# Factors of 555

Factors of 555 are 1, 3, 5, 15, 37, 111, 185, and 555

#### How to find factors of a number

 1.   Find factors of 555 using Division Method 2.   Find factors of 555 using Prime Factorization 3.   Find factors of 555 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 555

• Divide 555 by 1: 555 ÷ 1 : Remainder = 0
• Divide 555 by 3: 555 ÷ 3 : Remainder = 0
• Divide 555 by 5: 555 ÷ 5 : Remainder = 0
• Divide 555 by 15: 555 ÷ 15 : Remainder = 0
• Divide 555 by 37: 555 ÷ 37 : Remainder = 0
• Divide 555 by 111: 555 ÷ 111 : Remainder = 0
• Divide 555 by 185: 555 ÷ 185 : Remainder = 0
• Divide 555 by 555: 555 ÷ 555 : Remainder = 0

Hence, Factors of 555 are 1, 3, 5, 15, 37, 111, 185, and 555

#### 2. Steps to find factors of 555 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 555 using the division method, follow these steps:

• Step 1. Start dividing 555 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 555, which is 3. Divide 555 by 3 to obtain the quotient (185).
555 ÷ 3 = 185
• Step 3. Repeat step 1 with the obtained quotient (185).
185 ÷ 5 = 37
37 ÷ 37 = 1

So, the prime factorization of 555 is, 555 = 3 x 5 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 555 as shown below:

So, the prime factorization of 555 is, 555 = 3 x 5 x 37.

#### 3. Find factors of 555 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 555 would be the two numbers which, when multiplied, give 555 as the result.

The following table represents the calculation of factors of 555 in pairs:

Factor Pair Pair Factorization
1 and 555 1 x 555 = 555
3 and 185 3 x 185 = 555
5 and 111 5 x 111 = 555
15 and 37 15 x 37 = 555

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 555. They are called negative pair factors.

Hence, the negative pairs of 555 would be ( -1 , -555 ) , ( -3 , -185 ) , ( -5 , -111 ) and ( -15 , -37 ) .

#### 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 555 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, 3, 5, 15, 37, 111, 185, 555 are exact divisors of 555.
• Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. Each factor divides 555 without leaving a remainder.

• How do you find factors of a negative number? ( eg. -555 )?

Factors of -555 are -1, -3, -5, -15, -37, -111, -185, -555.

• What is the sum of all factors of 555?

The sum of all factors of 555 is 912.

• What is prime factorization of 555?

Prime factorization of 555 is 3 x 5 x 37.

• What are the pair factors of 555?

Pair factors of 555 are (1,555), (3,185), (5,111), (15,37).

• What are six multiples of 555?

First five multiples of 555 are 1110, 1665, 2220, 2775, 3330, 3885.

• Is 555 a whole number?

Yes 555 is a whole number.

• Which is the smallest prime factor of 555?

Smallest prime factor of 555 is 3.

• What are five multiples of 555?

First five multiples of 555 are 1110, 1665, 2220, 2775, 3330.

• Write all factors of 555?

Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555.

#### Examples of Factors

Joey wants to write all the prime factors of 555 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 555 are 3, 5, 37.
So in exponential form it can be written as 3 x 5 x 37.

How many factors are there for 555?

Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 555. Can you predict the answer?

7 factor(s) of 555 are 1, 3, 5, 15, 37, 111, 185.

Sammy is puzzled while calculating the prime factors of 555. Can you help him find them?

Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555.
Prime factors of 555 are 3, 5, 37

What is prime factorization of 555?

Prime factorization of 555 is 3 x 5 x 37 = 3 x 5 x 37.

Ariel has been assigned the task to find the product of all the prime factors of 555. Can you help her?

Prime factors of 555 are 3, 5, 37.
Hence, the product of prime factors of 555.

Can you help Rubel to find out the product of the even factors of 555?

Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555.
Even factors of 555 are 0.
Hence, product of even factors of 555 is; 0 = 0.