# Factors of 161

Factors of 161 are 1, 7, 23, and 161

#### How to find factors of a number

 1.   Find factors of 161 using Division Method 2.   Find factors of 161 using Prime Factorization 3.   Find factors of 161 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 161

• Divide 161 by 1: 161 ÷ 1 : Remainder = 0
• Divide 161 by 7: 161 ÷ 7 : Remainder = 0
• Divide 161 by 23: 161 ÷ 23 : Remainder = 0
• Divide 161 by 161: 161 ÷ 161 : Remainder = 0

Hence, Factors of 161 are 1, 7, 23, and 161

#### 2. Steps to find factors of 161 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 161 using the division method, follow these steps:

• Step 1. Start dividing 161 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 161, which is 7. Divide 161 by 7 to obtain the quotient (23).
161 ÷ 7 = 23
• Step 3. Repeat step 1 with the obtained quotient (23).
23 ÷ 23 = 1

So, the prime factorization of 161 is, 161 = 7 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 161 as shown below:

So, the prime factorization of 161 is, 161 = 7 x 23.

#### 3. Find factors of 161 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 161 would be the two numbers which, when multiplied, give 161 as the result.

The following table represents the calculation of factors of 161 in pairs:

Factor Pair Pair Factorization
1 and 161 1 x 161 = 161
7 and 23 7 x 23 = 161

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 161. They are called negative pair factors.

Hence, the negative pairs of 161 would be ( -1 , -161 ) , ( -7 , -23 ) .

#### 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, 7, 23, 161 are exact divisors of 161.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 161 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 161.

• What is prime factorization of 161?

Prime factorization of 161 is 7 x 23.

• How do you find factors of a negative number? ( eg. -161 )?

Factors of -161 are -1, -7, -23, -161.

• What are the prime factors of 161?

The factors of 161 are 1, 7, 23, 161.
Prime factors of 161 are 7, 23.

• What are pair factors of 161?

The pair factors of 161 are (1,161), (7,23).

• What is the greatest prime factors of 161?

The greatest prime factor of 161 is 23.

• What are six multiples of 161?

First five multiples of 161 are 322, 483, 644, 805, 966, 1127.

• What are factors of 161?

Factors of 161 are 1, 7, 23, 161.

• Which is the smallest prime factor of 161?

Smallest prime factor of 161 is 7.

• Is 161 a whole number?

Yes 161 is a whole number.

#### Examples of Factors

Kevin has been asked to write 3 factor(s) of 161. Can you predict the answer?

3 factor(s) of 161 are 1, 7, 23.

Sammy is puzzled while calculating the prime factors of 161. Can you help him find them?

Factors of 161 are 1, 7, 23, 161.
Prime factors of 161 are 7, 23

What is prime factorization of 161?

Prime factorization of 161 is 7 x 23 = 7 x 23.

Ariel has been assigned the task to find the product of all the prime factors of 161. Can you help her?

Prime factors of 161 are 7, 23.
Hence, the product of prime factors of 161.

Can you help Rubel to find out the product of the even factors of 161?

Factors of 161 are 1, 7, 23, 161.
Even factors of 161 are 0.
Hence, product of even factors of 161 is; 0 = 0.

Joy wants to calculate mean of all the factors of 161. Help him in finding the mean of 161.

Factors of 161 are 1, 7, 23, 161.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 161 is 1 + 7 + 23 + 161 = 192.
Hence, the mean of factors of 161 is 192 ÷ 4 = 48.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 161? Help her in writing all the factors.

Positive factors are 1, 7, 23, 161.
Negative factors are -1, -7, -23, -161.