# Factors of 367

Factors of 367 are 1 and 367

#### How to find factors of a number

 1.   Find factors of 367 using Division Method 2.   Find factors of 367 using Prime Factorization 3.   Find factors of 367 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 367

• Divide 367 by 1: 367 ÷ 1 : Remainder = 0
• Divide 367 by 367: 367 ÷ 367 : Remainder = 0

Hence, Factors of 367 are 1 and 367

#### 2. Steps to find factors of 367 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 367 using the division method, follow these steps:

• Step 1. Start dividing 367 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 367, which is 367. Divide 367 by 367 to obtain the quotient (1).
367 ÷ 367 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 367 is, 367 = 367.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 367 as shown below:

So, the prime factorization of 367 is, 367 = 367.

#### 3. Find factors of 367 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 367 would be the two numbers which, when multiplied, give 367 as the result.

The following table represents the calculation of factors of 367 in pairs:

Factor Pair Pair Factorization
1 and 367 1 x 367 = 367

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 367. They are called negative pair factors.

Hence, the negative pairs of 367 would be ( -1 , -367 ) , .

#### 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 number is a factor of zero (0), since 367 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, 367 are exact divisors of 367.
• Factors of 367 are 1, 367. Each factor divides 367 without leaving a remainder.

• Which is the smallest prime factor of 367?

The smallest prime factor of 367 is 367.

• Is 367 a whole number?

Yes 367 is a whole number.

• What are the prime factors of 367?

The factors of 367 are 1, 367.
Prime factors of 367 are 367.

• What two numbers make 367?

Two numbers that make 367 are 367 and 1.

• What are multiples of 367?

First five multiples of 367 are 734, 1101, 1468, 1835.

• What is the sum of all factors of 367?

The sum of all factors of 367 is 368.

• What are five multiples of 367?

First five multiples of 367 are 734, 1101, 1468, 1835, 2202.

• Is 367 a perfect square?

No 367 is not a perfect square.

• What is the greatest prime factors of 367?

The greatest prime factor of 367 is 367.

#### Examples of Factors

How many factors are there for 367?

Factors of 367 are 1, 367.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 367. Can you predict the answer?

1 factor(s) of 367 is 1.

Sammy is puzzled while calculating the prime factors of 367. Can you help him find them?

Factors of 367 are 1, 367.
Prime factors of 367 are 367

What is prime factorization of 367?

Prime factorization of 367 is 367 = 367.

Ariel has been assigned the task to find the product of all the prime factors of 367. Can you help her?

Prime factors of 367 are 367.
Hence, the product of prime factors of 367.

Can you help Rubel to find out the product of the even factors of 367?

Factors of 367 are 1, 367.
Even factors of 367 are 0.
Hence, product of even factors of 367 is; 0 = 0.

Joy wants to calculate mean of all the factors of 367. Help him in finding the mean of 367.

Factors of 367 are 1, 367.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 367 is 1 + 367 = 368.
Hence, the mean of factors of 367 is 368 ÷ 2 = 184.00.