# Factors of 474

Factors of 474 are 1, 2, 3, 6, 79, 158, 237, and 474

#### How to find factors of a number

 1.   Find factors of 474 using Division Method 2.   Find factors of 474 using Prime Factorization 3.   Find factors of 474 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 474

• Divide 474 by 1: 474 ÷ 1 : Remainder = 0
• Divide 474 by 2: 474 ÷ 2 : Remainder = 0
• Divide 474 by 3: 474 ÷ 3 : Remainder = 0
• Divide 474 by 6: 474 ÷ 6 : Remainder = 0
• Divide 474 by 79: 474 ÷ 79 : Remainder = 0
• Divide 474 by 158: 474 ÷ 158 : Remainder = 0
• Divide 474 by 237: 474 ÷ 237 : Remainder = 0
• Divide 474 by 474: 474 ÷ 474 : Remainder = 0

Hence, Factors of 474 are 1, 2, 3, 6, 79, 158, 237, and 474

#### 2. Steps to find factors of 474 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 474 using the division method, follow these steps:

• Step 1. Start dividing 474 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 474, which is 2. Divide 474 by 2 to obtain the quotient (237).
474 ÷ 2 = 237
• Step 3. Repeat step 1 with the obtained quotient (237).
237 ÷ 3 = 79
79 ÷ 79 = 1

So, the prime factorization of 474 is, 474 = 2 x 3 x 79.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 474 as shown below:

So, the prime factorization of 474 is, 474 = 2 x 3 x 79.

#### 3. Find factors of 474 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 474 would be the two numbers which, when multiplied, give 474 as the result.

The following table represents the calculation of factors of 474 in pairs:

Factor Pair Pair Factorization
1 and 474 1 x 474 = 474
2 and 237 2 x 237 = 474
3 and 158 3 x 158 = 474
6 and 79 6 x 79 = 474

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 474. They are called negative pair factors.

Hence, the negative pairs of 474 would be ( -1 , -474 ) , ( -2 , -237 ) , ( -3 , -158 ) and ( -6 , -79 ) .

#### How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 474 is a factor of itself.
• 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, 6, 79, 158, 237, 474 are exact divisors of 474.
• 1 is a factor of every number. Eg. 1 is a factor of 474.
• Every number is a factor of zero (0), since 474 x 0 = 0.

• How do you find factors of a negative number? ( eg. -474 )?

Factors of -474 are -1, -2, -3, -6, -79, -158, -237, -474.

• What is the sum of all factors of 474?

The sum of all factors of 474 is 960.

• What is prime factorization of 474?

Prime factorization of 474 is 2 x 3 x 79.

• What are the pair factors of 474?

Pair factors of 474 are (1,474), (2,237), (3,158), (6,79).

• What are six multiples of 474?

First five multiples of 474 are 948, 1422, 1896, 2370, 2844, 3318.

• Is 474 a whole number?

Yes 474 is a whole number.

• Which is the smallest prime factor of 474?

Smallest prime factor of 474 is 2.

• What are five multiples of 474?

First five multiples of 474 are 948, 1422, 1896, 2370, 2844.

• Write all factors of 474?

Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474.

#### Examples of Factors

Joey wants to write all the prime factors of 474 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 474 are 2, 3, 79.
So in exponential form it can be written as 2 x 3 x 79.

How many factors are there for 474?

Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 474. Can you predict the answer?

7 factor(s) of 474 are 1, 2, 3, 6, 79, 158, 237.

Sammy is puzzled while calculating the prime factors of 474. Can you help him find them?

Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474.
Prime factors of 474 are 2, 3, 79

What is prime factorization of 474?

Prime factorization of 474 is 2 x 3 x 79 = 2 x 3 x 79.

Ariel has been assigned the task to find the product of all the prime factors of 474. Can you help her?

Prime factors of 474 are 2, 3, 79.
Hence, the product of prime factors of 474.

Can you help Rubel to find out the product of the even factors of 474?

Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474.
Even factors of 474 are 2, 6, 158, 474.
Hence, product of even factors of 474 is; 2 x 6 x 158 x 474 = 898704.