# Factors of 769

Factors of 769 are 1 and 769

#### How to find factors of a number

 1.   Find factors of 769 using Division Method 2.   Find factors of 769 using Prime Factorization 3.   Find factors of 769 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 769

• Divide 769 by 1: 769 ÷ 1 : Remainder = 0
• Divide 769 by 769: 769 ÷ 769 : Remainder = 0

Hence, Factors of 769 are 1 and 769

#### 2. Steps to find factors of 769 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 769 using the division method, follow these steps:

• Step 1. Start dividing 769 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 769, which is 769. Divide 769 by 769 to obtain the quotient (1).
769 ÷ 769 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 769 is, 769 = 769.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 769 as shown below:

So, the prime factorization of 769 is, 769 = 769.

#### 3. Find factors of 769 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 769 would be the two numbers which, when multiplied, give 769 as the result.

The following table represents the calculation of factors of 769 in pairs:

Factor Pair Pair Factorization
1 and 769 1 x 769 = 769

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 769. They are called negative pair factors.

Hence, the negative pairs of 769 would be ( -1 , -769 ) , .

#### How can we define factors?

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

#### Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 769 are exact divisors of 769.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 769 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 769.

• Is 769 a perfect square?

No 769 is not a perfect square.

• What are factors of 769?

Factors of 769 are 1, 769.

• Which is greatest factor of 769?

The greatest factor of 769 is 1.

• What is the sum of all factors of 769?

The sum of all factors of 769 is 770.

• What are multiples of 769?

First five multiples of 769 are 1538, 2307, 3076, 3845.

• What is the greatest prime factors of 769?

The greatest prime factor of 769 is 769.

• What are six multiples of 769?

First five multiples of 769 are 1538, 2307, 3076, 3845, 4614, 5383.

• What is prime factorization of 769?

Prime factorization of 769 is 769.

• Is 769 a whole number?

Yes 769 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 769? Help her in writing all the factors.

Positive factors are 1, 769.
Negative factors are -1, -769.

Can you help Sammy find out the product of the odd factors of 769?

Factors of 769 are 1, 769.
Odd factors of 769 are 1, 769.
Hence product of odd factors of 769 is; 1 x 769 = 769.

Joey wants to write all the prime factors of 769 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 769 are 769.
So in exponential form it can be written as 769.

How many factors are there for 769?

Factors of 769 are 1, 769.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 769. Can you predict the answer?

1 factor(s) of 769 is 1.

Sammy is puzzled while calculating the prime factors of 769. Can you help him find them?

Factors of 769 are 1, 769.
Prime factors of 769 are 769

What is prime factorization of 769?

Prime factorization of 769 is 769 = 769.