Factors of 285
Factors of 285 are the list of integers that can be evenly divided into 285. There are 8 factors of 285 of which 285 itself is the biggest factor and its positive factors are 1, 3, 5, 15, 19, 57, 95, 285. The sum of all factors of 285 is 480. Its Prime Factors are 3 × 5 × 19 and (1, 285), (3, 95), (5, 57), (15, 19) are Pair Factors.
 All Factors of 285: 1, 3, 5, 15, 19, 57, 95 and 285
 Negative Factors of 285: 1, 3, 5, 15, 19, 57, 95 and 285
 Prime Factors of 285: 3, 5, 19
 Prime Factorization of 285: 3^{1} × 5^{1} × 19^{1}
 Sum of Factors of 285: 480
1.  What Are the Factors of 285? 
2.  Factors of 285 by Prime Factorization 
3.  Factors of 285 in Pairs 
4.  FAQs on Factors of 285 
What are Factors of 285?
Factors of 285 are pairs of those numbers whose products result in 285. These factors are either prime numbers or composite numbers.
How to Find the Factors of 285?
To find the factors of 285, we will have to find the list of numbers that would divide 285 without leaving any remainder.
 285/1 = 285; therefore, 1 is a factor of 285.
 285/15 = 19; therefore, 15 is a factor of 285.
☛ Also Check:
 Factors of 91  The factors of 91 are 1, 7, 13, 91
 Factors of 55  The factors of 55 are 1, 5, 11, 55
 Factors of 40  The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
 Factors of 63  The factors of 63 are 1, 3, 7, 9, 21, 63
 Factors of 144  The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Factors of 285 by Prime Factorization
 285 ÷ 3 = 95
Further dividing 95 by 3 gives a nonzero remainder. So we stop the process and continue dividing the number 95 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 285 can be written as 3^{1} × 5^{1} × 19^{1} where 3, 5, 19 are prime.
Factors of 285 in Pairs
Pair factors of 285 are the pairs of numbers that when multiplied give the product 285. The factors of 285 in pairs are:
 1 × 285 = (1, 285)
 3 × 95 = (3, 95)
 5 × 57 = (5, 57)
 15 × 19 = (15, 19)
Negative pair factors of 285 are:
 1 × 285 = (1, 285)
 3 × 95 = (3, 95)
 5 × 57 = (5, 57)
 15 × 19 = (15, 19)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 285 Solved Examples

Example 1: How many factors are there for 285?
Solution:
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. Therefore, 285 has 8 factors.

Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 285 and 256.
Solution:
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285 and factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256.
Therefore, the Lowest Common Multiple (LCM) of 285 and 256 is 72960 and Highest Common Factor (HCF) of 285 and 256 is 1. 
Example 3: Find if 1, 5, 15, 178 and 285 are factors of 285.
Solution:
When we divide 285 by 178 it leaves a remainder. Therefore, the number 178 is not a factor of 285. All numbers except 178 are factors of 285.

Example 4: Find the product of all the prime factors of 285.
Solution:
Since, the prime factors of 285 are 3, 5, 19. Therefore, the product of prime factors = 3 × 5 × 19 = 285.
FAQs on Factors of 285
What are the Factors of 285?
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285 and its negative factors are 1, 3, 5, 15, 19, 57, 95, 285.
What is the Sum of all Factors of 285?
Sum of all factors of 285 = (3^{1 + 1}  1)/(3  1) × (5^{1 + 1}  1)/(5  1) × (19^{1 + 1}  1)/(19  1) = 480
What numbers are the Pair Factors of 285?
The pair factors of 285 are (1, 285), (3, 95), (5, 57), (15, 19).
What is the Greatest Common Factor of 285 and 192?
The factors of 285 and 192 are 1, 3, 5, 15, 19, 57, 95, 285 and 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192 respectively.
Common factors of 285 and 192 are [1, 3].
Hence, the GCF of 285 and 192 is 3.
How Many Factors of 285 are also Factors of 36?
Since, the factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285 and the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
Hence, [1, 3] are the common factors of 285 and 36.
visual curriculum