Factors of 137

2. Steps to find factors of 137 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 137 using the division method, follow these steps:

• Step 1. Start dividing 137 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 137, which is 137. Divide 137 by 137 to obtain the quotient (1).
  137 ÷ 137 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 137 is, 137 = 137.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 137 as shown below:

So, the prime factorization of 137 is, 137 = 137.

3. Find factors of 137 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 137 would be the two numbers which, when multiplied, give 137 as the result.

The following table represents the calculation of factors of 137 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 137. They are called negative pair factors.

Hence, the negative pairs of 137 would be ( -1 , -137 ) , .

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, 137 are exact divisors of 137.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 137 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 137.

Frequently Asked Questions

• What two numbers make 137?

  Two numbers that make 137 are 137 and 1.

• What is prime factorization of 137?

  Prime factorization of 137 is 137.

• Write some multiples of 137?

  First five multiples of 137 are 274, 411, 548, 685.

• Which is the smallest prime factor of 137?

  The smallest prime factor of 137 is 137.

• Is 137 a perfect square?

  No 137 is not a perfect square.

• What is the sum of all factors of 137?

  The sum of all factors of 137 is 138.

• What are factors of 137?

  Factors of 137 are 1, 137.

• How do you find factors of a negative number? ( eg. -137 )?

  Factors of -137 are -1, -137.

• Is 137 a whole number?

  Yes 137 is a whole number.

Examples of Factors