Factors of 388
Factors of 388 are the list of integers that can be evenly divided into 388. There are overall 6 factors of 388 among which 388 is the biggest factor and its positive factors are 1, 2, 4, 97, 194, 388. The sum of all factors of 388 is 686 and its factors in Pairs are (1, 388), (2, 194), (4, 97).
- All Factors of 388: 1, 2, 4, 97, 194 and 388
- Negative Factors of 388: -1, -2, -4, -97, -194 and -388
- Prime Factors of 388: 2, 97
- Prime Factorization of 388: 22 × 971
- Sum of Factors of 388: 686
1. | What Are the Factors of 388? |
2. | Factors of 388 by Prime Factorization |
3. | Factors of 388 in Pairs |
4. | FAQs on Factors of 388 |

What are Factors of 388?
Factors of 388 are pairs of those numbers whose products result in 388. These factors are either prime numbers or composite numbers.
How to Find the Factors of 388?
To find the factors of 388, we will have to find the list of numbers that would divide 388 without leaving any remainder.
- 388/194 = 2; therefore, 194 is a factor of 388 and 2 is also a factor of 388.
- 388/97 = 4; therefore, 97 is a factor of 388 and 4 is also a factor of 388.
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Factors of 388 by Prime Factorization
- 388 ÷ 2 = 194
- 194 ÷ 2 = 97
Further dividing 97 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 97 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 388 can be written as 22 × 971 where 2, 97 are prime.
Factors of 388 in Pairs
Pair factors of 388 are the pairs of numbers that when multiplied give the product 388. The factors of 388 in pairs are:
- 1 × 388 = (1, 388)
- 2 × 194 = (2, 194)
- 4 × 97 = (4, 97)
Negative pair factors of 388 are:
- -1 × -388 = (-1, -388)
- -2 × -194 = (-2, -194)
- -4 × -97 = (-4, -97)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 388 Solved Examples
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Example 1: How many factors are there for 388?
Solution:
The factors of 388 are 1, 2, 4, 97, 194, 388. Therefore, 388 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 388 and 156.
Solution:
The factors of 388 are 1, 2, 4, 97, 194, 388 and factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156.
Therefore, the Least Common Multiple of 388 and 156 is 15132 and Greatest Common Factor (GCF) of 388 and 156 is 4. -
Example 3: Find if 2, 97, 132 and 194 are factors of 388.
Solution:
When we divide 388 by 132 it leaves a remainder. Therefore, the number 132 is not a factor of 388. All numbers except 132 are factors of 388.
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Example 4: Find the product of all the prime factors of 388.
Solution:
Since, the prime factors of 388 are 2, 97. Therefore, the product of prime factors = 2 × 97 = 194.
FAQs on Factors of 388
What are the Factors of 388?
The factors of 388 are 1, 2, 4, 97, 194, 388 and its negative factors are -1, -2, -4, -97, -194, -388.
What is the Sum of all the Factors of 388?
Factors of 388 are 1, 2, 4, 97, 194, 388 and, the sum of all these factors is 1 + 2 + 4 + 97 + 194 + 388 = 686
What are the Prime Factors of 388?
The prime factors of 388 are 2, 97.
What is the Greatest Common Factor of 388 and 337?
The factors of 388 are 1, 2, 4, 97, 194, 388 and the factors of 337 are 1, 337. 388 and 337 have only one common factor which is 1. This implies that 388 and 337 are co-prime.
Hence, the Greatest Common Factor (GCF) of 388 and 337 is 1.
How Many Factors of 388 are also common to the Factors of 300?
Since, the factors of 388 are 1, 2, 4, 97, 194, 388 and the factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.
Hence, [1, 2, 4] are the common factors of 388 and 300.
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