# Factors of 470

Factors of 470 are 1, 2, 5, 10, 47, 94, 235, and 470

#### How to find factors of a number

 1.   Find factors of 470 using Division Method 2.   Find factors of 470 using Prime Factorization 3.   Find factors of 470 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 470

• Divide 470 by 1: 470 ÷ 1 : Remainder = 0
• Divide 470 by 2: 470 ÷ 2 : Remainder = 0
• Divide 470 by 5: 470 ÷ 5 : Remainder = 0
• Divide 470 by 10: 470 ÷ 10 : Remainder = 0
• Divide 470 by 47: 470 ÷ 47 : Remainder = 0
• Divide 470 by 94: 470 ÷ 94 : Remainder = 0
• Divide 470 by 235: 470 ÷ 235 : Remainder = 0
• Divide 470 by 470: 470 ÷ 470 : Remainder = 0

Hence, Factors of 470 are 1, 2, 5, 10, 47, 94, 235, and 470

#### 2. Steps to find factors of 470 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 470 using the division method, follow these steps:

• Step 1. Start dividing 470 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 470, which is 2. Divide 470 by 2 to obtain the quotient (235).
470 ÷ 2 = 235
• Step 3. Repeat step 1 with the obtained quotient (235).
235 ÷ 5 = 47
47 ÷ 47 = 1

So, the prime factorization of 470 is, 470 = 2 x 5 x 47.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 470 as shown below:

So, the prime factorization of 470 is, 470 = 2 x 5 x 47.

#### 3. Find factors of 470 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 470 would be the two numbers which, when multiplied, give 470 as the result.

The following table represents the calculation of factors of 470 in pairs:

Factor Pair Pair Factorization
1 and 470 1 x 470 = 470
2 and 235 2 x 235 = 470
5 and 94 5 x 94 = 470
10 and 47 10 x 47 = 470

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 470. They are called negative pair factors.

Hence, the negative pairs of 470 would be ( -1 , -470 ) , ( -2 , -235 ) , ( -5 , -94 ) and ( -10 , -47 ) .

#### What are factors?

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

#### Properties of factors

• Each number is a factor of itself. Eg. 470 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, 5, 10, 47, 94, 235, 470 are exact divisors of 470.
• 1 is a factor of every number. Eg. 1 is a factor of 470.
• Every number is a factor of zero (0), since 470 x 0 = 0.

• What two numbers make 470?

Two numbers that make 470 are 2 and 235.

• What is prime factorization of 470?

Prime factorization of 470 is 2 x 5 x 47.

• Write some multiples of 470?

First five multiples of 470 are 940, 1410, 1880, 2350.

• Which is the smallest prime factor of 470?

The smallest prime factor of 470 is 2.

• Is 470 a perfect square?

No 470 is not a perfect square.

• What is the sum of all factors of 470?

The sum of all factors of 470 is 864.

• What are factors of 470?

Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470.

• How do you find factors of a negative number? ( eg. -470 )?

Factors of -470 are -1, -2, -5, -10, -47, -94, -235, -470.

• Is 470 a whole number?

Yes 470 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 470. Help him in finding the mean of 470.

Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 470 is 1 + 2 + 5 + 10 + 47 + 94 + 235 + 470 = 864.
Hence, the mean of factors of 470 is 864 ÷ 8 = 108.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 470? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 47, 94, 235, 470.
Negative factors are -1, -2, -5, -10, -47, -94, -235, -470.

Joey wants to write all the prime factors of 470 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 470 are 2, 5, 47.
So in exponential form it can be written as 2 x 5 x 47.

Kevin has been asked to write 7 factor(s) of 470. Can you predict the answer?

7 factor(s) of 470 are 1, 2, 5, 10, 47, 94, 235.

Sammy is puzzled while calculating the prime factors of 470. Can you help him find them?

Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470.
Prime factors of 470 are 2, 5, 47

What is prime factorization of 470?

Prime factorization of 470 is 2 x 5 x 47 = 2 x 5 x 47.

Can you help Rubel to find out the product of the even factors of 470?

Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470.
Even factors of 470 are 2, 10, 94, 470.
Hence, product of even factors of 470 is; 2 x 10 x 94 x 470 = 883600.