# Factors of 159

Factors of 159 are 1, 3, 53, and 159

#### How to find factors of a number

 1.   Find factors of 159 using Division Method 2.   Find factors of 159 using Prime Factorization 3.   Find factors of 159 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 159

• Divide 159 by 1: 159 ÷ 1 : Remainder = 0
• Divide 159 by 3: 159 ÷ 3 : Remainder = 0
• Divide 159 by 53: 159 ÷ 53 : Remainder = 0
• Divide 159 by 159: 159 ÷ 159 : Remainder = 0

Hence, Factors of 159 are 1, 3, 53, and 159

#### 2. Steps to find factors of 159 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 159 using the division method, follow these steps:

• Step 1. Start dividing 159 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 159, which is 3. Divide 159 by 3 to obtain the quotient (53).
159 ÷ 3 = 53
• Step 3. Repeat step 1 with the obtained quotient (53).
53 ÷ 53 = 1

So, the prime factorization of 159 is, 159 = 3 x 53.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 159 as shown below:

So, the prime factorization of 159 is, 159 = 3 x 53.

#### 3. Find factors of 159 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 159 would be the two numbers which, when multiplied, give 159 as the result.

The following table represents the calculation of factors of 159 in pairs:

Factor Pair Pair Factorization
1 and 159 1 x 159 = 159
3 and 53 3 x 53 = 159

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 159. They are called negative pair factors.

Hence, the negative pairs of 159 would be ( -1 , -159 ) , ( -3 , -53 ) .

#### How can we define factors?

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

#### Properties of factors

• Every number is a factor of zero (0), since 159 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, 53, 159 are exact divisors of 159.
• Factors of 159 are 1, 3, 53, 159. Each factor divides 159 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -159 )?

Factors of -159 are -1, -3, -53, -159.

• What is the sum of all factors of 159?

The sum of all factors of 159 is 216.

• What is prime factorization of 159?

Prime factorization of 159 is 3 x 53.

• What are the pair factors of 159?

Pair factors of 159 are (1,159), (3,53).

• What are six multiples of 159?

First five multiples of 159 are 318, 477, 636, 795, 954, 1113.

• Is 159 a whole number?

Yes 159 is a whole number.

• Which is the smallest prime factor of 159?

Smallest prime factor of 159 is 3.

• What are five multiples of 159?

First five multiples of 159 are 318, 477, 636, 795, 954.

• Write all factors of 159?

Factors of 159 are 1, 3, 53, 159.

#### Examples of Factors

Joey wants to write all the prime factors of 159 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 159 are 3, 53.
So in exponential form it can be written as 3 x 53.

How many factors are there for 159?

Factors of 159 are 1, 3, 53, 159.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 159. Can you predict the answer?

3 factor(s) of 159 are 1, 3, 53.

Sammy is puzzled while calculating the prime factors of 159. Can you help him find them?

Factors of 159 are 1, 3, 53, 159.
Prime factors of 159 are 3, 53

What is prime factorization of 159?

Prime factorization of 159 is 3 x 53 = 3 x 53.

Ariel has been assigned the task to find the product of all the prime factors of 159. Can you help her?

Prime factors of 159 are 3, 53.
Hence, the product of prime factors of 159.

Can you help Rubel to find out the product of the even factors of 159?

Factors of 159 are 1, 3, 53, 159.
Even factors of 159 are 0.
Hence, product of even factors of 159 is; 0 = 0.