Factors of 246
Factors of 246 are integers that can be divided evenly into 246. There are total 8 factors of 246 i.e. 1, 2, 3, 6, 41, 82, 123, 246. The sum of all factors of 246 is 504 and its factors in Pairs are (1, 246), (2, 123), (3, 82), (6, 41).
- All Factors of 246: 1, 2, 3, 6, 41, 82, 123 and 246
- Negative Factors of 246: -1, -2, -3, -6, -41, -82, -123 and -246
- Prime Factors of 246: 2, 3, 41
- Prime Factorization of 246: 21 × 31 × 411
- Sum of Factors of 246: 504
1. | What Are the Factors of 246? |
2. | Factors of 246 by Prime Factorization |
3. | Factors of 246 in Pairs |
4. | FAQs on Factors of 246 |
What are Factors of 246?
Factors of 246 are pairs of those numbers whose products result in 246. These factors are either prime numbers or composite numbers.
How to Find the Factors of 246?
To find the factors of 246, we will have to find the list of numbers that would divide 246 without leaving any remainder.
- 246/2 = 123; therefore, 2 is a factor of 246 and 123 is also a factor of 246.
- 246/6 = 41; therefore, 6 is a factor of 246 and 41 is also a factor of 246.
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Factors of 246 by Prime Factorization
- 246 ÷ 2 = 123
Further dividing 123 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 123 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 246 can be written as 21 × 31 × 411 where 2, 3, 41 are prime.
Factors of 246 in Pairs
Pair factors of 246 are the pairs of numbers that when multiplied give the product 246. The factors of 246 in pairs are:
- 1 × 246 = (1, 246)
- 2 × 123 = (2, 123)
- 3 × 82 = (3, 82)
- 6 × 41 = (6, 41)
Negative pair factors of 246 are:
- -1 × -246 = (-1, -246)
- -2 × -123 = (-2, -123)
- -3 × -82 = (-3, -82)
- -6 × -41 = (-6, -41)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 246 Solved Examples
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Example 1: How many factors are there for 246?
Solution:
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. Therefore, 246 has 8 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 246 and 22.
Solution:
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246 and factors of 22 are 1, 2, 11, 22.
Therefore, the Least Common Multiple of 246 and 22 is 2706 and Greatest Common Factor (GCF) of 246 and 22 is 2. -
Example 3: Find if 2, 6, 123, 202 and 246 are factors of 246.
Solution:
When we divide 246 by 202 it leaves a remainder. Therefore, the number 202 is not a factor of 246. All numbers except 202 are factors of 246.
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Example 4: Find the product of all the prime factors of 246.
Solution:
Since, the prime factors of 246 are 2, 3, 41. Therefore, the product of prime factors = 2 × 3 × 41 = 246.
FAQs on Factors of 246
What are the Factors of 246?
The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246 and its negative factors are -1, -2, -3, -6, -41, -82, -123, -246.
What is the Sum of the Factors of 246?
Sum of all factors of 246 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (411 + 1 - 1)/(41 - 1) = 504
What Numbers are the Prime Factors of 246?
The prime factors of 246 are 2, 3, 41.
What is the Greatest Common Factor of 246 and 81?
The factors of 246 and 81 are 1, 2, 3, 6, 41, 82, 123, 246 and 1, 3, 9, 27, 81 respectively.
Common factors of 246 and 81 are [1, 3].
Hence, the Greatest Common Factor of 246 and 81 is 3.
How Many Factors of 246 are also Factors of 128?
Since, the factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246 and the factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128.
Hence, [1, 2] are the common factors of 246 and 128.
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