Factors of 621
Factors of 621 are the list of integers that can be evenly divided into 621. It has a total of 8 factors of which 621 is the biggest factor and the positive factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621. The Prime Factors of 621 are 3 × 23 and its Factors in Pairs are (1, 621), (3, 207), (9, 69), (23, 27).
- All Factors of 621: 1, 3, 9, 23, 27, 69, 207 and 621
- Negative Factors of 621: -1, -3, -9, -23, -27, -69, -207 and -621
- Prime Factors of 621: 3, 23
- Prime Factorization of 621: 33 × 231
- Sum of Factors of 621: 960
1. | What Are the Factors of 621? |
2. | Factors of 621 by Prime Factorization |
3. | Factors of 621 in Pairs |
4. | FAQs on Factors of 621 |
![Factors of 621](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-621.png)
What are Factors of 621?
Factors of 621 are pairs of those numbers whose products result in 621. These factors are either prime numbers or composite numbers.
How to Find the Factors of 621?
To find the factors of 621, we will have to find the list of numbers that would divide 621 without leaving any remainder.
- 621/3 = 207; therefore, 3 is a factor of 621 and 207 is also a factor of 621.
- 621/69 = 9; therefore, 69 is a factor of 621 and 9 is also a factor of 621.
☛ Also Check:
- Factors of 8 - The factors of 8 are 1, 2, 4, 8
- Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
- Factors of 35 - The factors of 35 are 1, 5, 7, 35
- Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
- Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
Factors of 621 by Prime Factorization
- 621 ÷ 3 = 207
- 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 621 can be written as 33 × 231 where 3, 23 are prime.
Factors of 621 in Pairs
Pair factors of 621 are the pairs of numbers that when multiplied give the product 621. The factors of 621 in pairs are:
- 1 × 621 = (1, 621)
- 3 × 207 = (3, 207)
- 9 × 69 = (9, 69)
- 23 × 27 = (23, 27)
Negative pair factors of 621 are:
- -1 × -621 = (-1, -621)
- -3 × -207 = (-3, -207)
- -9 × -69 = (-9, -69)
- -23 × -27 = (-23, -27)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 621 Solved Examples
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Example 1: How many factors are there for 621?
Solution:
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621. Therefore, 621 has 8 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 621 and 610.
Solution:
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621 and factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610.
Therefore, the LCM of 621 and 610 is 378810 and Greatest Common Divisor (GCD) of 621 and 610 is 1. -
Example 3: Find if 3, 9, 23, 207 and 276 are factors of 621.
Solution:
When we divide 621 by 276 it leaves a remainder. Therefore, the number 276 is not a factor of 621. All numbers except 276 are factors of 621.
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Example 4: Find the product of all the prime factors of 621.
Solution:
Since, the prime factors of 621 are 3, 23. Therefore, the product of prime factors = 3 × 23 = 69.
FAQs on Factors of 621
What are the Factors of 621?
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621 and its negative factors are -1, -3, -9, -23, -27, -69, -207, -621.
What is the Sum of all Factors of 621?
Sum of all factors of 621 = (33 + 1 - 1)/(3 - 1) × (231 + 1 - 1)/(23 - 1) = 960
What Numbers are the Prime Factors of 621?
The prime factors of 621 are 3, 23.
What is the Greatest Common Factor of 621 and 239?
The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621 and the factors of 239 are 1, 239. 621 and 239 have only one common factor which is 1. This implies that 621 and 239 are co-prime.
Hence, the Greatest Common Factor (GCF) of 621 and 239 is 1.
How Many Factors of 621 are also common to the Factors of 360?
Since, the factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621 and the factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360.
Hence, [1, 3, 9] are the common factors of 621 and 360.
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