Factors of 6561
Factors of 6561 are integers that can be divided evenly into 6561. There are overall 9 factors of 6561 among which 6561 is the biggest factor and 1, 3, 9, 27, 81, 243, 729, 2187, 6561 are positive factors. The Prime Factors and Pair Factors of 6561 are 3 and (1, 6561), (3, 2187), (9, 729), (27, 243), (81, 81) respectively.
- All Factors of 6561: 1, 3, 9, 27, 81, 243, 729, 2187 and 6561
- Negative Factors of 6561: -1, -3, -9, -27, -81, -243, -729, -2187 and -6561
- Prime Factors of 6561: 3
- Prime Factorization of 6561: 38
- Sum of Factors of 6561: 9841
1. | What Are the Factors of 6561? |
2. | Factors of 6561 by Prime Factorization |
3. | Factors of 6561 in Pairs |
4. | FAQs on Factors of 6561 |
What are Factors of 6561?
Factors of 6561 are pairs of those numbers whose products result in 6561. These factors are either prime numbers or composite numbers.
How to Find the Factors of 6561?
To find the factors of 6561, we will have to find the list of numbers that would divide 6561 without leaving any remainder.
- 6561/243 = 27; therefore, 243 is a factor of 6561 and 27 is also a factor of 6561.
- 6561/729 = 9; therefore, 729 is a factor of 6561 and 9 is also a factor of 6561.
☛ Also Check:
- Factors of 26 - The factors of 26 are 1, 2, 13, 26
- Factors of 4 - The factors of 4 are 1, 2, 4
- Factors of 65 - The factors of 65 are 1, 5, 13, 65
- Factors of 41 - The factors of 41 are 1, 41
- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
Factors of 6561 by Prime Factorization
- 6561 ÷ 3 = 2187
- 2187 ÷ 3 = 729
- 729 ÷ 3 = 243
- 243 ÷ 3 = 81
- 81 ÷ 3 = 27
- 27 ÷ 3 = 9
- 9 ÷ 3 = 3
- 3 ÷ 3 = 1
Further dividing 1 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 1 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.
Since, we can't divide any further in this case so we stop.
So, the prime factorization of 6561 is 38.
Factors of 6561 in Pairs
Pair factors of 6561 are the pairs of numbers that when multiplied give the product 6561. The factors of 6561 in pairs are:
- 1 × 6561 = (1, 6561)
- 3 × 2187 = (3, 2187)
- 9 × 729 = (9, 729)
- 27 × 243 = (27, 243)
- 81 × 81 = (81, 81)
Negative pair factors of 6561 are:
- -1 × -6561 = (-1, -6561)
- -3 × -2187 = (-3, -2187)
- -9 × -729 = (-9, -729)
- -27 × -243 = (-27, -243)
- -81 × -81 = (-81, -81)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 6561 Solved Examples
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Example 1: How many factors are there for 6561?
Solution:
The factors of 6561 are too many, therefore if we can find the prime factorization of 6561, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 6561 = 38
Therefore, the total number of factors are (8 + 1) = 9 -
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 6561 and 1490.
Solution:
The factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561 and factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490.
Therefore, the Least Common Multiple (LCM) of 6561 and 1490 is 9775890 and Greatest Common Factor (GCF) of 6561 and 1490 is 1. -
Example 3: Find if 1, 3, 9, 27 and 1934 are factors of 6561.
Solution:
When we divide 6561 by 1934 it leaves a remainder. Therefore, the number 1934 is not a factor of 6561. All numbers except 1934 are factors of 6561.
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Example 4: Find the product of all the prime factors of 6561.
Solution:
Since, the prime factor of 6561 is 3. Therefore, the product of prime factors = 3.
FAQs on Factors of 6561
What are the Factors of 6561?
The factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561 and its negative factors are -1, -3, -9, -27, -81, -243, -729, -2187, -6561.
What is the Sum of all the Factors of 6561?
Sum of all factors of 6561 = (38 + 1 - 1)/(3 - 1) = 9841
What Numbers are the Prime Factors of 6561?
The prime factor of 6561 is 3.
What is the Greatest Common Factor of 6561 and 6031?
The factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561 and the factors of 6031 are 1, 37, 163, 6031. 6561 and 6031 have only one common factor which is 1. This implies that 6561 and 6031 are co-prime.
Hence, the Greatest Common Factor (GCF) of 6561 and 6031 is 1.
How Many Factors of 6561 are also common to the Factors of 2525?
Since, the factors of 6561 are 1, 3, 9, 27, 81, 243, 729, 2187, 6561 and factors of 2525 are 1, 5, 25, 101, 505, 2525. Hence, 6561 and 2525 have only one common factor which is 1. Therefore, 6561 and 2525 are co-prime.
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