# Factors of 671

Factors of 671 are 1, 11, 61, and 671

#### How to find factors of a number

 1.   Find factors of 671 using Division Method 2.   Find factors of 671 using Prime Factorization 3.   Find factors of 671 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 671

• Divide 671 by 1: 671 ÷ 1 : Remainder = 0
• Divide 671 by 11: 671 ÷ 11 : Remainder = 0
• Divide 671 by 61: 671 ÷ 61 : Remainder = 0
• Divide 671 by 671: 671 ÷ 671 : Remainder = 0

Hence, Factors of 671 are 1, 11, 61, and 671

#### 2. Steps to find factors of 671 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 671 using the division method, follow these steps:

• Step 1. Start dividing 671 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 671, which is 11. Divide 671 by 11 to obtain the quotient (61).
671 ÷ 11 = 61
• Step 3. Repeat step 1 with the obtained quotient (61).
61 ÷ 61 = 1

So, the prime factorization of 671 is, 671 = 11 x 61.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 671 as shown below:

So, the prime factorization of 671 is, 671 = 11 x 61.

#### 3. Find factors of 671 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 671 would be the two numbers which, when multiplied, give 671 as the result.

The following table represents the calculation of factors of 671 in pairs:

Factor Pair Pair Factorization
1 and 671 1 x 671 = 671
11 and 61 11 x 61 = 671

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 671. They are called negative pair factors.

Hence, the negative pairs of 671 would be ( -1 , -671 ) , ( -11 , -61 ) .

#### How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

#### Properties of factors

• Every number is a factor of zero (0), since 671 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, 11, 61, 671 are exact divisors of 671.
• Factors of 671 are 1, 11, 61, 671. Each factor divides 671 without leaving a remainder.

• What are the pair factors of 671?

Pair factors of 671 are (1,671), (11,61).

• What are five multiples of 671?

First five multiples of 671 are 1342, 2013, 2684, 3355, 4026.

• What two numbers make 671?

Two numbers that make 671 are 11 and 61.

• What is the sum of all factors of 671?

The sum of all factors of 671 is 744.

• What are factors of -671?

Factors of -671 are -1, -11, -61, -671.

• What are factors of 671?

Factors of 671 are 1, 11, 61, 671.

• Is 671 a perfect square?

No 671 is not a perfect square.

• Which is the smallest prime factor of 671?

Smallest prime factor of 671 is 11.

• Which is greatest factor of 671?

The greatest factor of 671 is 61.

#### Examples of Factors

Can you help Sammy find out the product of the odd factors of 671?

Factors of 671 are 1, 11, 61, 671.
Odd factors of 671 are 1, 11, 61, 671.
Hence product of odd factors of 671 is; 1 x 11 x 61 x 671 = 450241.

Joey wants to write all the prime factors of 671 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 671 are 11, 61.
So in exponential form it can be written as 11 x 61.

How many factors are there for 671?

Factors of 671 are 1, 11, 61, 671.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 671. Can you predict the answer?

3 factor(s) of 671 are 1, 11, 61.

Sammy is puzzled while calculating the prime factors of 671. Can you help him find them?

Factors of 671 are 1, 11, 61, 671.
Prime factors of 671 are 11, 61

What is prime factorization of 671?

Prime factorization of 671 is 11 x 61 = 11 x 61.

Can you help Rubel to find out the product of the even factors of 671?

Factors of 671 are 1, 11, 61, 671.
Even factors of 671 are 0.
Hence, product of even factors of 671 is; 0 = 0.