# Factors of 777

Factors of 777 are 1, 3, 7, 21, 37, 111, 259, and 777

#### How to find factors of a number

 1.   Find factors of 777 using Division Method 2.   Find factors of 777 using Prime Factorization 3.   Find factors of 777 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 777

• Divide 777 by 1: 777 ÷ 1 : Remainder = 0
• Divide 777 by 3: 777 ÷ 3 : Remainder = 0
• Divide 777 by 7: 777 ÷ 7 : Remainder = 0
• Divide 777 by 21: 777 ÷ 21 : Remainder = 0
• Divide 777 by 37: 777 ÷ 37 : Remainder = 0
• Divide 777 by 111: 777 ÷ 111 : Remainder = 0
• Divide 777 by 259: 777 ÷ 259 : Remainder = 0
• Divide 777 by 777: 777 ÷ 777 : Remainder = 0

Hence, Factors of 777 are 1, 3, 7, 21, 37, 111, 259, and 777

#### 2. Steps to find factors of 777 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 777 using the division method, follow these steps:

• Step 1. Start dividing 777 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 777, which is 3. Divide 777 by 3 to obtain the quotient (259).
777 ÷ 3 = 259
• Step 3. Repeat step 1 with the obtained quotient (259).
259 ÷ 7 = 37
37 ÷ 37 = 1

So, the prime factorization of 777 is, 777 = 3 x 7 x 37.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 777 as shown below:

So, the prime factorization of 777 is, 777 = 3 x 7 x 37.

#### 3. Find factors of 777 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 777 would be the two numbers which, when multiplied, give 777 as the result.

The following table represents the calculation of factors of 777 in pairs:

Factor Pair Pair Factorization
1 and 777 1 x 777 = 777
3 and 259 3 x 259 = 777
7 and 111 7 x 111 = 777
21 and 37 21 x 37 = 777

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 777. They are called negative pair factors.

Hence, the negative pairs of 777 would be ( -1 , -777 ) , ( -3 , -259 ) , ( -7 , -111 ) and ( -21 , -37 ) .

#### How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 7, 21, 37, 111, 259, 777 are exact divisors of 777.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 777 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 777.

• What are the prime factors of 777?

The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777.
Prime factors of 777 are 3, 7, 37.

• What two numbers make 777?

Two numbers that make 777 are 3 and 259.

• What is the greatest prime factors of 777?

The greatest prime factor of 777 is 37.

• What are factors of 777?

Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777.

• How do you find factors of a negative number? ( eg. -777 )?

Factors of -777 are -1, -3, -7, -21, -37, -111, -259, -777.

• What are five multiples of 777?

First five multiples of 777 are 1554, 2331, 3108, 3885, 4662.

• Write some multiples of 777?

First five multiples of 777 are 1554, 2331, 3108, 3885.

• Is 777 a perfect square?

No 777 is not a perfect square.

• What two numbers make 777?

Two numbers that make 777 are 3 and 259.

#### Examples of Factors

What is prime factorization of 777?

Prime factorization of 777 is 3 x 7 x 37 = 3 x 7 x 37.

Sammy is puzzled while calculating the prime factors of 777. Can you help him find them?

Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777.
Prime factors of 777 are 3, 7, 37

Kevin has been asked to write 7 factor(s) of 777. Can you predict the answer?

7 factor(s) of 777 are 1, 3, 7, 21, 37, 111, 259.

Joey wants to write all the prime factors of 777 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 777 are 3, 7, 37.
So in exponential form it can be written as 3 x 7 x 37.

How many factors are there for 777?

Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 777? Help her in writing all the factors.

Positive factors are 1, 3, 7, 21, 37, 111, 259, 777.
Negative factors are -1, -3, -7, -21, -37, -111, -259, -777.

Can you help Rubel to find out the product of the even factors of 777?

Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777.
Even factors of 777 are 0.
Hence, product of even factors of 777 is; 0 = 0.