# Factors of 235

Factors of 235 are 1, 5, 47, and 235

#### How to find factors of a number

 1.   Find factors of 235 using Division Method 2.   Find factors of 235 using Prime Factorization 3.   Find factors of 235 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 235

• Divide 235 by 1: 235 ÷ 1 : Remainder = 0
• Divide 235 by 5: 235 ÷ 5 : Remainder = 0
• Divide 235 by 47: 235 ÷ 47 : Remainder = 0
• Divide 235 by 235: 235 ÷ 235 : Remainder = 0

Hence, Factors of 235 are 1, 5, 47, and 235

#### 2. Steps to find factors of 235 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 235 using the division method, follow these steps:

• Step 1. Start dividing 235 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 235, which is 5. Divide 235 by 5 to obtain the quotient (47).
235 ÷ 5 = 47
• Step 3. Repeat step 1 with the obtained quotient (47).
47 ÷ 47 = 1

So, the prime factorization of 235 is, 235 = 5 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 235 as shown below:

So, the prime factorization of 235 is, 235 = 5 x 47.

#### 3. Find factors of 235 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 235 would be the two numbers which, when multiplied, give 235 as the result.

The following table represents the calculation of factors of 235 in pairs:

Factor Pair Pair Factorization
1 and 235 1 x 235 = 235
5 and 47 5 x 47 = 235

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 235. They are called negative pair factors.

Hence, the negative pairs of 235 would be ( -1 , -235 ) , ( -5 , -47 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 235 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, 5, 47, 235 are exact divisors of 235.
• Factors of 235 are 1, 5, 47, 235. Each factor divides 235 without leaving a remainder.

• What are the prime factors of 235?

The factors of 235 are 1, 5, 47, 235.
Prime factors of 235 are 5, 47.

• What is the sum of all factors of 235?

The sum of all factors of 235 is 288.

• What are the pair factors of 235?

Pair factors of 235 are (1,235), (5,47).

• What two numbers make 235?

Two numbers that make 235 are 5 and 47.

• What are multiples of 235?

First five multiples of 235 are 470, 705, 940, 1175.

• Is 235 a perfect square?

No 235 is not a perfect square.

• Which is greatest factor of 235?

The greatest factor of 235 is 47.

• How do you factors of 235?

Factors of 235 are 1, 5, 47, 235.

• What are five multiples of 235?

First five multiples of 235 are 470, 705, 940, 1175, 1410.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 235?

Factors of 235 are 1, 5, 47, 235.
Even factors of 235 are 0.
Hence, product of even factors of 235 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 235? Help her in writing all the factors.

Positive factors are 1, 5, 47, 235.
Negative factors are -1, -5, -47, -235.

How many factors are there for 235?

Factors of 235 are 1, 5, 47, 235.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 235. Can you help him find them?

Factors of 235 are 1, 5, 47, 235.
Prime factors of 235 are 5, 47

Joey wants to write all the prime factors of 235 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 235 are 5, 47.
So in exponential form it can be written as 5 x 47.

What is prime factorization of 235?

Prime factorization of 235 is 5 x 47 = 5 x 47.

Can you help Rubel to find out the product of the even factors of 235?

Factors of 235 are 1, 5, 47, 235.
Even factors of 235 are 0.
Hence, product of even factors of 235 is; 0 = 0.