# Factors of 472

Factors of 472 are 1, 2, 4, 8, 59, 118, 236, and 472

#### How to find factors of a number

 1.   Find factors of 472 using Division Method 2.   Find factors of 472 using Prime Factorization 3.   Find factors of 472 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 472

• Divide 472 by 1: 472 ÷ 1 : Remainder = 0
• Divide 472 by 2: 472 ÷ 2 : Remainder = 0
• Divide 472 by 4: 472 ÷ 4 : Remainder = 0
• Divide 472 by 8: 472 ÷ 8 : Remainder = 0
• Divide 472 by 59: 472 ÷ 59 : Remainder = 0
• Divide 472 by 118: 472 ÷ 118 : Remainder = 0
• Divide 472 by 236: 472 ÷ 236 : Remainder = 0
• Divide 472 by 472: 472 ÷ 472 : Remainder = 0

Hence, Factors of 472 are 1, 2, 4, 8, 59, 118, 236, and 472

#### 2. Steps to find factors of 472 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 472 using the division method, follow these steps:

• Step 1. Start dividing 472 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 472, which is 2. Divide 472 by 2 to obtain the quotient (236).
472 ÷ 2 = 236
• Step 3. Repeat step 1 with the obtained quotient (236).
236 ÷ 2 = 118
118 ÷ 2 = 59
59 ÷ 59 = 1

So, the prime factorization of 472 is, 472 = 2 x 2 x 2 x 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 472 as shown below:

So, the prime factorization of 472 is, 472 = 2 x 2 x 2 x 59.

#### 3. Find factors of 472 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 472 would be the two numbers which, when multiplied, give 472 as the result.

The following table represents the calculation of factors of 472 in pairs:

Factor Pair Pair Factorization
1 and 472 1 x 472 = 472
2 and 236 2 x 236 = 472
4 and 118 4 x 118 = 472
8 and 59 8 x 59 = 472

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 472. They are called negative pair factors.

Hence, the negative pairs of 472 would be ( -1 , -472 ) , ( -2 , -236 ) , ( -4 , -118 ) and ( -8 , -59 ) .

#### 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. 472 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 472.
• Every number is a factor of zero (0), since 472 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, 4, 8, 59, 118, 236, 472 are exact divisors of 472.
• Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472. Each factor divides 472 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 8, 59, 118, 236, 472 are all less than or equal to 472.

• Is 472 a perfect square?

No 472 is not a perfect square.

• What are factors of 472?

Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472.

• Which is greatest factor of 472?

The greatest factor of 472 is 236.

• What is the sum of all factors of 472?

The sum of all factors of 472 is 900.

• What are multiples of 472?

First five multiples of 472 are 944, 1416, 1888, 2360.

• What is the greatest prime factors of 472?

The greatest prime factor of 472 is 59.

• What are six multiples of 472?

First five multiples of 472 are 944, 1416, 1888, 2360, 2832, 3304.

• What is prime factorization of 472?

Prime factorization of 472 is 2 x 2 x 2 x 59.

• Is 472 a whole number?

Yes 472 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 472? Help her in writing all the factors.

Positive factors are 1, 2, 4, 8, 59, 118, 236, 472.
Negative factors are -1, -2, -4, -8, -59, -118, -236, -472.

Can you help Sammy find out the product of the odd factors of 472?

Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472.
Odd factors of 472 are 1, 59.
Hence product of odd factors of 472 is; 1 x 59 = 59.

Joey wants to write all the prime factors of 472 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 472 are 2, 2, 2, 59.
So in exponential form it can be written as 23 x 59.

How many factors are there for 472?

Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 472. Can you predict the answer?

7 factor(s) of 472 are 1, 2, 4, 8, 59, 118, 236.

Sammy is puzzled while calculating the prime factors of 472. Can you help him find them?

Factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472.
Prime factors of 472 are 2, 2, 2, 59

What is prime factorization of 472?

Prime factorization of 472 is 2 x 2 x 2 x 59 = 23 x 59.