# Factors of 505

Factors of 505 are 1, 5, 101, and 505

#### How to find factors of a number

 1.   Find factors of 505 using Division Method 2.   Find factors of 505 using Prime Factorization 3.   Find factors of 505 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 505

• Divide 505 by 1: 505 ÷ 1 : Remainder = 0
• Divide 505 by 5: 505 ÷ 5 : Remainder = 0
• Divide 505 by 101: 505 ÷ 101 : Remainder = 0
• Divide 505 by 505: 505 ÷ 505 : Remainder = 0

Hence, Factors of 505 are 1, 5, 101, and 505

#### 2. Steps to find factors of 505 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 505 using the division method, follow these steps:

• Step 1. Start dividing 505 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 505, which is 5. Divide 505 by 5 to obtain the quotient (101).
505 ÷ 5 = 101
• Step 3. Repeat step 1 with the obtained quotient (101).
101 ÷ 101 = 1

So, the prime factorization of 505 is, 505 = 5 x 101.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 505 as shown below:

So, the prime factorization of 505 is, 505 = 5 x 101.

#### 3. Find factors of 505 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 505 would be the two numbers which, when multiplied, give 505 as the result.

The following table represents the calculation of factors of 505 in pairs:

Factor Pair Pair Factorization
1 and 505 1 x 505 = 505
5 and 101 5 x 101 = 505

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 505. They are called negative pair factors.

Hence, the negative pairs of 505 would be ( -1 , -505 ) , ( -5 , -101 ) .

#### 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 factor of a number is an exact divisor of that number, example 1, 5, 101, 505 are exact divisors of 505.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 505 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 505.

• What are the prime factors of 505?

The factors of 505 are 1, 5, 101, 505.
Prime factors of 505 are 5, 101.

• What is the sum of all factors of 505?

The sum of all factors of 505 is 612.

• What are the pair factors of 505?

Pair factors of 505 are (1,505), (5,101).

• What two numbers make 505?

Two numbers that make 505 are 5 and 101.

• What are multiples of 505?

First five multiples of 505 are 1010, 1515, 2020, 2525.

• Is 505 a perfect square?

No 505 is not a perfect square.

• Which is greatest factor of 505?

The greatest factor of 505 is 101.

• How do you factors of 505?

Factors of 505 are 1, 5, 101, 505.

• What are five multiples of 505?

First five multiples of 505 are 1010, 1515, 2020, 2525, 3030.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 505?

Factors of 505 are 1, 5, 101, 505.
Even factors of 505 are 0.
Hence, product of even factors of 505 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 505? Help her in writing all the factors.

Positive factors are 1, 5, 101, 505.
Negative factors are -1, -5, -101, -505.

How many factors are there for 505?

Factors of 505 are 1, 5, 101, 505.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 505. Can you help him find them?

Factors of 505 are 1, 5, 101, 505.
Prime factors of 505 are 5, 101

Joey wants to write all the prime factors of 505 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 505 are 5, 101.
So in exponential form it can be written as 5 x 101.

What is prime factorization of 505?

Prime factorization of 505 is 5 x 101 = 5 x 101.

Can you help Rubel to find out the product of the even factors of 505?

Factors of 505 are 1, 5, 101, 505.
Even factors of 505 are 0.
Hence, product of even factors of 505 is; 0 = 0.