Factors of 1997

2. Steps to find factors of 1997 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 1997 using the division method, follow these steps:

• Step 1. Start dividing 1997 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 1997, which is 1997. Divide 1997 by 1997 to obtain the quotient (1).
  1997 ÷ 1997 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 1997 is, 1997 = 1997.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1997 as shown below:

So, the prime factorization of 1997 is, 1997 = 1997.

3. Find factors of 1997 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 1997 would be the two numbers which, when multiplied, give 1997 as the result.

The following table represents the calculation of factors of 1997 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 1997. They are called negative pair factors.

Hence, the negative pairs of 1997 would be ( -1 , -1997 ) , .

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, 1997 are exact divisors of 1997.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 1997 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 1997.

Frequently Asked Questions

• What is prime factorization of 1997?

  Prime factorization of 1997 is 1997.

• How do you find factors of a negative number? ( eg. -1997 )?

  Factors of -1997 are -1, -1997.

• What are the prime factors of 1997?

  The factors of 1997 are 1, 1997.
  Prime factors of 1997 are 1997.

• What are pair factors of 1997?

  The pair factors of 1997 are (1,1997).

• What is the greatest prime factors of 1997?

  The greatest prime factor of 1997 is 1997.

• What are six multiples of 1997?

  First five multiples of 1997 are 3994, 5991, 7988, 9985, 11982, 13979.

• What are factors of 1997?

  Factors of 1997 are 1, 1997.

• Which is the smallest prime factor of 1997?

  Smallest prime factor of 1997 is 1997.

• Is 1997 a whole number?

  Yes 1997 is a whole number.

Examples of Factors