# Factors of 760

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, and 760

#### How to find factors of a number

 1.   Find factors of 760 using Division Method 2.   Find factors of 760 using Prime Factorization 3.   Find factors of 760 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 760

• Divide 760 by 1: 760 ÷ 1 : Remainder = 0
• Divide 760 by 2: 760 ÷ 2 : Remainder = 0
• Divide 760 by 4: 760 ÷ 4 : Remainder = 0
• Divide 760 by 5: 760 ÷ 5 : Remainder = 0
• Divide 760 by 8: 760 ÷ 8 : Remainder = 0
• Divide 760 by 10: 760 ÷ 10 : Remainder = 0
• Divide 760 by 19: 760 ÷ 19 : Remainder = 0
• Divide 760 by 20: 760 ÷ 20 : Remainder = 0
• Divide 760 by 38: 760 ÷ 38 : Remainder = 0
• Divide 760 by 40: 760 ÷ 40 : Remainder = 0
• Divide 760 by 76: 760 ÷ 76 : Remainder = 0
• Divide 760 by 95: 760 ÷ 95 : Remainder = 0
• Divide 760 by 152: 760 ÷ 152 : Remainder = 0
• Divide 760 by 190: 760 ÷ 190 : Remainder = 0
• Divide 760 by 380: 760 ÷ 380 : Remainder = 0
• Divide 760 by 760: 760 ÷ 760 : Remainder = 0

Hence, Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, and 760

#### 2. Steps to find factors of 760 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 760 using the division method, follow these steps:

• Step 1. Start dividing 760 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 760, which is 2. Divide 760 by 2 to obtain the quotient (380).
760 ÷ 2 = 380
• Step 3. Repeat step 1 with the obtained quotient (380).
380 ÷ 2 = 190
190 ÷ 2 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1

So, the prime factorization of 760 is, 760 = 2 x 2 x 2 x 5 x 19.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 760 as shown below:

So, the prime factorization of 760 is, 760 = 2 x 2 x 2 x 5 x 19.

#### 3. Find factors of 760 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 760 would be the two numbers which, when multiplied, give 760 as the result.

The following table represents the calculation of factors of 760 in pairs:

Factor Pair Pair Factorization
1 and 760 1 x 760 = 760
2 and 380 2 x 380 = 760
4 and 190 4 x 190 = 760
5 and 152 5 x 152 = 760
8 and 95 8 x 95 = 760
10 and 76 10 x 76 = 760
19 and 40 19 x 40 = 760
20 and 38 20 x 38 = 760

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 760. They are called negative pair factors.

Hence, the negative pairs of 760 would be ( -1 , -760 ) , ( -2 , -380 ) , ( -4 , -190 ) , ( -5 , -152 ) , ( -8 , -95 ) , ( -10 , -76 ) , ( -19 , -40 ) and ( -20 , -38 ) .

#### 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. 760 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 760.
• Every number is a factor of zero (0), since 760 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, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760 are exact divisors of 760.
• Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760. Each factor divides 760 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760 are all less than or equal to 760.

• Is 760 a perfect square?

No 760 is not a perfect square.

• What are factors of 760?

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.

• Which is greatest factor of 760?

The greatest factor of 760 is 380.

• What is the sum of all factors of 760?

The sum of all factors of 760 is 1800.

• What are multiples of 760?

First five multiples of 760 are 1520, 2280, 3040, 3800.

• What is the greatest prime factors of 760?

The greatest prime factor of 760 is 19.

• What are six multiples of 760?

First five multiples of 760 are 1520, 2280, 3040, 3800, 4560, 5320.

• What is prime factorization of 760?

Prime factorization of 760 is 2 x 2 x 2 x 5 x 19.

• Is 760 a whole number?

Yes 760 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 760? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
Negative factors are -1, -2, -4, -5, -8, -10, -19, -20, -38, -40, -76, -95, -152, -190, -380, -760.

Can you help Sammy find out the product of the odd factors of 760?

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
Odd factors of 760 are 1, 5, 19, 95.
Hence product of odd factors of 760 is; 1 x 5 x 19 x 95 = 9025.

Joey wants to write all the prime factors of 760 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 760 are 2, 2, 2, 5, 19.
So in exponential form it can be written as 23 x 5 x 19.

How many factors are there for 760?

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
So there are in total 16 factors.

Kevin has been asked to write 15 factor(s) of 760. Can you predict the answer?

15 factor(s) of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380.

Sammy is puzzled while calculating the prime factors of 760. Can you help him find them?

Factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760.
Prime factors of 760 are 2, 2, 2, 5, 19

What is prime factorization of 760?

Prime factorization of 760 is 2 x 2 x 2 x 5 x 19 = 23 x 5 x 19.