# Factors of 432

Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, and 432

#### How to find factors of a number

 1.   Find factors of 432 using Division Method 2.   Find factors of 432 using Prime Factorization 3.   Find factors of 432 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 432

• Divide 432 by 1: 432 ÷ 1 : Remainder = 0
• Divide 432 by 2: 432 ÷ 2 : Remainder = 0
• Divide 432 by 3: 432 ÷ 3 : Remainder = 0
• Divide 432 by 4: 432 ÷ 4 : Remainder = 0
• Divide 432 by 6: 432 ÷ 6 : Remainder = 0
• Divide 432 by 8: 432 ÷ 8 : Remainder = 0
• Divide 432 by 9: 432 ÷ 9 : Remainder = 0
• Divide 432 by 12: 432 ÷ 12 : Remainder = 0
• Divide 432 by 16: 432 ÷ 16 : Remainder = 0
• Divide 432 by 18: 432 ÷ 18 : Remainder = 0
• Divide 432 by 24: 432 ÷ 24 : Remainder = 0
• Divide 432 by 27: 432 ÷ 27 : Remainder = 0
• Divide 432 by 36: 432 ÷ 36 : Remainder = 0
• Divide 432 by 48: 432 ÷ 48 : Remainder = 0
• Divide 432 by 54: 432 ÷ 54 : Remainder = 0
• Divide 432 by 72: 432 ÷ 72 : Remainder = 0
• Divide 432 by 108: 432 ÷ 108 : Remainder = 0
• Divide 432 by 144: 432 ÷ 144 : Remainder = 0
• Divide 432 by 216: 432 ÷ 216 : Remainder = 0
• Divide 432 by 432: 432 ÷ 432 : Remainder = 0

Hence, Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, and 432

#### 2. Steps to find factors of 432 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 432 using the division method, follow these steps:

• Step 1. Start dividing 432 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 432, which is 2. Divide 432 by 2 to obtain the quotient (216).
432 ÷ 2 = 216
• Step 3. Repeat step 1 with the obtained quotient (216).
216 ÷ 2 = 108
108 ÷ 2 = 54
54 ÷ 2 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

So, the prime factorization of 432 is, 432 = 2 x 2 x 2 x 2 x 3 x 3 x 3.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 432 as shown below:

So, the prime factorization of 432 is, 432 = 2 x 2 x 2 x 2 x 3 x 3 x 3.

#### 3. Find factors of 432 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 432 would be the two numbers which, when multiplied, give 432 as the result.

The following table represents the calculation of factors of 432 in pairs:

Factor Pair Pair Factorization
1 and 432 1 x 432 = 432
2 and 216 2 x 216 = 432
3 and 144 3 x 144 = 432
4 and 108 4 x 108 = 432
6 and 72 6 x 72 = 432
8 and 54 8 x 54 = 432
9 and 48 9 x 48 = 432
12 and 36 12 x 36 = 432
16 and 27 16 x 27 = 432
18 and 24 18 x 24 = 432

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 432. They are called negative pair factors.

Hence, the negative pairs of 432 would be ( -1 , -432 ) , ( -2 , -216 ) , ( -3 , -144 ) , ( -4 , -108 ) , ( -6 , -72 ) , ( -8 , -54 ) , ( -9 , -48 ) , ( -12 , -36 ) , ( -16 , -27 ) and ( -18 , -24 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 432 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 432.
• Every number is a factor of zero (0), since 432 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, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432 are exact divisors of 432.
• Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432. Each factor divides 432 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432 are all less than or equal to 432.

• Which is the smallest prime factor of 432?

Smallest prime factor of 432 is 2.

• Is 432 a perfect square?

No 432 is not a perfect square.

• What are five multiples of 432?

First five multiples of 432 are 864, 1296, 1728, 2160, 2592.

• What is prime factorization of 432?

Prime factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3.

• What are factors of 432?

Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.

• How do you find factors of a negative number? ( eg. -432 )?

Factors of -432 are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -36, -48, -54, -72, -108, -144, -216, -432.

• Is 432 a whole number?

Yes 432 is a whole number.

• Which is greatest factor of 432?

The greatest factor of 432 is 216.

• What are the prime factors of 432?

The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.
Prime factors of 432 are 2, 2, 2, 2, 3, 3, 3.

#### Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 432. Can you help her?

Prime factors of 432 are 2, 2, 2, 2, 3, 3, 3.
Hence, the product of prime factors of 6.

Can you help Rubel to find out the product of the even factors of 432?

Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.
Even factors of 432 are 2, 4, 6, 8, 12, 16, 18, 24, 36, 48, 54, 72, 108, 144, 216, 432.
Hence, product of even factors of 432 is; 2 x 4 x 6 x 8 x 12 x 16 x 18 x 24 x 36 x 48 x 54 x 72 x 108 x 144 x 216 x 432 = 3.105345593882455e+23.

Joy wants to calculate mean of all the factors of 432. Help him in finding the mean of 432.

Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 432 is 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 36 + 48 + 54 + 72 + 108 + 144 + 216 + 432 = 1240.
Hence, the mean of factors of 432 is 1240 ÷ 20 = 62.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 432? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.
Negative factors are -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -36, -48, -54, -72, -108, -144, -216, -432.

How many factors are there for 432?

Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.
So there are in total 20 factors.

Joey wants to write all the prime factors of 432 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 432 are 2, 2, 2, 2, 3, 3, 3.
So in exponential form it can be written as 24 x 33.

Kevin has been asked to write 19 factor(s) of 432. Can you predict the answer?

19 factor(s) of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216.