Factors of 369
Factors of 369 are the list of integers that can be evenly divided into 369. There are overall 6 factors of 369 i.e. 1, 3, 9, 41, 123, 369 where 369 is the biggest factor. The sum of all factors of 369 is 546 and its factors in Pairs are (1, 369), (3, 123), (9, 41).
- All Factors of 369: 1, 3, 9, 41, 123 and 369
- Negative Factors of 369: -1, -3, -9, -41, -123 and -369
- Prime Factors of 369: 3, 41
- Prime Factorization of 369: 32 × 411
- Sum of Factors of 369: 546
1. | What Are the Factors of 369? |
2. | Factors of 369 by Prime Factorization |
3. | Factors of 369 in Pairs |
4. | FAQs on Factors of 369 |
What are Factors of 369?
Factors of 369 are pairs of those numbers whose products result in 369. These factors are either prime numbers or composite numbers.
How to Find the Factors of 369?
To find the factors of 369, we will have to find the list of numbers that would divide 369 without leaving any remainder.
- 369/369 = 1; therefore, 369 is a factor of 369.
- 369/41 = 9; therefore, 41 is a factor of 369.
☛ Also Check:
- Factors of 7 - The factors of 7 are 1, 7
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
- Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
Factors of 369 by Prime Factorization
- 369 ÷ 3 = 123
- 123 ÷ 3 = 41
Further dividing 41 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 41 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 369 can be written as 32 × 411 where 3, 41 are prime.
Factors of 369 in Pairs
Pair factors of 369 are the pairs of numbers that when multiplied give the product 369. The factors of 369 in pairs are:
- 1 × 369 = (1, 369)
- 3 × 123 = (3, 123)
- 9 × 41 = (9, 41)
Negative pair factors of 369 are:
- -1 × -369 = (-1, -369)
- -3 × -123 = (-3, -123)
- -9 × -41 = (-9, -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 369 Solved Examples
-
Example 1: How many factors are there for 369?
Solution:
The factors of 369 are 1, 3, 9, 41, 123, 369. Therefore, 369 has 6 factors.
-
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 369 and 348.
Solution:
The factors of 369 are 1, 3, 9, 41, 123, 369 and factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348.
Therefore, the Least Common Multiple (LCM) of 369 and 348 is 42804 and Greatest Common Factor (GCF) of 369 and 348 is 3. -
Example 3: Find if 3, 41, 74 and 123 are factors of 369.
Solution:
When we divide 369 by 74 it leaves a remainder. Therefore, the number 74 is not a factor of 369. All numbers except 74 are factors of 369.
-
Example 4: Find the product of all the prime factors of 369.
Solution:
Since, the prime factors of 369 are 3, 41. Therefore, the product of prime factors = 3 × 41 = 123.
FAQs on Factors of 369
What are the Factors of 369?
The factors of 369 are 1, 3, 9, 41, 123, 369 and its negative factors are -1, -3, -9, -41, -123, -369.
What is the Sum of all the Factors of 369?
Since, all factors of 369 are 1, 3, 9, 41, 123, 369 therefore, the sum of its factors is 1 + 3 + 9 + 41 + 123 + 369 = 546.
What Numbers are the Prime Factors of 369?
The prime factors of 369 are 3, 41.
What is the Greatest Common Factor of 369 and 127?
The factors of 369 are 1, 3, 9, 41, 123, 369 and the factors of 127 are 1, 127. 369 and 127 have only one common factor which is 1. This implies that 369 and 127 are co-prime.
Hence, the Greatest Common Factor (GCF) of 369 and 127 is 1.
What are the Common Factors of 369 and 185?
Since, the factors of 369 are 1, 3, 9, 41, 123, 369 and factors of 185 are 1, 5, 37, 185. Hence, 369 and 185 have only one common factor which is 1. Therefore, 369 and 185 are co-prime.
visual curriculum