# Factors of 178

Factors of 178 are 1, 2, 89, and 178

#### How to find factors of a number

 1.   Find factors of 178 using Division Method 2.   Find factors of 178 using Prime Factorization 3.   Find factors of 178 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 178

• Divide 178 by 1: 178 ÷ 1 : Remainder = 0
• Divide 178 by 2: 178 ÷ 2 : Remainder = 0
• Divide 178 by 89: 178 ÷ 89 : Remainder = 0
• Divide 178 by 178: 178 ÷ 178 : Remainder = 0

Hence, Factors of 178 are 1, 2, 89, and 178

#### 2. Steps to find factors of 178 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 178 using the division method, follow these steps:

• Step 1. Start dividing 178 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 178, which is 2. Divide 178 by 2 to obtain the quotient (89).
178 ÷ 2 = 89
• Step 3. Repeat step 1 with the obtained quotient (89).
89 ÷ 89 = 1

So, the prime factorization of 178 is, 178 = 2 x 89.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 178 as shown below:

So, the prime factorization of 178 is, 178 = 2 x 89.

#### 3. Find factors of 178 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 178 would be the two numbers which, when multiplied, give 178 as the result.

The following table represents the calculation of factors of 178 in pairs:

Factor Pair Pair Factorization
1 and 178 1 x 178 = 178
2 and 89 2 x 89 = 178

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 178. They are called negative pair factors.

Hence, the negative pairs of 178 would be ( -1 , -178 ) , ( -2 , -89 ) .

#### 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. 178 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, 89, 178 are exact divisors of 178.
• 1 is a factor of every number. Eg. 1 is a factor of 178.
• Every number is a factor of zero (0), since 178 x 0 = 0.

• Which is the smallest prime factor of 178?

The smallest prime factor of 178 is 2.

• Is 178 a whole number?

Yes 178 is a whole number.

• What are the prime factors of 178?

The factors of 178 are 1, 2, 89, 178.
Prime factors of 178 are 2, 89.

• What two numbers make 178?

Two numbers that make 178 are 2 and 89.

• What are multiples of 178?

First five multiples of 178 are 356, 534, 712, 890.

• What is the sum of all factors of 178?

The sum of all factors of 178 is 270.

• What are five multiples of 178?

First five multiples of 178 are 356, 534, 712, 890, 1068.

• Is 178 a perfect square?

No 178 is not a perfect square.

• What is the greatest prime factors of 178?

The greatest prime factor of 178 is 89.

#### Examples of Factors

How many factors are there for 178?

Factors of 178 are 1, 2, 89, 178.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 178. Can you predict the answer?

3 factor(s) of 178 are 1, 2, 89.

Sammy is puzzled while calculating the prime factors of 178. Can you help him find them?

Factors of 178 are 1, 2, 89, 178.
Prime factors of 178 are 2, 89

What is prime factorization of 178?

Prime factorization of 178 is 2 x 89 = 2 x 89.

Ariel has been assigned the task to find the product of all the prime factors of 178. Can you help her?

Prime factors of 178 are 2, 89.
Hence, the product of prime factors of 178.

Can you help Rubel to find out the product of the even factors of 178?

Factors of 178 are 1, 2, 89, 178.
Even factors of 178 are 2, 178.
Hence, product of even factors of 178 is; 2 x 178 = 356.

Joy wants to calculate mean of all the factors of 178. Help him in finding the mean of 178.

Factors of 178 are 1, 2, 89, 178.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 178 is 1 + 2 + 89 + 178 = 270.
Hence, the mean of factors of 178 is 270 ÷ 4 = 67.50.