Factors of 677

2. Steps to find factors of 677 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 677 using the division method, follow these steps:

• Step 1. Start dividing 677 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 677, which is 677. Divide 677 by 677 to obtain the quotient (1).
  677 ÷ 677 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 677 is, 677 = 677.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 677 as shown below:

So, the prime factorization of 677 is, 677 = 677.

3. Find factors of 677 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 677 would be the two numbers which, when multiplied, give 677 as the result.

The following table represents the calculation of factors of 677 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 677. They are called negative pair factors.

Hence, the negative pairs of 677 would be ( -1 , -677 ) , .

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, 677 are exact divisors of 677.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 677 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 677.

Frequently Asked Questions

• What two numbers make 677?

  Two numbers that make 677 are 677 and 1.

• What is prime factorization of 677?

  Prime factorization of 677 is 677.

• Write some multiples of 677?

  First five multiples of 677 are 1354, 2031, 2708, 3385.

• Which is the smallest prime factor of 677?

  The smallest prime factor of 677 is 677.

• Is 677 a perfect square?

  No 677 is not a perfect square.

• What is the sum of all factors of 677?

  The sum of all factors of 677 is 678.

• What are factors of 677?

  Factors of 677 are 1, 677.

• How do you find factors of a negative number? ( eg. -677 )?

  Factors of -677 are -1, -677.

• Is 677 a whole number?

  Yes 677 is a whole number.

Examples of Factors