Factors of 555
Factors of 555 are the list of integers that we can split evenly into 555. There are overall 8 factors of 555 among which 555 is the biggest factor and its positive factors are 1, 3, 5, 15, 37, 111, 185, 555. The sum of all factors of 555 is 912. Its Prime Factors are 3 × 5 × 37 and (1, 555), (3, 185), (5, 111), (15, 37) are Pair Factors.
- All Factors of 555: 1, 3, 5, 15, 37, 111, 185 and 555
- Negative Factors of 555: -1, -3, -5, -15, -37, -111, -185 and -555
- Prime Factors of 555: 3, 5, 37
- Prime Factorization of 555: 31 × 51 × 371
- Sum of Factors of 555: 912
1. | What Are the Factors of 555? |
2. | Factors of 555 by Prime Factorization |
3. | Factors of 555 in Pairs |
4. | FAQs on Factors of 555 |

What are Factors of 555?
Factors of 555 are pairs of those numbers whose products result in 555. These factors are either prime numbers or composite numbers.
How to Find the Factors of 555?
To find the factors of 555, we will have to find the list of numbers that would divide 555 without leaving any remainder.
- 555/1 = 555; therefore, 1 is a factor of 555.
- 555/111 = 5; therefore, 111 is a factor of 555.
☛ Also Check:
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 31 - The factors of 31 are 1, 31
- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
Factors of 555 by Prime Factorization
- 555 ÷ 3 = 185
Further dividing 185 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 185 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 555 can be written as 31 × 51 × 371 where 3, 5, 37 are prime.
Factors of 555 in Pairs
Pair factors of 555 are the pairs of numbers that when multiplied give the product 555. The factors of 555 in pairs are:
- 1 × 555 = (1, 555)
- 3 × 185 = (3, 185)
- 5 × 111 = (5, 111)
- 15 × 37 = (15, 37)
Negative pair factors of 555 are:
- -1 × -555 = (-1, -555)
- -3 × -185 = (-3, -185)
- -5 × -111 = (-5, -111)
- -15 × -37 = (-15, -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 555 Solved Examples
-
Example 1: How many factors are there for 555?
Solution:
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. Therefore, 555 has 8 factors.
-
Example 2: Find the LCM and Highest Common Factor (HCF) of 555 and 25.
Solution:
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555 and factors of 25 are 1, 5, 25.
Therefore, the LCM of 555 and 25 is 2775 and Highest Common Factor (HCF) of 555 and 25 is 5. -
Example 3: Find if 3, 15, 37, 111 and 545 are factors of 555.
Solution:
When we divide 555 by 545 it leaves a remainder. Therefore, the number 545 is not a factor of 555. All numbers except 545 are factors of 555.
-
Example 4: Find the product of all the prime factors of 555.
Solution:
Since, the prime factors of 555 are 3, 5, 37. Therefore, the product of prime factors = 3 × 5 × 37 = 555.
FAQs on Factors of 555
What are the Factors of 555?
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555 and its negative factors are -1, -3, -5, -15, -37, -111, -185, -555.
What is the Sum of Factors of 555?
Sum of all factors of 555 = (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) × (371 + 1 - 1)/(37 - 1) = 912
What are the Pair Factors of 555?
The pair factors of 555 are (1, 555), (3, 185), (5, 111), (15, 37).
What is the Greatest Common Factor of 555 and 389?
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555 and the factors of 389 are 1, 389. 555 and 389 have only one common factor which is 1. This implies that 555 and 389 are co-prime.
Hence, the Greatest Common Factor (GCF) of 555 and 389 is 1.
How Many Factors of 555 are also Factors of 406?
Since, the factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555 and factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406. Hence, 555 and 406 have only one common factor which is 1. Therefore, 555 and 406 are co-prime.
visual curriculum