# Factors of 542

Factors of 542 are 1, 2, 271, and 542

#### How to find factors of a number

 1.   Find factors of 542 using Division Method 2.   Find factors of 542 using Prime Factorization 3.   Find factors of 542 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 542

• Divide 542 by 1: 542 ÷ 1 : Remainder = 0
• Divide 542 by 2: 542 ÷ 2 : Remainder = 0
• Divide 542 by 271: 542 ÷ 271 : Remainder = 0
• Divide 542 by 542: 542 ÷ 542 : Remainder = 0

Hence, Factors of 542 are 1, 2, 271, and 542

#### 2. Steps to find factors of 542 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 542 using the division method, follow these steps:

• Step 1. Start dividing 542 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 542, which is 2. Divide 542 by 2 to obtain the quotient (271).
542 ÷ 2 = 271
• Step 3. Repeat step 1 with the obtained quotient (271).
271 ÷ 271 = 1

So, the prime factorization of 542 is, 542 = 2 x 271.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 542 as shown below:

So, the prime factorization of 542 is, 542 = 2 x 271.

#### 3. Find factors of 542 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 542 would be the two numbers which, when multiplied, give 542 as the result.

The following table represents the calculation of factors of 542 in pairs:

Factor Pair Pair Factorization
1 and 542 1 x 542 = 542
2 and 271 2 x 271 = 542

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 542. They are called negative pair factors.

Hence, the negative pairs of 542 would be ( -1 , -542 ) , ( -2 , -271 ) .

#### 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. 542 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, 271, 542 are exact divisors of 542.
• 1 is a factor of every number. Eg. 1 is a factor of 542.
• Every number is a factor of zero (0), since 542 x 0 = 0.

• What two numbers make 542?

Two numbers that make 542 are 2 and 271.

• What is prime factorization of 542?

Prime factorization of 542 is 2 x 271.

• Write some multiples of 542?

First five multiples of 542 are 1084, 1626, 2168, 2710.

• Which is the smallest prime factor of 542?

The smallest prime factor of 542 is 2.

• Is 542 a perfect square?

No 542 is not a perfect square.

• What is the sum of all factors of 542?

The sum of all factors of 542 is 816.

• What are factors of 542?

Factors of 542 are 1, 2, 271, 542.

• How do you find factors of a negative number? ( eg. -542 )?

Factors of -542 are -1, -2, -271, -542.

• Is 542 a whole number?

Yes 542 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 542. Help him in finding the mean of 542.

Factors of 542 are 1, 2, 271, 542.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 542 is 1 + 2 + 271 + 542 = 816.
Hence, the mean of factors of 542 is 816 ÷ 4 = 204.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 542? Help her in writing all the factors.

Positive factors are 1, 2, 271, 542.
Negative factors are -1, -2, -271, -542.

Joey wants to write all the prime factors of 542 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 542 are 2, 271.
So in exponential form it can be written as 2 x 271.

Kevin has been asked to write 3 factor(s) of 542. Can you predict the answer?

3 factor(s) of 542 are 1, 2, 271.

Sammy is puzzled while calculating the prime factors of 542. Can you help him find them?

Factors of 542 are 1, 2, 271, 542.
Prime factors of 542 are 2, 271

What is prime factorization of 542?

Prime factorization of 542 is 2 x 271 = 2 x 271.

Can you help Rubel to find out the product of the even factors of 542?

Factors of 542 are 1, 2, 271, 542.
Even factors of 542 are 2, 542.
Hence, product of even factors of 542 is; 2 x 542 = 1084.