Factors of 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:

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.

Frequently Asked Questions

• 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