# Factors of 153

Factors of 153 are 1, 3, 9, 17, 51, and 153

#### How to find factors of a number

 1.   Find factors of 153 using Division Method 2.   Find factors of 153 using Prime Factorization 3.   Find factors of 153 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 153

• Divide 153 by 1: 153 ÷ 1 : Remainder = 0
• Divide 153 by 3: 153 ÷ 3 : Remainder = 0
• Divide 153 by 9: 153 ÷ 9 : Remainder = 0
• Divide 153 by 17: 153 ÷ 17 : Remainder = 0
• Divide 153 by 51: 153 ÷ 51 : Remainder = 0
• Divide 153 by 153: 153 ÷ 153 : Remainder = 0

Hence, Factors of 153 are 1, 3, 9, 17, 51, and 153

#### 2. Steps to find factors of 153 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 153 using the division method, follow these steps:

• Step 1. Start dividing 153 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 153, which is 3. Divide 153 by 3 to obtain the quotient (51).
153 ÷ 3 = 51
• Step 3. Repeat step 1 with the obtained quotient (51).
51 ÷ 3 = 17
17 ÷ 17 = 1

So, the prime factorization of 153 is, 153 = 3 x 3 x 17.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 153 as shown below:

So, the prime factorization of 153 is, 153 = 3 x 3 x 17.

#### 3. Find factors of 153 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 153 would be the two numbers which, when multiplied, give 153 as the result.

The following table represents the calculation of factors of 153 in pairs:

Factor Pair Pair Factorization
1 and 153 1 x 153 = 153
3 and 51 3 x 51 = 153
9 and 17 9 x 17 = 153

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 153. They are called negative pair factors.

Hence, the negative pairs of 153 would be ( -1 , -153 ) , ( -3 , -51 ) and ( -9 , -17 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. 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, 9, 17, 51, 153 are exact divisors of 153.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 153 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 153.

• Which is the smallest prime factor of 153?

Smallest prime factor of 153 is 3.

• Is 153 a perfect square?

No 153 is not a perfect square.

• What are five multiples of 153?

First five multiples of 153 are 306, 459, 612, 765, 918.

• What is prime factorization of 153?

Prime factorization of 153 is 3 x 3 x 17.

• What are factors of 153?

Factors of 153 are 1, 3, 9, 17, 51, 153.

• How do you find factors of a negative number? ( eg. -153 )?

Factors of -153 are -1, -3, -9, -17, -51, -153.

• Is 153 a whole number?

Yes 153 is a whole number.

• Which is greatest factor of 153?

The greatest factor of 153 is 51.

• What are the prime factors of 153?

The factors of 153 are 1, 3, 9, 17, 51, 153.
Prime factors of 153 are 3, 3, 17.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 153. Can you help her?

Prime factors of 153 are 3, 3, 17.
Hence, the product of prime factors of 51.

Can you help Rubel to find out the product of the even factors of 153?

Factors of 153 are 1, 3, 9, 17, 51, 153.
Even factors of 153 are 0.
Hence, product of even factors of 153 is; 0 = 0.

Joy wants to calculate mean of all the factors of 153. Help him in finding the mean of 153.

Factors of 153 are 1, 3, 9, 17, 51, 153.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 153 is 1 + 3 + 9 + 17 + 51 + 153 = 234.
Hence, the mean of factors of 153 is 234 ÷ 6 = 39.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 153? Help her in writing all the factors.

Positive factors are 1, 3, 9, 17, 51, 153.
Negative factors are -1, -3, -9, -17, -51, -153.

How many factors are there for 153?

Factors of 153 are 1, 3, 9, 17, 51, 153.
So there are in total 6 factors.

Joey wants to write all the prime factors of 153 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 153 are 3, 3, 17.
So in exponential form it can be written as 32 x 17.

Kevin has been asked to write 5 factor(s) of 153. Can you predict the answer?

5 factor(s) of 153 are 1, 3, 9, 17, 51.