# Factors of 780

Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, and 780

#### How to find factors of a number

 1.   Find factors of 780 using Division Method 2.   Find factors of 780 using Prime Factorization 3.   Find factors of 780 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 780

• Divide 780 by 1: 780 ÷ 1 : Remainder = 0
• Divide 780 by 2: 780 ÷ 2 : Remainder = 0
• Divide 780 by 3: 780 ÷ 3 : Remainder = 0
• Divide 780 by 4: 780 ÷ 4 : Remainder = 0
• Divide 780 by 5: 780 ÷ 5 : Remainder = 0
• Divide 780 by 6: 780 ÷ 6 : Remainder = 0
• Divide 780 by 10: 780 ÷ 10 : Remainder = 0
• Divide 780 by 12: 780 ÷ 12 : Remainder = 0
• Divide 780 by 13: 780 ÷ 13 : Remainder = 0
• Divide 780 by 15: 780 ÷ 15 : Remainder = 0
• Divide 780 by 20: 780 ÷ 20 : Remainder = 0
• Divide 780 by 26: 780 ÷ 26 : Remainder = 0
• Divide 780 by 30: 780 ÷ 30 : Remainder = 0
• Divide 780 by 39: 780 ÷ 39 : Remainder = 0
• Divide 780 by 52: 780 ÷ 52 : Remainder = 0
• Divide 780 by 60: 780 ÷ 60 : Remainder = 0
• Divide 780 by 65: 780 ÷ 65 : Remainder = 0
• Divide 780 by 78: 780 ÷ 78 : Remainder = 0
• Divide 780 by 130: 780 ÷ 130 : Remainder = 0
• Divide 780 by 156: 780 ÷ 156 : Remainder = 0
• Divide 780 by 195: 780 ÷ 195 : Remainder = 0
• Divide 780 by 260: 780 ÷ 260 : Remainder = 0
• Divide 780 by 390: 780 ÷ 390 : Remainder = 0
• Divide 780 by 780: 780 ÷ 780 : Remainder = 0

Hence, Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, and 780

#### 2. Steps to find factors of 780 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 780 using the division method, follow these steps:

• Step 1. Start dividing 780 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 780, which is 2. Divide 780 by 2 to obtain the quotient (390).
780 ÷ 2 = 390
• Step 3. Repeat step 1 with the obtained quotient (390).
390 ÷ 2 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

So, the prime factorization of 780 is, 780 = 2 x 2 x 3 x 5 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 780 as shown below:

So, the prime factorization of 780 is, 780 = 2 x 2 x 3 x 5 x 13.

#### 3. Find factors of 780 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 780 would be the two numbers which, when multiplied, give 780 as the result.

The following table represents the calculation of factors of 780 in pairs:

Factor Pair Pair Factorization
1 and 780 1 x 780 = 780
2 and 390 2 x 390 = 780
3 and 260 3 x 260 = 780
4 and 195 4 x 195 = 780
5 and 156 5 x 156 = 780
6 and 130 6 x 130 = 780
10 and 78 10 x 78 = 780
12 and 65 12 x 65 = 780
13 and 60 13 x 60 = 780
15 and 52 15 x 52 = 780
20 and 39 20 x 39 = 780
26 and 30 26 x 30 = 780

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 780. They are called negative pair factors.

Hence, the negative pairs of 780 would be ( -1 , -780 ) , ( -2 , -390 ) , ( -3 , -260 ) , ( -4 , -195 ) , ( -5 , -156 ) , ( -6 , -130 ) , ( -10 , -78 ) , ( -12 , -65 ) , ( -13 , -60 ) , ( -15 , -52 ) , ( -20 , -39 ) and ( -26 , -30 ) .

#### 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. 780 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 780.
• Every number is a factor of zero (0), since 780 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, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780 are exact divisors of 780.
• Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. Each factor divides 780 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780 are all less than or equal to 780.

• How do you find factors of a negative number? ( eg. -780 )?

Factors of -780 are -1, -2, -3, -4, -5, -6, -10, -12, -13, -15, -20, -26, -30, -39, -52, -60, -65, -78, -130, -156, -195, -260, -390, -780.

• What is the sum of all factors of 780?

The sum of all factors of 780 is 2352.

• What is prime factorization of 780?

Prime factorization of 780 is 2 x 2 x 3 x 5 x 13.

• What are the pair factors of 780?

Pair factors of 780 are (1,780), (2,390), (3,260), (4,195), (5,156), (6,130), (10,78), (12,65), (13,60), (15,52), (20,39), (26,30).

• What are six multiples of 780?

First five multiples of 780 are 1560, 2340, 3120, 3900, 4680, 5460.

• Is 780 a whole number?

Yes 780 is a whole number.

• Which is the smallest prime factor of 780?

Smallest prime factor of 780 is 2.

• What are five multiples of 780?

First five multiples of 780 are 1560, 2340, 3120, 3900, 4680.

• Write all factors of 780?

Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780.

#### Examples of Factors

Joey wants to write all the prime factors of 780 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 780 are 2, 2, 3, 5, 13.
So in exponential form it can be written as 22 x 3 x 5 x 13.

How many factors are there for 780?

Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780.
So there are in total 24 factors.

Kevin has been asked to write 23 factor(s) of 780. Can you predict the answer?

23 factor(s) of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390.

Sammy is puzzled while calculating the prime factors of 780. Can you help him find them?

Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780.
Prime factors of 780 are 2, 2, 3, 5, 13

What is prime factorization of 780?

Prime factorization of 780 is 2 x 2 x 3 x 5 x 13 = 22 x 3 x 5 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 780. Can you help her?

Prime factors of 780 are 2, 2, 3, 5, 13.
Hence, the product of prime factors of 390.

Can you help Rubel to find out the product of the even factors of 780?

Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780.
Even factors of 780 are 2, 4, 6, 10, 12, 20, 26, 30, 52, 60, 78, 130, 156, 260, 390, 780.
Hence, product of even factors of 780 is; 2 x 4 x 6 x 10 x 12 x 20 x 26 x 30 x 52 x 60 x 78 x 130 x 156 x 260 x 390 x 780 = 3.5074927889488283e+25.