# Factors of 285

Factors of 285 are 1, 3, 5, 15, 19, 57, 95, and 285

#### How to find factors of a number

 1.   Find factors of 285 using Division Method 2.   Find factors of 285 using Prime Factorization 3.   Find factors of 285 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 285

• Divide 285 by 1: 285 ÷ 1 : Remainder = 0
• Divide 285 by 3: 285 ÷ 3 : Remainder = 0
• Divide 285 by 5: 285 ÷ 5 : Remainder = 0
• Divide 285 by 15: 285 ÷ 15 : Remainder = 0
• Divide 285 by 19: 285 ÷ 19 : Remainder = 0
• Divide 285 by 57: 285 ÷ 57 : Remainder = 0
• Divide 285 by 95: 285 ÷ 95 : Remainder = 0
• Divide 285 by 285: 285 ÷ 285 : Remainder = 0

Hence, Factors of 285 are 1, 3, 5, 15, 19, 57, 95, and 285

#### 2. Steps to find factors of 285 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 285 using the division method, follow these steps:

• Step 1. Start dividing 285 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 285, which is 3. Divide 285 by 3 to obtain the quotient (95).
285 ÷ 3 = 95
• Step 3. Repeat step 1 with the obtained quotient (95).
95 ÷ 5 = 19
19 ÷ 19 = 1

So, the prime factorization of 285 is, 285 = 3 x 5 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 285 as shown below:

So, the prime factorization of 285 is, 285 = 3 x 5 x 19.

#### 3. Find factors of 285 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 285 would be the two numbers which, when multiplied, give 285 as the result.

The following table represents the calculation of factors of 285 in pairs:

Factor Pair Pair Factorization
1 and 285 1 x 285 = 285
3 and 95 3 x 95 = 285
5 and 57 5 x 57 = 285
15 and 19 15 x 19 = 285

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 285. They are called negative pair factors.

Hence, the negative pairs of 285 would be ( -1 , -285 ) , ( -3 , -95 ) , ( -5 , -57 ) and ( -15 , -19 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 5, 15, 19, 57, 95, 285 are exact divisors of 285.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 285 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 285.

• How do you find factors of a negative number? ( eg. -285 )?

Factors of -285 are -1, -3, -5, -15, -19, -57, -95, -285.

• What is the sum of all factors of 285?

The sum of all factors of 285 is 480.

• What is prime factorization of 285?

Prime factorization of 285 is 3 x 5 x 19.

• What are the pair factors of 285?

Pair factors of 285 are (1,285), (3,95), (5,57), (15,19).

• What are six multiples of 285?

First five multiples of 285 are 570, 855, 1140, 1425, 1710, 1995.

• Is 285 a whole number?

Yes 285 is a whole number.

• Which is the smallest prime factor of 285?

Smallest prime factor of 285 is 3.

• What are five multiples of 285?

First five multiples of 285 are 570, 855, 1140, 1425, 1710.

• Write all factors of 285?

Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285.

#### Examples of Factors

Joey wants to write all the prime factors of 285 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 285 are 3, 5, 19.
So in exponential form it can be written as 3 x 5 x 19.

How many factors are there for 285?

Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 285. Can you predict the answer?

7 factor(s) of 285 are 1, 3, 5, 15, 19, 57, 95.

Sammy is puzzled while calculating the prime factors of 285. Can you help him find them?

Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285.
Prime factors of 285 are 3, 5, 19

What is prime factorization of 285?

Prime factorization of 285 is 3 x 5 x 19 = 3 x 5 x 19.

Ariel has been assigned the task to find the product of all the prime factors of 285. Can you help her?

Prime factors of 285 are 3, 5, 19.
Hence, the product of prime factors of 285.

Can you help Rubel to find out the product of the even factors of 285?

Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285.
Even factors of 285 are 0.
Hence, product of even factors of 285 is; 0 = 0.