Factors of 207
Factors of 207 are integers that can be divided evenly into 207. There are overall 6 factors of 207 among which 207 is the biggest factor and its positive factors are 1, 3, 9, 23, 69, 207. The Prime Factors of 207 are 3 × 23 and its Factors in Pairs are (1, 207), (3, 69), (9, 23).
- All Factors of 207: 1, 3, 9, 23, 69 and 207
- Negative Factors of 207: -1, -3, -9, -23, -69 and -207
- Prime Factors of 207: 3, 23
- Prime Factorization of 207: 32 × 231
- Sum of Factors of 207: 312
1. | What Are the Factors of 207? |
2. | Factors of 207 by Prime Factorization |
3. | Factors of 207 in Pairs |
4. | FAQs on Factors of 207 |
![Factors of 207](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-207.png)
What are Factors of 207?
Factors of 207 are pairs of those numbers whose products result in 207. These factors are either prime numbers or composite numbers.
How to Find the Factors of 207?
To find the factors of 207, we will have to find the list of numbers that would divide 207 without leaving any remainder.
- 207/23 = 9; therefore, 23 is a factor of 207 and 9 is also a factor of 207.
- 207/3 = 69; therefore, 3 is a factor of 207 and 69 is also a factor of 207.
☛ Also Check:
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- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
Factors of 207 by Prime Factorization
- 207 ÷ 3 = 69
- 69 ÷ 3 = 23
Further dividing 23 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 23 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 207 can be written as 32 × 231 where 3, 23 are prime.
Factors of 207 in Pairs
Pair factors of 207 are the pairs of numbers that when multiplied give the product 207. The factors of 207 in pairs are:
- 1 × 207 = (1, 207)
- 3 × 69 = (3, 69)
- 9 × 23 = (9, 23)
Negative pair factors of 207 are:
- -1 × -207 = (-1, -207)
- -3 × -69 = (-3, -69)
- -9 × -23 = (-9, -23)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 207 Solved Examples
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Example 1: How many factors are there for 207?
Solution:
The factors of 207 are 1, 3, 9, 23, 69, 207. Therefore, 207 has 6 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 207 and 20.
Solution:
The factors of 207 are 1, 3, 9, 23, 69, 207 and factors of 20 are 1, 2, 4, 5, 10, 20.
Therefore, the Least Common Multiple (LCM) of 207 and 20 is 4140 and Greatest Common Factor (GCF) of 207 and 20 is 1. -
Example 3: Find if 3, 9, 53 and 69 are factors of 207.
Solution:
When we divide 207 by 53 it leaves a remainder. Therefore, the number 53 is not a factor of 207. All numbers except 53 are factors of 207.
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Example 4: Find the product of all the prime factors of 207.
Solution:
Since, the prime factors of 207 are 3, 23. Therefore, the product of prime factors = 3 × 23 = 69.
FAQs on Factors of 207
What are the Factors of 207?
The factors of 207 are 1, 3, 9, 23, 69, 207 and its negative factors are -1, -3, -9, -23, -69, -207.
What is the Sum of the Factors of 207?
All the Factors of 207 are 1, 3, 9, 23, 69, 207 and therefore the sum of all these factors is 1 + 3 + 9 + 23 + 69 + 207 = 312
What are the Prime Factors of 207?
The prime factors of 207 are 3, 23.
What is the Greatest Common Factor of 207 and 38?
The factors of 207 are 1, 3, 9, 23, 69, 207 and the factors of 38 are 1, 2, 19, 38. 207 and 38 have only one common factor which is 1. This implies that 207 and 38 are co-prime.
Hence, the Greatest Common Factor (GCF) of 207 and 38 is 1.
How Many Factors of 207 are also Factors of 92?
Since, the factors of 207 are 1, 3, 9, 23, 69, 207 and the factors of 92 are 1, 2, 4, 23, 46, 92.
Hence, [1, 23] are the common factors of 207 and 92.
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