# Factors of 142

Factors of 142 are 1, 2, 71, and 142

#### How to find factors of a number

 1.   Find factors of 142 using Division Method 2.   Find factors of 142 using Prime Factorization 3.   Find factors of 142 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 142

• Divide 142 by 1: 142 ÷ 1 : Remainder = 0
• Divide 142 by 2: 142 ÷ 2 : Remainder = 0
• Divide 142 by 71: 142 ÷ 71 : Remainder = 0
• Divide 142 by 142: 142 ÷ 142 : Remainder = 0

Hence, Factors of 142 are 1, 2, 71, and 142

#### 2. Steps to find factors of 142 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 142 using the division method, follow these steps:

• Step 1. Start dividing 142 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 142, which is 2. Divide 142 by 2 to obtain the quotient (71).
142 ÷ 2 = 71
• Step 3. Repeat step 1 with the obtained quotient (71).
71 ÷ 71 = 1

So, the prime factorization of 142 is, 142 = 2 x 71.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 142 as shown below:

So, the prime factorization of 142 is, 142 = 2 x 71.

#### 3. Find factors of 142 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 142 would be the two numbers which, when multiplied, give 142 as the result.

The following table represents the calculation of factors of 142 in pairs:

Factor Pair Pair Factorization
1 and 142 1 x 142 = 142
2 and 71 2 x 71 = 142

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 142. They are called negative pair factors.

Hence, the negative pairs of 142 would be ( -1 , -142 ) , ( -2 , -71 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 142 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, 71, 142 are exact divisors of 142.
• 1 is a factor of every number. Eg. 1 is a factor of 142.
• Every number is a factor of zero (0), since 142 x 0 = 0.

• Which is the smallest prime factor of 142?

The smallest prime factor of 142 is 2.

• Is 142 a whole number?

Yes 142 is a whole number.

• What are the prime factors of 142?

The factors of 142 are 1, 2, 71, 142.
Prime factors of 142 are 2, 71.

• What two numbers make 142?

Two numbers that make 142 are 2 and 71.

• What are multiples of 142?

First five multiples of 142 are 284, 426, 568, 710.

• What is the sum of all factors of 142?

The sum of all factors of 142 is 216.

• What are five multiples of 142?

First five multiples of 142 are 284, 426, 568, 710, 852.

• Is 142 a perfect square?

No 142 is not a perfect square.

• What is the greatest prime factors of 142?

The greatest prime factor of 142 is 71.

#### Examples of Factors

How many factors are there for 142?

Factors of 142 are 1, 2, 71, 142.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 142. Can you predict the answer?

3 factor(s) of 142 are 1, 2, 71.

Sammy is puzzled while calculating the prime factors of 142. Can you help him find them?

Factors of 142 are 1, 2, 71, 142.
Prime factors of 142 are 2, 71

What is prime factorization of 142?

Prime factorization of 142 is 2 x 71 = 2 x 71.

Ariel has been assigned the task to find the product of all the prime factors of 142. Can you help her?

Prime factors of 142 are 2, 71.
Hence, the product of prime factors of 142.

Can you help Rubel to find out the product of the even factors of 142?

Factors of 142 are 1, 2, 71, 142.
Even factors of 142 are 2, 142.
Hence, product of even factors of 142 is; 2 x 142 = 284.

Joy wants to calculate mean of all the factors of 142. Help him in finding the mean of 142.

Factors of 142 are 1, 2, 71, 142.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 142 is 1 + 2 + 71 + 142 = 216.
Hence, the mean of factors of 142 is 216 ÷ 4 = 54.00.