# Factors of 2017

Factors of 2017 are 1 and 2017

#### How to find factors of a number

 1.   Find factors of 2017 using Division Method 2.   Find factors of 2017 using Prime Factorization 3.   Find factors of 2017 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 2017

• Divide 2017 by 1: 2017 ÷ 1 : Remainder = 0
• Divide 2017 by 2017: 2017 ÷ 2017 : Remainder = 0

Hence, Factors of 2017 are 1 and 2017

#### 2. Steps to find factors of 2017 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 2017 using the division method, follow these steps:

• Step 1. Start dividing 2017 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 2017, which is 2017. Divide 2017 by 2017 to obtain the quotient (1).
2017 ÷ 2017 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 2017 is, 2017 = 2017.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 2017 as shown below:

So, the prime factorization of 2017 is, 2017 = 2017.

#### 3. Find factors of 2017 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 2017 would be the two numbers which, when multiplied, give 2017 as the result.

The following table represents the calculation of factors of 2017 in pairs:

Factor Pair Pair Factorization
1 and 2017 1 x 2017 = 2017

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 2017. They are called negative pair factors.

Hence, the negative pairs of 2017 would be ( -1 , -2017 ) , .

#### 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, 2017 are exact divisors of 2017.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 2017 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 2017.

• What are the prime factors of 2017?

The factors of 2017 are 1, 2017.
Prime factors of 2017 are 2017.

• What is the sum of all factors of 2017?

The sum of all factors of 2017 is 2018.

• What are the pair factors of 2017?

Pair factors of 2017 are (1,2017).

• What two numbers make 2017?

Two numbers that make 2017 are 2017 and 1.

• What are multiples of 2017?

First five multiples of 2017 are 4034, 6051, 8068, 10085.

• Is 2017 a perfect square?

No 2017 is not a perfect square.

• Which is greatest factor of 2017?

The greatest factor of 2017 is 1.

• How do you factors of 2017?

Factors of 2017 are 1, 2017.

• What are five multiples of 2017?

First five multiples of 2017 are 4034, 6051, 8068, 10085, 12102.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 2017?

Factors of 2017 are 1, 2017.
Even factors of 2017 are 0.
Hence, product of even factors of 2017 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 2017? Help her in writing all the factors.

Positive factors are 1, 2017.
Negative factors are -1, -2017.

How many factors are there for 2017?

Factors of 2017 are 1, 2017.
So there are in total 2 factors.

Sammy is puzzled while calculating the prime factors of 2017. Can you help him find them?

Factors of 2017 are 1, 2017.
Prime factors of 2017 are 2017

Joey wants to write all the prime factors of 2017 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 2017 are 2017.
So in exponential form it can be written as 2017.

What is prime factorization of 2017?

Prime factorization of 2017 is 2017 = 2017.

Can you help Rubel to find out the product of the even factors of 2017?

Factors of 2017 are 1, 2017.
Even factors of 2017 are 0.
Hence, product of even factors of 2017 is; 0 = 0.