# Factors of 278

Factors of 278 are 1, 2, 139, and 278

#### How to find factors of a number

 1.   Find factors of 278 using Division Method 2.   Find factors of 278 using Prime Factorization 3.   Find factors of 278 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 278

• Divide 278 by 1: 278 ÷ 1 : Remainder = 0
• Divide 278 by 2: 278 ÷ 2 : Remainder = 0
• Divide 278 by 139: 278 ÷ 139 : Remainder = 0
• Divide 278 by 278: 278 ÷ 278 : Remainder = 0

Hence, Factors of 278 are 1, 2, 139, and 278

#### 2. Steps to find factors of 278 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 278 using the division method, follow these steps:

• Step 1. Start dividing 278 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 278, which is 2. Divide 278 by 2 to obtain the quotient (139).
278 ÷ 2 = 139
• Step 3. Repeat step 1 with the obtained quotient (139).
139 ÷ 139 = 1

So, the prime factorization of 278 is, 278 = 2 x 139.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 278 as shown below:

So, the prime factorization of 278 is, 278 = 2 x 139.

#### 3. Find factors of 278 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 278 would be the two numbers which, when multiplied, give 278 as the result.

The following table represents the calculation of factors of 278 in pairs:

Factor Pair Pair Factorization
1 and 278 1 x 278 = 278
2 and 139 2 x 139 = 278

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 278. They are called negative pair factors.

Hence, the negative pairs of 278 would be ( -1 , -278 ) , ( -2 , -139 ) .

#### 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. 278 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, 139, 278 are exact divisors of 278.
• 1 is a factor of every number. Eg. 1 is a factor of 278.
• Every number is a factor of zero (0), since 278 x 0 = 0.

• What is prime factorization of 278?

Prime factorization of 278 is 2 x 139.

• How do you find factors of a negative number? ( eg. -278 )?

Factors of -278 are -1, -2, -139, -278.

• What are the prime factors of 278?

The factors of 278 are 1, 2, 139, 278.
Prime factors of 278 are 2, 139.

• What are pair factors of 278?

The pair factors of 278 are (1,278), (2,139).

• What is the greatest prime factors of 278?

The greatest prime factor of 278 is 139.

• What are six multiples of 278?

First five multiples of 278 are 556, 834, 1112, 1390, 1668, 1946.

• What are factors of 278?

Factors of 278 are 1, 2, 139, 278.

• Which is the smallest prime factor of 278?

Smallest prime factor of 278 is 2.

• Is 278 a whole number?

Yes 278 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 278. Can you predict the answer?

3 factor(s) of 278 are 1, 2, 139.

Sammy is puzzled while calculating the prime factors of 278. Can you help him find them?

Factors of 278 are 1, 2, 139, 278.
Prime factors of 278 are 2, 139

What is prime factorization of 278?

Prime factorization of 278 is 2 x 139 = 2 x 139.

Ariel has been assigned the task to find the product of all the prime factors of 278. Can you help her?

Prime factors of 278 are 2, 139.
Hence, the product of prime factors of 278.

Can you help Rubel to find out the product of the even factors of 278?

Factors of 278 are 1, 2, 139, 278.
Even factors of 278 are 2, 278.
Hence, product of even factors of 278 is; 2 x 278 = 556.

Joy wants to calculate mean of all the factors of 278. Help him in finding the mean of 278.

Factors of 278 are 1, 2, 139, 278.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 278 is 1 + 2 + 139 + 278 = 420.
Hence, the mean of factors of 278 is 420 ÷ 4 = 105.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 278? Help her in writing all the factors.

Positive factors are 1, 2, 139, 278.
Negative factors are -1, -2, -139, -278.