# Factors of 155

Factors of 155 are 1, 5, 31, and 155

#### How to find factors of a number

 1.   Find factors of 155 using Division Method 2.   Find factors of 155 using Prime Factorization 3.   Find factors of 155 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 155

• Divide 155 by 1: 155 ÷ 1 : Remainder = 0
• Divide 155 by 5: 155 ÷ 5 : Remainder = 0
• Divide 155 by 31: 155 ÷ 31 : Remainder = 0
• Divide 155 by 155: 155 ÷ 155 : Remainder = 0

Hence, Factors of 155 are 1, 5, 31, and 155

#### 2. Steps to find factors of 155 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 155 using the division method, follow these steps:

• Step 1. Start dividing 155 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 155, which is 5. Divide 155 by 5 to obtain the quotient (31).
155 ÷ 5 = 31
• Step 3. Repeat step 1 with the obtained quotient (31).
31 ÷ 31 = 1

So, the prime factorization of 155 is, 155 = 5 x 31.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 155 as shown below:

So, the prime factorization of 155 is, 155 = 5 x 31.

#### 3. Find factors of 155 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 155 would be the two numbers which, when multiplied, give 155 as the result.

The following table represents the calculation of factors of 155 in pairs:

Factor Pair Pair Factorization
1 and 155 1 x 155 = 155
5 and 31 5 x 31 = 155

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 155. They are called negative pair factors.

Hence, the negative pairs of 155 would be ( -1 , -155 ) , ( -5 , -31 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 155 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 5, 31, 155 are exact divisors of 155.
• Factors of 155 are 1, 5, 31, 155. Each factor divides 155 without leaving a remainder.

• What two numbers make 155?

Two numbers that make 155 are 5 and 31.

• What is prime factorization of 155?

Prime factorization of 155 is 5 x 31.

• Write some multiples of 155?

First five multiples of 155 are 310, 465, 620, 775.

• Which is the smallest prime factor of 155?

The smallest prime factor of 155 is 5.

• Is 155 a perfect square?

No 155 is not a perfect square.

• What is the sum of all factors of 155?

The sum of all factors of 155 is 192.

• What are factors of 155?

Factors of 155 are 1, 5, 31, 155.

• How do you find factors of a negative number? ( eg. -155 )?

Factors of -155 are -1, -5, -31, -155.

• Is 155 a whole number?

Yes 155 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 155. Help him in finding the mean of 155.

Factors of 155 are 1, 5, 31, 155.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 155 is 1 + 5 + 31 + 155 = 192.
Hence, the mean of factors of 155 is 192 ÷ 4 = 48.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 155? Help her in writing all the factors.

Positive factors are 1, 5, 31, 155.
Negative factors are -1, -5, -31, -155.

Joey wants to write all the prime factors of 155 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 155 are 5, 31.
So in exponential form it can be written as 5 x 31.

Kevin has been asked to write 3 factor(s) of 155. Can you predict the answer?

3 factor(s) of 155 are 1, 5, 31.

Sammy is puzzled while calculating the prime factors of 155. Can you help him find them?

Factors of 155 are 1, 5, 31, 155.
Prime factors of 155 are 5, 31

What is prime factorization of 155?

Prime factorization of 155 is 5 x 31 = 5 x 31.

Can you help Rubel to find out the product of the even factors of 155?

Factors of 155 are 1, 5, 31, 155.
Even factors of 155 are 0.
Hence, product of even factors of 155 is; 0 = 0.