# Factors of 455

Factors of 455 are 1, 5, 7, 13, 35, 65, 91, and 455

#### How to find factors of a number

 1.   Find factors of 455 using Division Method 2.   Find factors of 455 using Prime Factorization 3.   Find factors of 455 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 455

• Divide 455 by 1: 455 ÷ 1 : Remainder = 0
• Divide 455 by 5: 455 ÷ 5 : Remainder = 0
• Divide 455 by 7: 455 ÷ 7 : Remainder = 0
• Divide 455 by 13: 455 ÷ 13 : Remainder = 0
• Divide 455 by 35: 455 ÷ 35 : Remainder = 0
• Divide 455 by 65: 455 ÷ 65 : Remainder = 0
• Divide 455 by 91: 455 ÷ 91 : Remainder = 0
• Divide 455 by 455: 455 ÷ 455 : Remainder = 0

Hence, Factors of 455 are 1, 5, 7, 13, 35, 65, 91, and 455

#### 2. Steps to find factors of 455 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 455 using the division method, follow these steps:

• Step 1. Start dividing 455 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 455, which is 5. Divide 455 by 5 to obtain the quotient (91).
455 ÷ 5 = 91
• Step 3. Repeat step 1 with the obtained quotient (91).
91 ÷ 7 = 13
13 ÷ 13 = 1

So, the prime factorization of 455 is, 455 = 5 x 7 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 455 as shown below:

So, the prime factorization of 455 is, 455 = 5 x 7 x 13.

#### 3. Find factors of 455 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 455 would be the two numbers which, when multiplied, give 455 as the result.

The following table represents the calculation of factors of 455 in pairs:

Factor Pair Pair Factorization
1 and 455 1 x 455 = 455
5 and 91 5 x 91 = 455
7 and 65 7 x 65 = 455
13 and 35 13 x 35 = 455

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 455. They are called negative pair factors.

Hence, the negative pairs of 455 would be ( -1 , -455 ) , ( -5 , -91 ) , ( -7 , -65 ) and ( -13 , -35 ) .

#### 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 455 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, 7, 13, 35, 65, 91, 455 are exact divisors of 455.
• Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. Each factor divides 455 without leaving a remainder.

• What are the pair factors of 455?

Pair factors of 455 are (1,455), (5,91), (7,65), (13,35).

• What are five multiples of 455?

First five multiples of 455 are 910, 1365, 1820, 2275, 2730.

• What two numbers make 455?

Two numbers that make 455 are 5 and 91.

• What is the sum of all factors of 455?

The sum of all factors of 455 is 672.

• What are factors of -455?

Factors of -455 are -1, -5, -7, -13, -35, -65, -91, -455.

• What are factors of 455?

Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455.

• Is 455 a perfect square?

No 455 is not a perfect square.

• Which is the smallest prime factor of 455?

Smallest prime factor of 455 is 5.

• Which is greatest factor of 455?

The greatest factor of 455 is 91.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 455?

Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455.
Odd factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455.
Hence product of odd factors of 455 is; 1 x 5 x 7 x 13 x 35 x 65 x 91 x 455 = 42859350625.

Joey wants to write all the prime factors of 455 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 455 are 5, 7, 13.
So in exponential form it can be written as 5 x 7 x 13.

How many factors are there for 455?

Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 455. Can you predict the answer?

7 factor(s) of 455 are 1, 5, 7, 13, 35, 65, 91.

Sammy is puzzled while calculating the prime factors of 455. Can you help him find them?

Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455.
Prime factors of 455 are 5, 7, 13

What is prime factorization of 455?

Prime factorization of 455 is 5 x 7 x 13 = 5 x 7 x 13.

Can you help Rubel to find out the product of the even factors of 455?

Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455.
Even factors of 455 are 0.
Hence, product of even factors of 455 is; 0 = 0.