Factors of 367
Factors of 367 are the list of integers that can be evenly divided into 367. There are overall 2 factors of 367 i.e. 1, 367 where 367 is the biggest factor. The sum of all factors of 367 is 368 and its factors in Pairs are (1, 367).
- All Factors of 367: 1 and 367
- Negative Factors of 367: -1 and -367
- Prime Factors of 367: 367
- Prime Factorization of 367: 3671
- Sum of Factors of 367: 368
1. | What Are the Factors of 367? |
2. | Factors of 367 by Prime Factorization |
3. | Factors of 367 in Pairs |
4. | FAQs on Factors of 367 |

What are Factors of 367?
Factors of 367 are pairs of those numbers whose products result in 367. These factors are either prime numbers or composite numbers.
How to Find the Factors of 367?
To find the factors of 367, we will have to find the list of numbers that would divide 367 without leaving any remainder.
- 367/367 = 1; therefore, 367 is a factor of 367.
- 367/1 = 367; therefore, 1 is a factor of 367.
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- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 367 by Prime Factorization
So, the prime factorization of 367 can be written as 3671 where 367 is prime.
Factors of 367 in Pairs
Pair factors of 367 are the pairs of numbers that when multiplied give the product 367. The factors of 367 in pairs are:
- 1 × 367 = (1, 367)
Negative pair factors of 367 are:
- -1 × -367 = (-1, -367)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 367 Solved Examples
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Example 1: How many factors are there for 367?
Solution:
The factors of 367 are 1, 367. Therefore, 367 has 2 factors.
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Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 367 and 300.
Solution:
The factors of 367 are 1, 367 and factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.
Therefore, the Least Common Multiple (LCM) of 367 and 300 is 110100 and Highest Common Factor (HCF) of 367 and 300 is 1. -
Example 3: Find if 190 and 367 are factors of 367.
Solution:
When we divide 367 by 190 it leaves a remainder. Therefore, the number 190 is not a factor of 367. All numbers except 190 are factors of 367.
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Example 4: Find the product of all the factors of 367.
Solution:
Since, the factors of 367 are 1, 367. Therefore, the product of factors = 1 × 367 = 367.
FAQs on Factors of 367
What are the Factors of 367?
The factors of 367 are 1, 367 and its negative factors are -1, -367.
What is the Sum of all Factors of 367?
Since, all factors of 367 are 1, 367 therefore, the sum of its factors is 1 + 367 = 368.
What numbers are the Pair Factors of 367?
The pair factors of 367 are (1, 367).
What is the Greatest Common Factor of 367 and 63?
The factors of 367 are 1, 367 and the factors of 63 are 1, 3, 7, 9, 21, 63. 367 and 63 have only one common factor which is 1. This implies that 367 and 63 are co-prime.
Hence, the Greatest Common Factor (GCF) of 367 and 63 is 1.
How Many Factors of 367 are also Factors of 350?
Since, the factors of 367 are 1, 367 and factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. Hence, 367 and 350 have only one common factor which is 1. Therefore, 367 and 350 are co-prime.
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