# Factors of 137

Factors of 137 are 1 and 137

#### How to find factors of a number

 1.   Find factors of 137 using Division Method 2.   Find factors of 137 using Prime Factorization 3.   Find factors of 137 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 137

• Divide 137 by 1: 137 ÷ 1 : Remainder = 0
• Divide 137 by 137: 137 ÷ 137 : Remainder = 0

Hence, Factors of 137 are 1 and 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:

Factor Pair Pair Factorization
1 and 137 1 x 137 = 137

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.

• 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

Joy wants to calculate mean of all the factors of 137. Help him in finding the mean of 137.

Factors of 137 are 1, 137.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 137 is 1 + 137 = 138.
Hence, the mean of factors of 137 is 138 ÷ 2 = 69.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 137? Help her in writing all the factors.

Positive factors are 1, 137.
Negative factors are -1, -137.

Joey wants to write all the prime factors of 137 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 137 are 137.
So in exponential form it can be written as 137.

Kevin has been asked to write 1 factor(s) of 137. Can you predict the answer?

1 factor(s) of 137 is 1.

Sammy is puzzled while calculating the prime factors of 137. Can you help him find them?

Factors of 137 are 1, 137.
Prime factors of 137 are 137

What is prime factorization of 137?

Prime factorization of 137 is 137 = 137.

Can you help Rubel to find out the product of the even factors of 137?

Factors of 137 are 1, 137.
Even factors of 137 are 0.
Hence, product of even factors of 137 is; 0 = 0.