# Factors of 334

Factors of 334 are 1, 2, 167, and 334

#### How to find factors of a number

 1.   Find factors of 334 using Division Method 2.   Find factors of 334 using Prime Factorization 3.   Find factors of 334 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 334

• Divide 334 by 1: 334 ÷ 1 : Remainder = 0
• Divide 334 by 2: 334 ÷ 2 : Remainder = 0
• Divide 334 by 167: 334 ÷ 167 : Remainder = 0
• Divide 334 by 334: 334 ÷ 334 : Remainder = 0

Hence, Factors of 334 are 1, 2, 167, and 334

#### 2. Steps to find factors of 334 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 334 using the division method, follow these steps:

• Step 1. Start dividing 334 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 334, which is 2. Divide 334 by 2 to obtain the quotient (167).
334 ÷ 2 = 167
• Step 3. Repeat step 1 with the obtained quotient (167).
167 ÷ 167 = 1

So, the prime factorization of 334 is, 334 = 2 x 167.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 334 as shown below:

So, the prime factorization of 334 is, 334 = 2 x 167.

#### 3. Find factors of 334 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 334 would be the two numbers which, when multiplied, give 334 as the result.

The following table represents the calculation of factors of 334 in pairs:

Factor Pair Pair Factorization
1 and 334 1 x 334 = 334
2 and 167 2 x 167 = 334

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 334. They are called negative pair factors.

Hence, the negative pairs of 334 would be ( -1 , -334 ) , ( -2 , -167 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 334 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, 167, 334 are exact divisors of 334.
• 1 is a factor of every number. Eg. 1 is a factor of 334.
• Every number is a factor of zero (0), since 334 x 0 = 0.

• What are the prime factors of 334?

The factors of 334 are 1, 2, 167, 334.
Prime factors of 334 are 2, 167.

• What is the sum of all factors of 334?

The sum of all factors of 334 is 504.

• What are the pair factors of 334?

Pair factors of 334 are (1,334), (2,167).

• What two numbers make 334?

Two numbers that make 334 are 2 and 167.

• What are multiples of 334?

First five multiples of 334 are 668, 1002, 1336, 1670.

• Is 334 a perfect square?

No 334 is not a perfect square.

• Which is greatest factor of 334?

The greatest factor of 334 is 167.

• How do you factors of 334?

Factors of 334 are 1, 2, 167, 334.

• What are five multiples of 334?

First five multiples of 334 are 668, 1002, 1336, 1670, 2004.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 334?

Factors of 334 are 1, 2, 167, 334.
Even factors of 334 are 2, 334.
Hence, product of even factors of 334 is; 2 x 334 = 668.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 334? Help her in writing all the factors.

Positive factors are 1, 2, 167, 334.
Negative factors are -1, -2, -167, -334.

How many factors are there for 334?

Factors of 334 are 1, 2, 167, 334.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 334. Can you help him find them?

Factors of 334 are 1, 2, 167, 334.
Prime factors of 334 are 2, 167

Joey wants to write all the prime factors of 334 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 334 are 2, 167.
So in exponential form it can be written as 2 x 167.

What is prime factorization of 334?

Prime factorization of 334 is 2 x 167 = 2 x 167.

Can you help Rubel to find out the product of the even factors of 334?

Factors of 334 are 1, 2, 167, 334.
Even factors of 334 are 2, 334.
Hence, product of even factors of 334 is; 2 x 334 = 668.