# Factors of 495

Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495

#### How to find factors of a number

 1.   Find factors of 495 using Division Method 2.   Find factors of 495 using Prime Factorization 3.   Find factors of 495 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 495

• Divide 495 by 1: 495 ÷ 1 : Remainder = 0
• Divide 495 by 3: 495 ÷ 3 : Remainder = 0
• Divide 495 by 5: 495 ÷ 5 : Remainder = 0
• Divide 495 by 9: 495 ÷ 9 : Remainder = 0
• Divide 495 by 11: 495 ÷ 11 : Remainder = 0
• Divide 495 by 15: 495 ÷ 15 : Remainder = 0
• Divide 495 by 33: 495 ÷ 33 : Remainder = 0
• Divide 495 by 45: 495 ÷ 45 : Remainder = 0
• Divide 495 by 55: 495 ÷ 55 : Remainder = 0
• Divide 495 by 99: 495 ÷ 99 : Remainder = 0
• Divide 495 by 165: 495 ÷ 165 : Remainder = 0
• Divide 495 by 495: 495 ÷ 495 : Remainder = 0

Hence, Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495

#### 2. Steps to find factors of 495 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 495 using the division method, follow these steps:

• Step 1. Start dividing 495 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 495, which is 3. Divide 495 by 3 to obtain the quotient (165).
495 ÷ 3 = 165
• Step 3. Repeat step 1 with the obtained quotient (165).
165 ÷ 3 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1

So, the prime factorization of 495 is, 495 = 3 x 3 x 5 x 11.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 495 as shown below:

So, the prime factorization of 495 is, 495 = 3 x 3 x 5 x 11.

#### 3. Find factors of 495 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 495 would be the two numbers which, when multiplied, give 495 as the result.

The following table represents the calculation of factors of 495 in pairs:

Factor Pair Pair Factorization
1 and 495 1 x 495 = 495
3 and 165 3 x 165 = 495
5 and 99 5 x 99 = 495
9 and 55 9 x 55 = 495
11 and 45 11 x 45 = 495
15 and 33 15 x 33 = 495

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 495. They are called negative pair factors.

Hence, the negative pairs of 495 would be ( -1 , -495 ) , ( -3 , -165 ) , ( -5 , -99 ) , ( -9 , -55 ) , ( -11 , -45 ) and ( -15 , -33 ) .

#### 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 number is a factor of zero (0), since 495 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495 are exact divisors of 495.
• Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. Each factor divides 495 without leaving a remainder.

• Which is the smallest prime factor of 495?

Smallest prime factor of 495 is 3.

• Is 495 a perfect square?

No 495 is not a perfect square.

• What are five multiples of 495?

First five multiples of 495 are 990, 1485, 1980, 2475, 2970.

• What is prime factorization of 495?

Prime factorization of 495 is 3 x 3 x 5 x 11.

• What are factors of 495?

Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495.

• How do you find factors of a negative number? ( eg. -495 )?

Factors of -495 are -1, -3, -5, -9, -11, -15, -33, -45, -55, -99, -165, -495.

• Is 495 a whole number?

Yes 495 is a whole number.

• Which is greatest factor of 495?

The greatest factor of 495 is 165.

• What are the prime factors of 495?

The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495.
Prime factors of 495 are 3, 3, 5, 11.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 495. Can you help her?

Prime factors of 495 are 3, 3, 5, 11.
Hence, the product of prime factors of 165.

Can you help Rubel to find out the product of the even factors of 495?

Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495.
Even factors of 495 are 0.
Hence, product of even factors of 495 is; 0 = 0.

Joy wants to calculate mean of all the factors of 495. Help him in finding the mean of 495.

Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 495 is 1 + 3 + 5 + 9 + 11 + 15 + 33 + 45 + 55 + 99 + 165 + 495 = 936.
Hence, the mean of factors of 495 is 936 ÷ 12 = 78.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 495? Help her in writing all the factors.

Positive factors are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495.
Negative factors are -1, -3, -5, -9, -11, -15, -33, -45, -55, -99, -165, -495.

How many factors are there for 495?

Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495.
So there are in total 12 factors.

Joey wants to write all the prime factors of 495 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 495 are 3, 3, 5, 11.
So in exponential form it can be written as 32 x 5 x 11.

Kevin has been asked to write 11 factor(s) of 495. Can you predict the answer?

11 factor(s) of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165.