# Factors of 997

Factors of 997 are 1 and 997

#### How to find factors of a number

 1.   Find factors of 997 using Division Method 2.   Find factors of 997 using Prime Factorization 3.   Find factors of 997 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 997

• Divide 997 by 1: 997 ÷ 1 : Remainder = 0
• Divide 997 by 997: 997 ÷ 997 : Remainder = 0

Hence, Factors of 997 are 1 and 997

#### 2. Steps to find factors of 997 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 997 using the division method, follow these steps:

• Step 1. Start dividing 997 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 997, which is 997. Divide 997 by 997 to obtain the quotient (1).
997 ÷ 997 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 997 is, 997 = 997.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 997 as shown below:

So, the prime factorization of 997 is, 997 = 997.

#### 3. Find factors of 997 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 997 would be the two numbers which, when multiplied, give 997 as the result.

The following table represents the calculation of factors of 997 in pairs:

Factor Pair Pair Factorization
1 and 997 1 x 997 = 997

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 997. They are called negative pair factors.

Hence, the negative pairs of 997 would be ( -1 , -997 ) , .

#### 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, 997 are exact divisors of 997.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 997 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 997.

#### Frequently Asked Questions

• Which is the smallest prime factor of 997?

The smallest prime factor of 997 is 997.

• Is 997 a whole number?

Yes 997 is a whole number.

• What are the prime factors of 997?

The factors of 997 are 1, 997.
Prime factors of 997 are 997.

• What two numbers make 997?

Two numbers that make 997 are 997 and 1.

• What are multiples of 997?

First five multiples of 997 are 1994, 2991, 3988, 4985.

• What is the sum of all factors of 997?

The sum of all factors of 997 is 998.

• What are five multiples of 997?

First five multiples of 997 are 1994, 2991, 3988, 4985, 5982.

• Is 997 a perfect square?

No 997 is not a perfect square.

• What is the greatest prime factors of 997?

The greatest prime factor of 997 is 997.

#### Examples of Factors

How many factors are there for 997?

Factors of 997 are 1, 997.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 997. Can you predict the answer?

1 factor(s) of 997 is 1.

Sammy is puzzled while calculating the prime factors of 997. Can you help him find them?

Factors of 997 are 1, 997.
Prime factors of 997 are 997

What is prime factorization of 997?

Prime factorization of 997 is 997 = 997.

Ariel has been assigned the task to find the product of all the prime factors of 997. Can you help her?

Prime factors of 997 are 997.
Hence, the product of prime factors of 997.

Can you help Rubel to find out the product of the even factors of 997?

Factors of 997 are 1, 997.
Even factors of 997 are 0.
Hence, product of even factors of 997 is; 0 = 0.

Joy wants to calculate mean of all the factors of 997. Help him in finding the mean of 997.

Factors of 997 are 1, 997.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 997 is 1 + 997 = 998.
Hence, the mean of factors of 997 is 998 ÷ 2 = 499.00.

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