# Factors of 299

Factors of 299 are 1, 13, 23, and 299

#### How to find factors of a number

 1.   Find factors of 299 using Division Method 2.   Find factors of 299 using Prime Factorization 3.   Find factors of 299 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 299

• Divide 299 by 1: 299 ÷ 1 : Remainder = 0
• Divide 299 by 13: 299 ÷ 13 : Remainder = 0
• Divide 299 by 23: 299 ÷ 23 : Remainder = 0
• Divide 299 by 299: 299 ÷ 299 : Remainder = 0

Hence, Factors of 299 are 1, 13, 23, and 299

#### 2. Steps to find factors of 299 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 299 using the division method, follow these steps:

• Step 1. Start dividing 299 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 299, which is 13. Divide 299 by 13 to obtain the quotient (23).
299 ÷ 13 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
23 ÷ 23 = 1

So, the prime factorization of 299 is, 299 = 13 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 299 as shown below:

So, the prime factorization of 299 is, 299 = 13 x 23.

#### 3. Find factors of 299 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 299 would be the two numbers which, when multiplied, give 299 as the result.

The following table represents the calculation of factors of 299 in pairs:

Factor Pair Pair Factorization
1 and 299 1 x 299 = 299
13 and 23 13 x 23 = 299

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 299. They are called negative pair factors.

Hence, the negative pairs of 299 would be ( -1 , -299 ) , ( -13 , -23 ) .

#### 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 number is a factor of zero (0), since 299 x 0 = 0.
• 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, 13, 23, 299 are exact divisors of 299.
• Factors of 299 are 1, 13, 23, 299. Each factor divides 299 without leaving a remainder.

• What two numbers make 299?

Two numbers that make 299 are 13 and 23.

• What is prime factorization of 299?

Prime factorization of 299 is 13 x 23.

• Write some multiples of 299?

First five multiples of 299 are 598, 897, 1196, 1495.

• Which is the smallest prime factor of 299?

The smallest prime factor of 299 is 13.

• Is 299 a perfect square?

No 299 is not a perfect square.

• What is the sum of all factors of 299?

The sum of all factors of 299 is 336.

• What are factors of 299?

Factors of 299 are 1, 13, 23, 299.

• How do you find factors of a negative number? ( eg. -299 )?

Factors of -299 are -1, -13, -23, -299.

• Is 299 a whole number?

Yes 299 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 299. Help him in finding the mean of 299.

Factors of 299 are 1, 13, 23, 299.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 299 is 1 + 13 + 23 + 299 = 336.
Hence, the mean of factors of 299 is 336 ÷ 4 = 84.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 299? Help her in writing all the factors.

Positive factors are 1, 13, 23, 299.
Negative factors are -1, -13, -23, -299.

Joey wants to write all the prime factors of 299 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 299 are 13, 23.
So in exponential form it can be written as 13 x 23.

Kevin has been asked to write 3 factor(s) of 299. Can you predict the answer?

3 factor(s) of 299 are 1, 13, 23.

Sammy is puzzled while calculating the prime factors of 299. Can you help him find them?

Factors of 299 are 1, 13, 23, 299.
Prime factors of 299 are 13, 23

What is prime factorization of 299?

Prime factorization of 299 is 13 x 23 = 13 x 23.

Can you help Rubel to find out the product of the even factors of 299?

Factors of 299 are 1, 13, 23, 299.
Even factors of 299 are 0.
Hence, product of even factors of 299 is; 0 = 0.