# Factors of 158

Factors of 158 are 1, 2, 79, and 158

#### How to find factors of a number

 1.   Find factors of 158 using Division Method 2.   Find factors of 158 using Prime Factorization 3.   Find factors of 158 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 158

• Divide 158 by 1: 158 ÷ 1 : Remainder = 0
• Divide 158 by 2: 158 ÷ 2 : Remainder = 0
• Divide 158 by 79: 158 ÷ 79 : Remainder = 0
• Divide 158 by 158: 158 ÷ 158 : Remainder = 0

Hence, Factors of 158 are 1, 2, 79, and 158

#### 2. Steps to find factors of 158 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 158 using the division method, follow these steps:

• Step 1. Start dividing 158 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 158, which is 2. Divide 158 by 2 to obtain the quotient (79).
158 ÷ 2 = 79
• Step 3. Repeat step 1 with the obtained quotient (79).
79 ÷ 79 = 1

So, the prime factorization of 158 is, 158 = 2 x 79.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 158 as shown below:

So, the prime factorization of 158 is, 158 = 2 x 79.

#### 3. Find factors of 158 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 158 would be the two numbers which, when multiplied, give 158 as the result.

The following table represents the calculation of factors of 158 in pairs:

Factor Pair Pair Factorization
1 and 158 1 x 158 = 158
2 and 79 2 x 79 = 158

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 158. They are called negative pair factors.

Hence, the negative pairs of 158 would be ( -1 , -158 ) , ( -2 , -79 ) .

#### 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

• Each number is a factor of itself. Eg. 158 is a factor of itself.
• 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, 2, 79, 158 are exact divisors of 158.
• 1 is a factor of every number. Eg. 1 is a factor of 158.
• Every number is a factor of zero (0), since 158 x 0 = 0.

• What are the pair factors of 158?

Pair factors of 158 are (1,158), (2,79).

• What are five multiples of 158?

First five multiples of 158 are 316, 474, 632, 790, 948.

• What two numbers make 158?

Two numbers that make 158 are 2 and 79.

• What is the sum of all factors of 158?

The sum of all factors of 158 is 240.

• What are factors of -158?

Factors of -158 are -1, -2, -79, -158.

• What are factors of 158?

Factors of 158 are 1, 2, 79, 158.

• Is 158 a perfect square?

No 158 is not a perfect square.

• Which is the smallest prime factor of 158?

Smallest prime factor of 158 is 2.

• Which is greatest factor of 158?

The greatest factor of 158 is 79.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 158?

Factors of 158 are 1, 2, 79, 158.
Odd factors of 158 are 1, 79.
Hence product of odd factors of 158 is; 1 x 79 = 79.

Joey wants to write all the prime factors of 158 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 158 are 2, 79.
So in exponential form it can be written as 2 x 79.

How many factors are there for 158?

Factors of 158 are 1, 2, 79, 158.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 158. Can you predict the answer?

3 factor(s) of 158 are 1, 2, 79.

Sammy is puzzled while calculating the prime factors of 158. Can you help him find them?

Factors of 158 are 1, 2, 79, 158.
Prime factors of 158 are 2, 79

What is prime factorization of 158?

Prime factorization of 158 is 2 x 79 = 2 x 79.

Can you help Rubel to find out the product of the even factors of 158?

Factors of 158 are 1, 2, 79, 158.
Even factors of 158 are 2, 158.
Hence, product of even factors of 158 is; 2 x 158 = 316.