# Factors of 740

Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, and 740

#### How to find factors of a number

 1.   Find factors of 740 using Division Method 2.   Find factors of 740 using Prime Factorization 3.   Find factors of 740 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 740

• Divide 740 by 1: 740 ÷ 1 : Remainder = 0
• Divide 740 by 2: 740 ÷ 2 : Remainder = 0
• Divide 740 by 4: 740 ÷ 4 : Remainder = 0
• Divide 740 by 5: 740 ÷ 5 : Remainder = 0
• Divide 740 by 10: 740 ÷ 10 : Remainder = 0
• Divide 740 by 20: 740 ÷ 20 : Remainder = 0
• Divide 740 by 37: 740 ÷ 37 : Remainder = 0
• Divide 740 by 74: 740 ÷ 74 : Remainder = 0
• Divide 740 by 148: 740 ÷ 148 : Remainder = 0
• Divide 740 by 185: 740 ÷ 185 : Remainder = 0
• Divide 740 by 370: 740 ÷ 370 : Remainder = 0
• Divide 740 by 740: 740 ÷ 740 : Remainder = 0

Hence, Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, and 740

#### 2. Steps to find factors of 740 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 740 using the division method, follow these steps:

• Step 1. Start dividing 740 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 740, which is 2. Divide 740 by 2 to obtain the quotient (370).
740 ÷ 2 = 370
• Step 3. Repeat step 1 with the obtained quotient (370).
370 ÷ 2 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1

So, the prime factorization of 740 is, 740 = 2 x 2 x 5 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 740 as shown below:

So, the prime factorization of 740 is, 740 = 2 x 2 x 5 x 37.

#### 3. Find factors of 740 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 740 would be the two numbers which, when multiplied, give 740 as the result.

The following table represents the calculation of factors of 740 in pairs:

Factor Pair Pair Factorization
1 and 740 1 x 740 = 740
2 and 370 2 x 370 = 740
4 and 185 4 x 185 = 740
5 and 148 5 x 148 = 740
10 and 74 10 x 74 = 740
20 and 37 20 x 37 = 740

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 740. They are called negative pair factors.

Hence, the negative pairs of 740 would be ( -1 , -740 ) , ( -2 , -370 ) , ( -4 , -185 ) , ( -5 , -148 ) , ( -10 , -74 ) and ( -20 , -37 ) .

#### 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. 740 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 740.
• Every number is a factor of zero (0), since 740 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, 5, 10, 20, 37, 74, 148, 185, 370, 740 are exact divisors of 740.
• Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. Each factor divides 740 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740 are all less than or equal to 740.

• What two numbers make 740?

Two numbers that make 740 are 2 and 370.

• What is prime factorization of 740?

Prime factorization of 740 is 2 x 2 x 5 x 37.

• Write some multiples of 740?

First five multiples of 740 are 1480, 2220, 2960, 3700.

• Which is the smallest prime factor of 740?

The smallest prime factor of 740 is 2.

• Is 740 a perfect square?

No 740 is not a perfect square.

• What is the sum of all factors of 740?

The sum of all factors of 740 is 1596.

• What are factors of 740?

Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.

• How do you find factors of a negative number? ( eg. -740 )?

Factors of -740 are -1, -2, -4, -5, -10, -20, -37, -74, -148, -185, -370, -740.

• Is 740 a whole number?

Yes 740 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 740. Help him in finding the mean of 740.

Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 740 is 1 + 2 + 4 + 5 + 10 + 20 + 37 + 74 + 148 + 185 + 370 + 740 = 1596.
Hence, the mean of factors of 740 is 1596 ÷ 12 = 133.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 740? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.
Negative factors are -1, -2, -4, -5, -10, -20, -37, -74, -148, -185, -370, -740.

Joey wants to write all the prime factors of 740 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 740 are 2, 2, 5, 37.
So in exponential form it can be written as 22 x 5 x 37.

Kevin has been asked to write 11 factor(s) of 740. Can you predict the answer?

11 factor(s) of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370.

Sammy is puzzled while calculating the prime factors of 740. Can you help him find them?

Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.
Prime factors of 740 are 2, 2, 5, 37

What is prime factorization of 740?

Prime factorization of 740 is 2 x 2 x 5 x 37 = 22 x 5 x 37.

Can you help Rubel to find out the product of the even factors of 740?

Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.
Even factors of 740 are 2, 4, 10, 20, 74, 148, 370, 740.
Hence, product of even factors of 740 is; 2 x 4 x 10 x 20 x 74 x 148 x 370 x 740 = 4797852160000.