Factors of 299
Factors of 299 are the list of integers that can be evenly divided into 299. There are 4 factors of 299 of which 299 itself is the biggest factor and its positive factors are 1, 13, 23, 299. The sum of all factors of 299 is 336 and its factors in Pairs are (1, 299), (13, 23).
- All Factors of 299: 1, 13, 23 and 299
- Negative Factors of 299: -1, -13, -23 and -299
- Prime Factors of 299: 13, 23
- Prime Factorization of 299: 131 × 231
- Sum of Factors of 299: 336
1. | What Are the Factors of 299? |
2. | Factors of 299 by Prime Factorization |
3. | Factors of 299 in Pairs |
4. | FAQs on Factors of 299 |
What are Factors of 299?
Factors of 299 are pairs of those numbers whose products result in 299. These factors are either prime numbers or composite numbers.
How to Find the Factors of 299?
To find the factors of 299, we will have to find the list of numbers that would divide 299 without leaving any remainder.
- 299/13 = 23; therefore, 13 is a factor of 299 and 23 is also a factor of 299.
- 299/1 = 299; therefore, 1 is a factor of 299 and 299 is also a factor of 299.
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- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
Factors of 299 by Prime Factorization
- 299 ÷ 13 = 23
Further dividing 23 by 13 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 299 can be written as 131 × 231 where 13, 23 are prime.
Factors of 299 in Pairs
Pair factors of 299 are the pairs of numbers that when multiplied give the product 299. The factors of 299 in pairs are:
- 1 × 299 = (1, 299)
- 13 × 23 = (13, 23)
Negative pair factors of 299 are:
- -1 × -299 = (-1, -299)
- -13 × -23 = (-13, -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 299 Solved Examples
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Example 1: How many factors are there for 299?
Solution:
The factors of 299 are 1, 13, 23, 299. Therefore, 299 has 4 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 299 and 260.
Solution:
The factors of 299 are 1, 13, 23, 299 and factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260.
Therefore, the LCM of 299 and 260 is 5980 and Greatest Common Factor (GCF) of 299 and 260 is 13. -
Example 3: Find if 1, 13 and 218 are factors of 299.
Solution:
When we divide 299 by 218 it leaves a remainder. Therefore, the number 218 is not a factor of 299. All numbers except 218 are factors of 299.
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Example 4: Find the product of all the prime factors of 299.
Solution:
Since, the prime factors of 299 are 13, 23. Therefore, the product of prime factors = 13 × 23 = 299.
FAQs on Factors of 299
What are the Factors of 299?
The factors of 299 are 1, 13, 23, 299 and its negative factors are -1, -13, -23, -299.
What is the Sum of the Factors of 299?
All the Factors of 299 are 1, 13, 23, 299 and therefore the sum of all these factors is 1 + 13 + 23 + 299 = 336
What are the Prime Factors of 299?
The prime factors of 299 are 13, 23.
What is the Greatest Common Factor of 299 and 273?
The factors of 299 and 273 are 1, 13, 23, 299 and 1, 3, 7, 13, 21, 39, 91, 273 respectively.
Common factors of 299 and 273 are [1, 13].
Hence, the Greatest Common Factor of 299 and 273 is 13.
How Many Factors of 76 are also common to the Factors of 299?
Since, the factors of 299 are 1, 13, 23, 299 and factors of 76 are 1, 2, 4, 19, 38, 76. Hence, 299 and 76 have only one common factor which is 1. Therefore, 299 and 76 are co-prime.
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