Factors of 789

2. Steps to find factors of 789 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 789 using the division method, follow these steps:

• Step 1. Start dividing 789 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 789, which is 3. Divide 789 by 3 to obtain the quotient (263).
  789 ÷ 3 = 263
• Step 3. Repeat step 1 with the obtained quotient (263).
  263 ÷ 263 = 1

So, the prime factorization of 789 is, 789 = 3 x 263.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 789 as shown below:

So, the prime factorization of 789 is, 789 = 3 x 263.

3. Find factors of 789 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 789 would be the two numbers which, when multiplied, give 789 as the result.

The following table represents the calculation of factors of 789 in pairs:

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 789. They are called negative pair factors.

Hence, the negative pairs of 789 would be ( -1 , -789 ) , ( -3 , -263 ) .

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, 3, 263, 789 are exact divisors of 789.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 789 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 789.

Frequently Asked Questions

• How do you find factors of a negative number? ( eg. -789 )?

  Factors of -789 are -1, -3, -263, -789.

• What is the sum of all factors of 789?

  The sum of all factors of 789 is 1056.

• What is prime factorization of 789?

  Prime factorization of 789 is 3 x 263.

• What are the pair factors of 789?

  Pair factors of 789 are (1,789), (3,263).

• What are six multiples of 789?

  First five multiples of 789 are 1578, 2367, 3156, 3945, 4734, 5523.

• Is 789 a whole number?

  Yes 789 is a whole number.

• Which is the smallest prime factor of 789?

  Smallest prime factor of 789 is 3.

• What are five multiples of 789?

  First five multiples of 789 are 1578, 2367, 3156, 3945, 4734.

• Write all factors of 789?

  Factors of 789 are 1, 3, 263, 789.

Examples of Factors