# Factors of 677

Factors of 677 are 1 and 677

#### How to find factors of a number

 1.   Find factors of 677 using Division Method 2.   Find factors of 677 using Prime Factorization 3.   Find factors of 677 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 677

• Divide 677 by 1: 677 ÷ 1 : Remainder = 0
• Divide 677 by 677: 677 ÷ 677 : Remainder = 0

Hence, Factors of 677 are 1 and 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:

Factor Pair Pair Factorization
1 and 677 1 x 677 = 677

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.

• 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

Joy wants to calculate mean of all the factors of 677. Help him in finding the mean of 677.

Factors of 677 are 1, 677.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 677 is 1 + 677 = 678.
Hence, the mean of factors of 677 is 678 ÷ 2 = 339.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 677? Help her in writing all the factors.

Positive factors are 1, 677.
Negative factors are -1, -677.

Joey wants to write all the prime factors of 677 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 677 are 677.
So in exponential form it can be written as 677.

Kevin has been asked to write 1 factor(s) of 677. Can you predict the answer?

1 factor(s) of 677 is 1.

Sammy is puzzled while calculating the prime factors of 677. Can you help him find them?

Factors of 677 are 1, 677.
Prime factors of 677 are 677

What is prime factorization of 677?

Prime factorization of 677 is 677 = 677.

Can you help Rubel to find out the product of the even factors of 677?

Factors of 677 are 1, 677.
Even factors of 677 are 0.
Hence, product of even factors of 677 is; 0 = 0.