# Factors of 473

Factors of 473 are 1, 11, 43, and 473

#### How to find factors of a number

 1.   Find factors of 473 using Division Method 2.   Find factors of 473 using Prime Factorization 3.   Find factors of 473 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 473

• Divide 473 by 1: 473 ÷ 1 : Remainder = 0
• Divide 473 by 11: 473 ÷ 11 : Remainder = 0
• Divide 473 by 43: 473 ÷ 43 : Remainder = 0
• Divide 473 by 473: 473 ÷ 473 : Remainder = 0

Hence, Factors of 473 are 1, 11, 43, and 473

#### 2. Steps to find factors of 473 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 473 using the division method, follow these steps:

• Step 1. Start dividing 473 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 473, which is 11. Divide 473 by 11 to obtain the quotient (43).
473 ÷ 11 = 43
• Step 3. Repeat step 1 with the obtained quotient (43).
43 ÷ 43 = 1

So, the prime factorization of 473 is, 473 = 11 x 43.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 473 as shown below:

So, the prime factorization of 473 is, 473 = 11 x 43.

#### 3. Find factors of 473 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 473 would be the two numbers which, when multiplied, give 473 as the result.

The following table represents the calculation of factors of 473 in pairs:

Factor Pair Pair Factorization
1 and 473 1 x 473 = 473
11 and 43 11 x 43 = 473

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 473. They are called negative pair factors.

Hence, the negative pairs of 473 would be ( -1 , -473 ) , ( -11 , -43 ) .

#### What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. 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, 11, 43, 473 are exact divisors of 473.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 473 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 473.

• What are the pair factors of 473?

Pair factors of 473 are (1,473), (11,43).

• What are five multiples of 473?

First five multiples of 473 are 946, 1419, 1892, 2365, 2838.

• What two numbers make 473?

Two numbers that make 473 are 11 and 43.

• What is the sum of all factors of 473?

The sum of all factors of 473 is 528.

• What are factors of -473?

Factors of -473 are -1, -11, -43, -473.

• What are factors of 473?

Factors of 473 are 1, 11, 43, 473.

• Is 473 a perfect square?

No 473 is not a perfect square.

• Which is the smallest prime factor of 473?

Smallest prime factor of 473 is 11.

• Which is greatest factor of 473?

The greatest factor of 473 is 43.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 473?

Factors of 473 are 1, 11, 43, 473.
Odd factors of 473 are 1, 11, 43, 473.
Hence product of odd factors of 473 is; 1 x 11 x 43 x 473 = 223729.

Joey wants to write all the prime factors of 473 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 473 are 11, 43.
So in exponential form it can be written as 11 x 43.

How many factors are there for 473?

Factors of 473 are 1, 11, 43, 473.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 473. Can you predict the answer?

3 factor(s) of 473 are 1, 11, 43.

Sammy is puzzled while calculating the prime factors of 473. Can you help him find them?

Factors of 473 are 1, 11, 43, 473.
Prime factors of 473 are 11, 43

What is prime factorization of 473?

Prime factorization of 473 is 11 x 43 = 11 x 43.

Can you help Rubel to find out the product of the even factors of 473?

Factors of 473 are 1, 11, 43, 473.
Even factors of 473 are 0.
Hence, product of even factors of 473 is; 0 = 0.