# Factors of 337

Factors of 337 are 1 and 337

#### How to find factors of a number

 1.   Find factors of 337 using Division Method 2.   Find factors of 337 using Prime Factorization 3.   Find factors of 337 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 337

• Divide 337 by 1: 337 ÷ 1 : Remainder = 0
• Divide 337 by 337: 337 ÷ 337 : Remainder = 0

Hence, Factors of 337 are 1 and 337

#### 2. Steps to find factors of 337 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 337 using the division method, follow these steps:

• Step 1. Start dividing 337 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 337, which is 337. Divide 337 by 337 to obtain the quotient (1).
337 ÷ 337 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 337 is, 337 = 337.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 337 as shown below:

So, the prime factorization of 337 is, 337 = 337.

#### 3. Find factors of 337 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 337 would be the two numbers which, when multiplied, give 337 as the result.

The following table represents the calculation of factors of 337 in pairs:

Factor Pair Pair Factorization
1 and 337 1 x 337 = 337

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 337. They are called negative pair factors.

Hence, the negative pairs of 337 would be ( -1 , -337 ) , .

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 337 are exact divisors of 337.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 337 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 337.

• Is 337 a perfect square?

No 337 is not a perfect square.

• What are factors of 337?

Factors of 337 are 1, 337.

• Which is greatest factor of 337?

The greatest factor of 337 is 1.

• What is the sum of all factors of 337?

The sum of all factors of 337 is 338.

• What are multiples of 337?

First five multiples of 337 are 674, 1011, 1348, 1685.

• What is the greatest prime factors of 337?

The greatest prime factor of 337 is 337.

• What are six multiples of 337?

First five multiples of 337 are 674, 1011, 1348, 1685, 2022, 2359.

• What is prime factorization of 337?

Prime factorization of 337 is 337.

• Is 337 a whole number?

Yes 337 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 337? Help her in writing all the factors.

Positive factors are 1, 337.
Negative factors are -1, -337.

Can you help Sammy find out the product of the odd factors of 337?

Factors of 337 are 1, 337.
Odd factors of 337 are 1, 337.
Hence product of odd factors of 337 is; 1 x 337 = 337.

Joey wants to write all the prime factors of 337 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 337 are 337.
So in exponential form it can be written as 337.

How many factors are there for 337?

Factors of 337 are 1, 337.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 337. Can you predict the answer?

1 factor(s) of 337 is 1.

Sammy is puzzled while calculating the prime factors of 337. Can you help him find them?

Factors of 337 are 1, 337.
Prime factors of 337 are 337

What is prime factorization of 337?

Prime factorization of 337 is 337 = 337.