1. Steps to find factors of 197 using Division Method

Example: Find factors of 197

  • Divide 197 by 1: 197 ÷ 1 : Remainder = 0
  • Divide 197 by 197: 197 ÷ 197 : Remainder = 0

Hence, Factors of 197 are 1 and 197

2. Steps to find factors of 197 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 197 using the division method, follow these steps:

  • Step 1. Start dividing 197 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 197, which is 197. Divide 197 by 197 to obtain the quotient (1).
    197 ÷ 197 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 197 is, 197 = 197.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 197 as shown below:

So, the prime factorization of 197 is, 197 = 197.

3. Find factors of 197 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 197 would be the two numbers which, when multiplied, give 197 as the result.

The following table represents the calculation of factors of 197 in pairs:

Factor Pair Pair Factorization
1 and 197 1 x 197 = 197

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 197. They are called negative pair factors.

Hence, the negative pairs of 197 would be ( -1 , -197 ) , .

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, 197 are exact divisors of 197.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 197 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 197.

Frequently Asked Questions

  • What is prime factorization of 197?

    Prime factorization of 197 is 197.

  • How do you find factors of a negative number? ( eg. -197 )?

    Factors of -197 are -1, -197.

  • What are the prime factors of 197?

    The factors of 197 are 1, 197.
    Prime factors of 197 are 197.

  • What are pair factors of 197?

    The pair factors of 197 are (1,197).

  • What is the greatest prime factors of 197?

    The greatest prime factor of 197 is 197.

  • What are six multiples of 197?

    First five multiples of 197 are 394, 591, 788, 985, 1182, 1379.

  • What are factors of 197?

    Factors of 197 are 1, 197.

  • Which is the smallest prime factor of 197?

    Smallest prime factor of 197 is 197.

  • Is 197 a whole number?

    Yes 197 is a whole number.

Examples of Factors

Kevin has been asked to write 1 factor(s) of 197. Can you predict the answer?

1 factor(s) of 197 is 1.

Sammy is puzzled while calculating the prime factors of 197. Can you help him find them?

Factors of 197 are 1, 197.
Prime factors of 197 are 197

What is prime factorization of 197?

Prime factorization of 197 is 197 = 197.

Ariel has been assigned the task to find the product of all the prime factors of 197. Can you help her?

Prime factors of 197 are 197.
Hence, the product of prime factors of 197.

Can you help Rubel to find out the product of the even factors of 197?

Factors of 197 are 1, 197.
Even factors of 197 are 0.
Hence, product of even factors of 197 is; 0 = 0.

Joy wants to calculate mean of all the factors of 197. Help him in finding the mean of 197.

Factors of 197 are 1, 197.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 197 is 1 + 197 = 198.
Hence, the mean of factors of 197 is 198 ÷ 2 = 99.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 197? Help her in writing all the factors.

Positive factors are 1, 197.
Negative factors are -1, -197.