Factors of 1313
Factors of 1313 are the list of integers that we can split evenly into 1313. It has a total of 4 factors of which 1313 is the biggest factor and the positive factors of 1313 are 1, 13, 101, 1313. The Pair Factors of 1313 are (1, 1313), (13, 101) and its Prime Factors are 13 × 101.
- All Factors of 1313: 1, 13, 101 and 1313
- Negative Factors of 1313: -1, -13, -101 and -1313
- Prime Factors of 1313: 13, 101
- Prime Factorization of 1313: 131 × 1011
- Sum of Factors of 1313: 1428
1. | What Are the Factors of 1313? |
2. | Factors of 1313 by Prime Factorization |
3. | Factors of 1313 in Pairs |
4. | FAQs on Factors of 1313 |
What are Factors of 1313?
Factors of 1313 are pairs of those numbers whose products result in 1313. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1313?
To find the factors of 1313, we will have to find the list of numbers that would divide 1313 without leaving any remainder.
- 1313/101 = 13; therefore, 101 is a factor of 1313 and 13 is also a factor of 1313.
- 1313/1313 = 1; therefore, 1313 is a factor of 1313 and 1 is also a factor of 1313.
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Factors of 1313 by Prime Factorization
- 1313 ÷ 13 = 101
Further dividing 101 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 101 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 1313 can be written as 131 × 1011 where 13, 101 are prime.
Factors of 1313 in Pairs
Pair factors of 1313 are the pairs of numbers that when multiplied give the product 1313. The factors of 1313 in pairs are:
- 1 × 1313 = (1, 1313)
- 13 × 101 = (13, 101)
Negative pair factors of 1313 are:
- -1 × -1313 = (-1, -1313)
- -13 × -101 = (-13, -101)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1313 Solved Examples
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Example 1: How many factors are there for 1313?
Solution:
The factors of 1313 are 1, 13, 101, 1313. Therefore, 1313 has 4 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1313 and 376.
Solution:
The factors of 1313 are 1, 13, 101, 1313 and factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376.
Therefore, the Least Common Multiple (LCM) of 1313 and 376 is 493688 and Greatest Common Divisor (GCD) of 1313 and 376 is 1. -
Example 3: Find if 1, 13 and 483 are factors of 1313.
Solution:
When we divide 1313 by 483 it leaves a remainder. Therefore, the number 483 is not a factor of 1313. All numbers except 483 are factors of 1313.
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Example 4: Find the product of all the prime factors of 1313.
Solution:
Since, the prime factors of 1313 are 13, 101. Therefore, the product of prime factors = 13 × 101 = 1313.
FAQs on Factors of 1313
What are the Factors of 1313?
The factors of 1313 are 1, 13, 101, 1313 and its negative factors are -1, -13, -101, -1313.
What is the Sum of all Factors of 1313?
Since, all factors of 1313 are 1, 13, 101, 1313 therefore, the sum of its factors is 1 + 13 + 101 + 1313 = 1428.
What numbers are the Pair Factors of 1313?
The pair factors of 1313 are (1, 1313), (13, 101).
What is the Greatest Common Factor of 1313 and 30?
The factors of 1313 are 1, 13, 101, 1313 and the factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. 1313 and 30 have only one common factor which is 1. This implies that 1313 and 30 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1313 and 30 is 1.
What are the Common Factors of 1313 and 212?
Since, the factors of 1313 are 1, 13, 101, 1313 and factors of 212 are 1, 2, 4, 53, 106, 212. Hence, 1313 and 212 have only one common factor which is 1. Therefore, 1313 and 212 are co-prime.
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