# Factors of 349

Factors of 349 are 1 and 349

#### How to find factors of a number

 1.   Find factors of 349 using Division Method 2.   Find factors of 349 using Prime Factorization 3.   Find factors of 349 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 349

• Divide 349 by 1: 349 ÷ 1 : Remainder = 0
• Divide 349 by 349: 349 ÷ 349 : Remainder = 0

Hence, Factors of 349 are 1 and 349

#### 2. Steps to find factors of 349 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 349 using the division method, follow these steps:

• Step 1. Start dividing 349 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 349, which is 349. Divide 349 by 349 to obtain the quotient (1).
349 ÷ 349 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 349 is, 349 = 349.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 349 as shown below:

So, the prime factorization of 349 is, 349 = 349.

#### 3. Find factors of 349 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 349 would be the two numbers which, when multiplied, give 349 as the result.

The following table represents the calculation of factors of 349 in pairs:

Factor Pair Pair Factorization
1 and 349 1 x 349 = 349

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 349. They are called negative pair factors.

Hence, the negative pairs of 349 would be ( -1 , -349 ) , .

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 349 are exact divisors of 349.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 349 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 349.

• Which is the smallest prime factor of 349?

The smallest prime factor of 349 is 349.

• Is 349 a whole number?

Yes 349 is a whole number.

• What are the prime factors of 349?

The factors of 349 are 1, 349.
Prime factors of 349 are 349.

• What two numbers make 349?

Two numbers that make 349 are 349 and 1.

• What are multiples of 349?

First five multiples of 349 are 698, 1047, 1396, 1745.

• What is the sum of all factors of 349?

The sum of all factors of 349 is 350.

• What are five multiples of 349?

First five multiples of 349 are 698, 1047, 1396, 1745, 2094.

• Is 349 a perfect square?

No 349 is not a perfect square.

• What is the greatest prime factors of 349?

The greatest prime factor of 349 is 349.

#### Examples of Factors

How many factors are there for 349?

Factors of 349 are 1, 349.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 349. Can you predict the answer?

1 factor(s) of 349 is 1.

Sammy is puzzled while calculating the prime factors of 349. Can you help him find them?

Factors of 349 are 1, 349.
Prime factors of 349 are 349

What is prime factorization of 349?

Prime factorization of 349 is 349 = 349.

Ariel has been assigned the task to find the product of all the prime factors of 349. Can you help her?

Prime factors of 349 are 349.
Hence, the product of prime factors of 349.

Can you help Rubel to find out the product of the even factors of 349?

Factors of 349 are 1, 349.
Even factors of 349 are 0.
Hence, product of even factors of 349 is; 0 = 0.

Joy wants to calculate mean of all the factors of 349. Help him in finding the mean of 349.

Factors of 349 are 1, 349.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 349 is 1 + 349 = 350.
Hence, the mean of factors of 349 is 350 ÷ 2 = 175.00.