Factors of 787

2. Steps to find factors of 787 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 787 using the division method, follow these steps:

• Step 1. Start dividing 787 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 787, which is 787. Divide 787 by 787 to obtain the quotient (1).
  787 ÷ 787 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 787 is, 787 = 787.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 787 as shown below:

So, the prime factorization of 787 is, 787 = 787.

3. Find factors of 787 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 787 would be the two numbers which, when multiplied, give 787 as the result.

The following table represents the calculation of factors of 787 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 787. They are called negative pair factors.

Hence, the negative pairs of 787 would be ( -1 , -787 ) , .

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 number is a factor of zero (0), since 787 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, 787 are exact divisors of 787.
• Factors of 787 are 1, 787. Each factor divides 787 without leaving a remainder.

Frequently Asked Questions

• Is 787 a perfect square?

  No 787 is not a perfect square.

• What are factors of 787?

  Factors of 787 are 1, 787.

• Which is greatest factor of 787?

  The greatest factor of 787 is 1.

• What is the sum of all factors of 787?

  The sum of all factors of 787 is 788.

• What are multiples of 787?

  First five multiples of 787 are 1574, 2361, 3148, 3935.

• What is the greatest prime factors of 787?

  The greatest prime factor of 787 is 787.

• What are six multiples of 787?

  First five multiples of 787 are 1574, 2361, 3148, 3935, 4722, 5509.

• What is prime factorization of 787?

  Prime factorization of 787 is 787.

• Is 787 a whole number?

  Yes 787 is a whole number.

Examples of Factors