Factors of 1369
Factors of 1369 are the list of integers that we can split evenly into 1369. There are overall 3 factors of 1369 among which 1369 is the biggest factor and 1, 37, 1369 are positive factors. The sum of all factors of 1369 is 1407. Its Prime Factors are 37 and (1, 1369), (37, 37) are Pair Factors.
- All Factors of 1369: 1, 37 and 1369
- Negative Factors of 1369: -1, -37 and -1369
- Prime Factors of 1369: 37
- Prime Factorization of 1369: 372
- Sum of Factors of 1369: 1407
1. | What Are the Factors of 1369? |
2. | Factors of 1369 by Prime Factorization |
3. | Factors of 1369 in Pairs |
4. | FAQs on Factors of 1369 |
What are Factors of 1369?
Factors of 1369 are pairs of those numbers whose products result in 1369. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1369?
To find the factors of 1369, we will have to find the list of numbers that would divide 1369 without leaving any remainder.
- 1369/37 = 37; therefore, 37 is a factor of 1369.
- 1369/1 = 1369; therefore, 1 is a factor of 1369 and 1369 is also a factor of 1369.
☛ Also Check:
- Factors of 125 - The factors of 125 are 1, 5, 25, 125
- Factors of 17 - The factors of 17 are 1, 17
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
Factors of 1369 by Prime Factorization
- 1369 ÷ 37 = 37
- 37 ÷ 37 = 1
Further dividing 1 by 37 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 1369 is 372.
Factors of 1369 in Pairs
Pair factors of 1369 are the pairs of numbers that when multiplied give the product 1369. The factors of 1369 in pairs are:
- 1 × 1369 = (1, 1369)
- 37 × 37 = (37, 37)
Negative pair factors of 1369 are:
- -1 × -1369 = (-1, -1369)
- -37 × -37 = (-37, -37)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1369 Solved Examples
-
Example 1: How many factors are there for 1369?
Solution:
The factors of 1369 are 1, 37, 1369. Therefore, 1369 has 3 factors.
-
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1369 and 216.
Solution:
The factors of 1369 are 1, 37, 1369 and factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216.
Therefore, the Least Common Multiple (LCM) of 1369 and 216 is 295704 and Greatest Common Divisor (GCD) of 1369 and 216 is 1. -
Example 3: Find if 1033 and 1369 are factors of 1369.
Solution:
When we divide 1369 by 1033 it leaves a remainder. Therefore, the number 1033 is not a factor of 1369. All numbers except 1033 are factors of 1369.
-
Example 4: Find the product of all the prime factors of 1369.
Solution:
Since, the prime factor of 1369 is 37. Therefore, the product of prime factors = 37.
FAQs on Factors of 1369
What are the Factors of 1369?
The factors of 1369 are 1, 37, 1369 and its negative factors are -1, -37, -1369.
What is the Sum of the Factors of 1369?
Factors of 1369 are 1, 37, 1369 and, the sum of all these factors is 1 + 37 + 1369 = 1407
What Numbers are the Prime Factors of 1369?
The prime factor of 1369 is 37.
What is the Greatest Common Factor of 1369 and 1178?
The factors of 1369 are 1, 37, 1369 and the factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178. 1369 and 1178 have only one common factor which is 1. This implies that 1369 and 1178 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1369 and 1178 is 1.
How Many Factors of 1369 are also common to the Factors of 1209?
Since, the factors of 1369 are 1, 37, 1369 and factors of 1209 are 1, 3, 13, 31, 39, 93, 403, 1209. Hence, 1369 and 1209 have only one common factor which is 1. Therefore, 1369 and 1209 are co-prime.
visual curriculum