# Factors of 141

Factors of 141 are 1, 3, 47, and 141

#### How to find factors of a number

 1.   Find factors of 141 using Division Method 2.   Find factors of 141 using Prime Factorization 3.   Find factors of 141 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 141

• Divide 141 by 1: 141 ÷ 1 : Remainder = 0
• Divide 141 by 3: 141 ÷ 3 : Remainder = 0
• Divide 141 by 47: 141 ÷ 47 : Remainder = 0
• Divide 141 by 141: 141 ÷ 141 : Remainder = 0

Hence, Factors of 141 are 1, 3, 47, and 141

#### 2. Steps to find factors of 141 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 141 using the division method, follow these steps:

• Step 1. Start dividing 141 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 141, which is 3. Divide 141 by 3 to obtain the quotient (47).
141 ÷ 3 = 47
• Step 3. Repeat step 1 with the obtained quotient (47).
47 ÷ 47 = 1

So, the prime factorization of 141 is, 141 = 3 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 141 as shown below:

So, the prime factorization of 141 is, 141 = 3 x 47.

#### 3. Find factors of 141 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 141 would be the two numbers which, when multiplied, give 141 as the result.

The following table represents the calculation of factors of 141 in pairs:

Factor Pair Pair Factorization
1 and 141 1 x 141 = 141
3 and 47 3 x 47 = 141

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 141. They are called negative pair factors.

Hence, the negative pairs of 141 would be ( -1 , -141 ) , ( -3 , -47 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 47, 141 are exact divisors of 141.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 141 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 141.

• How do you find factors of a negative number? ( eg. -141 )?

Factors of -141 are -1, -3, -47, -141.

• What is the sum of all factors of 141?

The sum of all factors of 141 is 192.

• What is prime factorization of 141?

Prime factorization of 141 is 3 x 47.

• What are the pair factors of 141?

Pair factors of 141 are (1,141), (3,47).

• What are six multiples of 141?

First five multiples of 141 are 282, 423, 564, 705, 846, 987.

• Is 141 a whole number?

Yes 141 is a whole number.

• Which is the smallest prime factor of 141?

Smallest prime factor of 141 is 3.

• What are five multiples of 141?

First five multiples of 141 are 282, 423, 564, 705, 846.

• Write all factors of 141?

Factors of 141 are 1, 3, 47, 141.

#### Examples of Factors

Joey wants to write all the prime factors of 141 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 141 are 3, 47.
So in exponential form it can be written as 3 x 47.

How many factors are there for 141?

Factors of 141 are 1, 3, 47, 141.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 141. Can you predict the answer?

3 factor(s) of 141 are 1, 3, 47.

Sammy is puzzled while calculating the prime factors of 141. Can you help him find them?

Factors of 141 are 1, 3, 47, 141.
Prime factors of 141 are 3, 47

What is prime factorization of 141?

Prime factorization of 141 is 3 x 47 = 3 x 47.

Ariel has been assigned the task to find the product of all the prime factors of 141. Can you help her?

Prime factors of 141 are 3, 47.
Hence, the product of prime factors of 141.

Can you help Rubel to find out the product of the even factors of 141?

Factors of 141 are 1, 3, 47, 141.
Even factors of 141 are 0.
Hence, product of even factors of 141 is; 0 = 0.