Factors of 537

2. Steps to find factors of 537 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 537 using the division method, follow these steps:

• Step 1. Start dividing 537 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 537, which is 3. Divide 537 by 3 to obtain the quotient (179).
  537 ÷ 3 = 179
• Step 3. Repeat step 1 with the obtained quotient (179).
  179 ÷ 179 = 1

So, the prime factorization of 537 is, 537 = 3 x 179.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 537 as shown below:

So, the prime factorization of 537 is, 537 = 3 x 179.

3. Find factors of 537 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 537 would be the two numbers which, when multiplied, give 537 as the result.

The following table represents the calculation of factors of 537 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 537. They are called negative pair factors.

Hence, the negative pairs of 537 would be ( -1 , -537 ) , ( -3 , -179 ) .

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 factor of a number is an exact divisor of that number, example 1, 3, 179, 537 are exact divisors of 537.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 537 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 537.

Frequently Asked Questions

• How do you find factors of a negative number? ( eg. -537 )?

  Factors of -537 are -1, -3, -179, -537.

• What is the sum of all factors of 537?

  The sum of all factors of 537 is 720.

• What is prime factorization of 537?

  Prime factorization of 537 is 3 x 179.

• What are the pair factors of 537?

  Pair factors of 537 are (1,537), (3,179).

• What are six multiples of 537?

  First five multiples of 537 are 1074, 1611, 2148, 2685, 3222, 3759.

• Is 537 a whole number?

  Yes 537 is a whole number.

• Which is the smallest prime factor of 537?

  Smallest prime factor of 537 is 3.

• What are five multiples of 537?

  First five multiples of 537 are 1074, 1611, 2148, 2685, 3222.

• Write all factors of 537?

  Factors of 537 are 1, 3, 179, 537.

Examples of Factors