# Factors of 368

Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, and 368

#### How to find factors of a number

 1.   Find factors of 368 using Division Method 2.   Find factors of 368 using Prime Factorization 3.   Find factors of 368 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 368

• Divide 368 by 1: 368 ÷ 1 : Remainder = 0
• Divide 368 by 2: 368 ÷ 2 : Remainder = 0
• Divide 368 by 4: 368 ÷ 4 : Remainder = 0
• Divide 368 by 8: 368 ÷ 8 : Remainder = 0
• Divide 368 by 16: 368 ÷ 16 : Remainder = 0
• Divide 368 by 23: 368 ÷ 23 : Remainder = 0
• Divide 368 by 46: 368 ÷ 46 : Remainder = 0
• Divide 368 by 92: 368 ÷ 92 : Remainder = 0
• Divide 368 by 184: 368 ÷ 184 : Remainder = 0
• Divide 368 by 368: 368 ÷ 368 : Remainder = 0

Hence, Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, and 368

#### 2. Steps to find factors of 368 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 368 using the division method, follow these steps:

• Step 1. Start dividing 368 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 368, which is 2. Divide 368 by 2 to obtain the quotient (184).
368 ÷ 2 = 184
• Step 3. Repeat step 1 with the obtained quotient (184).
184 ÷ 2 = 92
92 ÷ 2 = 46
46 ÷ 2 = 23
23 ÷ 23 = 1

So, the prime factorization of 368 is, 368 = 2 x 2 x 2 x 2 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 368 as shown below:

So, the prime factorization of 368 is, 368 = 2 x 2 x 2 x 2 x 23.

#### 3. Find factors of 368 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 368 would be the two numbers which, when multiplied, give 368 as the result.

The following table represents the calculation of factors of 368 in pairs:

Factor Pair Pair Factorization
1 and 368 1 x 368 = 368
2 and 184 2 x 184 = 368
4 and 92 4 x 92 = 368
8 and 46 8 x 46 = 368
16 and 23 16 x 23 = 368

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 368. They are called negative pair factors.

Hence, the negative pairs of 368 would be ( -1 , -368 ) , ( -2 , -184 ) , ( -4 , -92 ) , ( -8 , -46 ) and ( -16 , -23 ) .

#### 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. 368 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 368.
• Every number is a factor of zero (0), since 368 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, 2, 4, 8, 16, 23, 46, 92, 184, 368 are exact divisors of 368.
• Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. Each factor divides 368 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 16, 23, 46, 92, 184, 368 are all less than or equal to 368.

• What is prime factorization of 368?

Prime factorization of 368 is 2 x 2 x 2 x 2 x 23.

• How do you find factors of a negative number? ( eg. -368 )?

Factors of -368 are -1, -2, -4, -8, -16, -23, -46, -92, -184, -368.

• What are the prime factors of 368?

The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.
Prime factors of 368 are 2, 2, 2, 2, 23.

• What are pair factors of 368?

The pair factors of 368 are (1,368), (2,184), (4,92), (8,46), (16,23).

• What is the greatest prime factors of 368?

The greatest prime factor of 368 is 23.

• What are six multiples of 368?

First five multiples of 368 are 736, 1104, 1472, 1840, 2208, 2576.

• What are factors of 368?

Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.

• Which is the smallest prime factor of 368?

Smallest prime factor of 368 is 2.

• Is 368 a whole number?

Yes 368 is a whole number.

#### Examples of Factors

Kevin has been asked to write 9 factor(s) of 368. Can you predict the answer?

9 factor(s) of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184.

Sammy is puzzled while calculating the prime factors of 368. Can you help him find them?

Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.
Prime factors of 368 are 2, 2, 2, 2, 23

What is prime factorization of 368?

Prime factorization of 368 is 2 x 2 x 2 x 2 x 23 = 24 x 23.

Ariel has been assigned the task to find the product of all the prime factors of 368. Can you help her?

Prime factors of 368 are 2, 2, 2, 2, 23.
Hence, the product of prime factors of 46.

Can you help Rubel to find out the product of the even factors of 368?

Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.
Even factors of 368 are 2, 4, 8, 16, 46, 92, 184, 368.
Hence, product of even factors of 368 is; 2 x 4 x 8 x 16 x 46 x 92 x 184 x 368 = 293434556416.

Joy wants to calculate mean of all the factors of 368. Help him in finding the mean of 368.

Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 368 is 1 + 2 + 4 + 8 + 16 + 23 + 46 + 92 + 184 + 368 = 744.
Hence, the mean of factors of 368 is 744 ÷ 10 = 74.40.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 368? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.
Negative factors are -1, -2, -4, -8, -16, -23, -46, -92, -184, -368.