# Factors of 148

Factors of 148 are 1, 2, 4, 37, 74, and 148

#### How to find factors of a number

 1.   Find factors of 148 using Division Method 2.   Find factors of 148 using Prime Factorization 3.   Find factors of 148 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 148

• Divide 148 by 1: 148 ÷ 1 : Remainder = 0
• Divide 148 by 2: 148 ÷ 2 : Remainder = 0
• Divide 148 by 4: 148 ÷ 4 : Remainder = 0
• Divide 148 by 37: 148 ÷ 37 : Remainder = 0
• Divide 148 by 74: 148 ÷ 74 : Remainder = 0
• Divide 148 by 148: 148 ÷ 148 : Remainder = 0

Hence, Factors of 148 are 1, 2, 4, 37, 74, and 148

#### 2. Steps to find factors of 148 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 148 using the division method, follow these steps:

• Step 1. Start dividing 148 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 148, which is 2. Divide 148 by 2 to obtain the quotient (74).
148 ÷ 2 = 74
• Step 3. Repeat step 1 with the obtained quotient (74).
74 ÷ 2 = 37
37 ÷ 37 = 1

So, the prime factorization of 148 is, 148 = 2 x 2 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 148 as shown below:

So, the prime factorization of 148 is, 148 = 2 x 2 x 37.

#### 3. Find factors of 148 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 148 would be the two numbers which, when multiplied, give 148 as the result.

The following table represents the calculation of factors of 148 in pairs:

Factor Pair Pair Factorization
1 and 148 1 x 148 = 148
2 and 74 2 x 74 = 148
4 and 37 4 x 37 = 148

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 148. They are called negative pair factors.

Hence, the negative pairs of 148 would be ( -1 , -148 ) , ( -2 , -74 ) and ( -4 , -37 ) .

#### 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. 148 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 148.
• Every number is a factor of zero (0), since 148 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, 2, 4, 37, 74, 148 are exact divisors of 148.
• Factors of 148 are 1, 2, 4, 37, 74, 148. Each factor divides 148 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 37, 74, 148 are all less than or equal to 148.

• Is 148 a perfect square?

No 148 is not a perfect square.

• What are factors of 148?

Factors of 148 are 1, 2, 4, 37, 74, 148.

• Which is greatest factor of 148?

The greatest factor of 148 is 74.

• What is the sum of all factors of 148?

The sum of all factors of 148 is 266.

• What are multiples of 148?

First five multiples of 148 are 296, 444, 592, 740.

• What is the greatest prime factors of 148?

The greatest prime factor of 148 is 37.

• What are six multiples of 148?

First five multiples of 148 are 296, 444, 592, 740, 888, 1036.

• What is prime factorization of 148?

Prime factorization of 148 is 2 x 2 x 37.

• Is 148 a whole number?

Yes 148 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 148? Help her in writing all the factors.

Positive factors are 1, 2, 4, 37, 74, 148.
Negative factors are -1, -2, -4, -37, -74, -148.

Can you help Sammy find out the product of the odd factors of 148?

Factors of 148 are 1, 2, 4, 37, 74, 148.
Odd factors of 148 are 1, 37.
Hence product of odd factors of 148 is; 1 x 37 = 37.

Joey wants to write all the prime factors of 148 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 148 are 2, 2, 37.
So in exponential form it can be written as 22 x 37.

How many factors are there for 148?

Factors of 148 are 1, 2, 4, 37, 74, 148.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 148. Can you predict the answer?

5 factor(s) of 148 are 1, 2, 4, 37, 74.

Sammy is puzzled while calculating the prime factors of 148. Can you help him find them?

Factors of 148 are 1, 2, 4, 37, 74, 148.
Prime factors of 148 are 2, 2, 37

What is prime factorization of 148?

Prime factorization of 148 is 2 x 2 x 37 = 22 x 37.