# Factors of 423

Factors of 423 are 1, 3, 9, 47, 141, and 423

#### How to find factors of a number

 1.   Find factors of 423 using Division Method 2.   Find factors of 423 using Prime Factorization 3.   Find factors of 423 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 423

• Divide 423 by 1: 423 ÷ 1 : Remainder = 0
• Divide 423 by 3: 423 ÷ 3 : Remainder = 0
• Divide 423 by 9: 423 ÷ 9 : Remainder = 0
• Divide 423 by 47: 423 ÷ 47 : Remainder = 0
• Divide 423 by 141: 423 ÷ 141 : Remainder = 0
• Divide 423 by 423: 423 ÷ 423 : Remainder = 0

Hence, Factors of 423 are 1, 3, 9, 47, 141, and 423

#### 2. Steps to find factors of 423 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 423 using the division method, follow these steps:

• Step 1. Start dividing 423 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 423, which is 3. Divide 423 by 3 to obtain the quotient (141).
423 ÷ 3 = 141
• Step 3. Repeat step 1 with the obtained quotient (141).
141 ÷ 3 = 47
47 ÷ 47 = 1

So, the prime factorization of 423 is, 423 = 3 x 3 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 423 as shown below:

So, the prime factorization of 423 is, 423 = 3 x 3 x 47.

#### 3. Find factors of 423 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 423 would be the two numbers which, when multiplied, give 423 as the result.

The following table represents the calculation of factors of 423 in pairs:

Factor Pair Pair Factorization
1 and 423 1 x 423 = 423
3 and 141 3 x 141 = 423
9 and 47 9 x 47 = 423

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 423. They are called negative pair factors.

Hence, the negative pairs of 423 would be ( -1 , -423 ) , ( -3 , -141 ) and ( -9 , -47 ) .

#### 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 number is a factor of zero (0), since 423 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, 9, 47, 141, 423 are exact divisors of 423.
• Factors of 423 are 1, 3, 9, 47, 141, 423. Each factor divides 423 without leaving a remainder.

• Which is the smallest prime factor of 423?

Smallest prime factor of 423 is 3.

• Is 423 a perfect square?

No 423 is not a perfect square.

• What are five multiples of 423?

First five multiples of 423 are 846, 1269, 1692, 2115, 2538.

• What is prime factorization of 423?

Prime factorization of 423 is 3 x 3 x 47.

• What are factors of 423?

Factors of 423 are 1, 3, 9, 47, 141, 423.

• How do you find factors of a negative number? ( eg. -423 )?

Factors of -423 are -1, -3, -9, -47, -141, -423.

• Is 423 a whole number?

Yes 423 is a whole number.

• Which is greatest factor of 423?

The greatest factor of 423 is 141.

• What are the prime factors of 423?

The factors of 423 are 1, 3, 9, 47, 141, 423.
Prime factors of 423 are 3, 3, 47.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 423. Can you help her?

Prime factors of 423 are 3, 3, 47.
Hence, the product of prime factors of 141.

Can you help Rubel to find out the product of the even factors of 423?

Factors of 423 are 1, 3, 9, 47, 141, 423.
Even factors of 423 are 0.
Hence, product of even factors of 423 is; 0 = 0.

Joy wants to calculate mean of all the factors of 423. Help him in finding the mean of 423.

Factors of 423 are 1, 3, 9, 47, 141, 423.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 423 is 1 + 3 + 9 + 47 + 141 + 423 = 624.
Hence, the mean of factors of 423 is 624 ÷ 6 = 104.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 423? Help her in writing all the factors.

Positive factors are 1, 3, 9, 47, 141, 423.
Negative factors are -1, -3, -9, -47, -141, -423.

How many factors are there for 423?

Factors of 423 are 1, 3, 9, 47, 141, 423.
So there are in total 6 factors.

Joey wants to write all the prime factors of 423 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 423 are 3, 3, 47.
So in exponential form it can be written as 32 x 47.

Kevin has been asked to write 5 factor(s) of 423. Can you predict the answer?

5 factor(s) of 423 are 1, 3, 9, 47, 141.