors of 87 are 1, 3, 29, 87.
Hence, [1, 3] are the common factors of 195 and 87.
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