#FutureSTEMLeaders - Wiingy's $2400 scholarship for School and College Students

Apply Now

Factors

Factors of 97 | Prime Factorization of 97 | Factor Tree of 97

Written by Prerit Jain

Updated on: 24 Aug 2023

Contents

1Factors of 12Factors of 23Factors of 34Factors of 45Factors of 56Factors of 67Factors of 78Factors of 89Factors of 910Factors of 1011Factors of 1112Factors of 1213Factors of 1314Factors of 1415Factors of 1516Factors of 1617Factors of 1718Factors of 1819Factors of 1920Factors of 2021Factors of 2122Factors of 2223Factors of 2324Factors of 2425Factors of 2526Factors of 2627Factors of 2728Factors of 2829Factors of 2930Factors of 3031Factors of 3132Factors of 3233Factors of 3334Factors of 3435Factors of 3536Factors of 3637Factors of 3738Factors of 3839Factors of 3940Factors of 4041Factors of 4142Factors of 4243Factors of 4344Factors of 4445Factors of 4546Factors of 4647Factors of 4748Factors of 4849Factors of 4950Factors of 5051Factors of 5152Factors of 5253Factors of 5354Factors of 5455Factors of 5556Factors of 5657Factors of 5758Factors of 5859Factors of 5960Factors of 6061Factors of 6162Factors of 6263Factors of 6364Factors of 6465Factors of 6566Factors of 6667Factors of 6768Factors of 6869Factors of 6970Factors of 7071Factors of 7172Factors of 7273Factors of 7474Factors of 7575Factors of 7676Factors of 7777Factors of 7878Factors of 7979Factors of 8080Factors of 8181Factors of 8282Factors of 8383Factors of 8484Factors of 8585Factors of 8686Factors of 8787Factors of 8888Factors of 8989Factors of 9090Factors of 9191Factors of 9292Factors of 9493Factors of 9694Factors of 9795Factors of 9896Factors of 9997Factors of 10098Factors of 10199Factors of 102100Factors of 103101Factors of 104102Factors of 105103Factors of 106104Factors of 107105Factors of 108106Factors of 109107Factors of 110108Factors of 111109Factors of 112110Factors of 113111Factors of 114112Factors of 115113Factors of 116114Factors of 117115Factors of 118116Factors of 119117Factors of 120118Factors of 122119Factors of 123120Factors of 124121Factors of 125122Factors of 126123Factors of 127124Factors of 128125Factors of 129126Factors of 130127Factors of 131128Factors of 132129Factors of 133130Factors of 134131Factors of 135132Factors of 136133Factors of 137134Factors of 138135Factors of 139136Factors of 140137Factors of 141138Factors of 142139Factors of 143140Factors of 144141Factors of 145142Factors of 146143Factors of 147144Factors of 148145Factors of 149146Factors of 150147Factors of 151148Factors of 152149Factors of 153150Factors of 154151Factors of 155152Factors of 156153Factors of 157154Factors of 158155Factors of 159156Factors of 160157Factors of 161158Factors of 162159Factors of 163160Factors of 167161Factors of 168162Factors of 169163Factors of 170164Factors of 172165Factors of 174166Factors of 176167Factors of 178168Factors of 180169Factors of 182170Factors of 184171Factors of 186172Factors of 188173Factors of 190174Factors of 192175Factors of 194176Factors of 196177Factors of 197178Factors of 200179Factors of 215180Factors of 216181Factors of 415
Factors of 97 | Prime Factorization of 97 | Factor Tree of 97

Factors of 97 | Prime Factorization of 97 | Factor Tree of 97

Factors of 97

Factors of 97Factor Pairs of 97 Prime factors of 97
1 and 97(1,97)97
Factors of 97, Factor Pairs of 97, Prime factors of 97

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-97/

What are the factors of 97

Factors are numbers that can be divided evenly into other numbers. So to find the factors of 97, we need to find all of the numbers that can be divided evenly into 97.

Here are the factors of 97:

1 and 97

We can check this by dividing 97 by each of these numbers. For example, if we divide 97 by 1, we get 97. If we divide 97 by 3, we get 32 with a remainder of 1. If we divide 97 by 11, we get 8 with a remainder of 5. And so on.

How to Find Factors of 97

The following are the methods through which you can find the factors of 97: 

  1. Factors of 97 using the Multiplication Method
  2. Factors of 97 using the Division Method
  3. Prime Factorization of 97
  4. Factor tree of 97

Factors of 97 Using the Multiplication Method

  1. Divide 97 by 1. 97 divided by 1 is equal to 97, so 1 is a factor of 97.
  2. Divide 97 by 2. 97 divided by 2 is equal to 48 with a remainder of 1, so 2 is not a factor of 97.
  3. Divide 97 by 3. 97 divided by 3 is equal to 32 with a remainder of 1, so 3 is a factor of 97.
  4. Divide 97 by 4. 97 divided by 4 is equal to 24 with a remainder of 1, so 4 is not a factor of 97.
  5. Divide 97 by 5. 97 divided by 5 is equal to 19 with a remainder of 2, so 5 is not a factor of 97.
  6. Divide 97 by 6. 97 divided by 6 is equal to 16 with a remainder of 1, so 6 is a factor of 97.

We can continue this process until we reach 97, checking each number to see if it is a factor of 97.

The factors of 97 are therefore 1 and 97.

This method can be time-consuming, especially for larger numbers, as it requires us to divide the number by every integer from 1 up to the number itself. The prime factorization and multiplication methods are usually faster and more efficient for finding the factors of a number.

Factors of 97 Using the Division Method

To find the factors of 97 using the division method, we can follow these steps:

  1. Divide 97 by 1. 97 divided by 1 is equal to 97, so 1 is a factor of 97.
  2. Divide 97 by 2. 97 divided by 2 is equal to 48 with a remainder of 1, so 2 is not a factor of 97.
  3. Divide 97 by 3. 97 divided by 3 is equal to 32 with a remainder of 1, so 3 is a factor of 97.
  4. Divide 97 by 4. 97 divided by 4 is equal to 24 with a remainder of 1, so 4 is not a factor of 97.
  5. Divide 97 by 5. 97 divided by 5 is equal to 19 with a remainder of 2, so 5 is not a factor of 97.
  6. Divide 97 by 6. 97 divided by 6 is equal to 16 with a remainder of 1, so 6 is a factor of 97.

We can continue this process until we reach 97, checking each number to see if it is a factor of 97.

The factors of 97 are therefore 1 and 97.

This method can be time-consuming, especially for larger numbers, as it requires us to divide the number by every integer from 1 up to the number itself. The prime factorization and multiplication methods are usually faster and more efficient for finding the factors of a number.

Prime Factorization of 97

Calculate Prime Factors of

The Prime Factors of 97 =

97

https://wiingy.com/learn/math/factors-of-97/

Prime factorization is a method for finding the factors of a number by expressing the number as a product of its prime factors. Prime numbers are numbers that are only divisible by 1 and themselves, such as 2, 3, 5, 7, and 11.

To find the prime factorization of 97, you start by dividing the number by prime numbers starting from 2 and going up. However, since 97 is a prime number itself, its prime factorization is simply 97. Prime factorization is the representation of a number as a product of its prime factors, and since 97 cannot be divided evenly by any other number except 1 and itself, it is already in its prime factorization form.

Factor tree of 97

97
https://wiingy.com/learn/math/factors-of-97/

A factor tree is a visual representation of the prime factorization of a number. It is basically a  tree-like diagram that shows how the number can be broken down into its prime factors.

To find the factor tree of 97, we start by determining its factors:

The factors of 97 are 1 and 97 itself.

Since 97 is a prime number, its factor tree will consist only of the number itself and 1.

Factor tree of 97: 97

In this case, the factor tree is simply a single branch with the number 97 at the top.

Factor Pairs of 97

Calculate Pair Factors of

1 x 97=97

So Pair Factors of 97 are

(1,97)

https://wiingy.com/learn/math/factors-of-97/

The factor pairs of a number are all the pairs of integers that can be multiplied together to equal the number. For example, the factor pairs of 12 are (1,12), (2,6), and (3,4).

To find the factor pairs of 97, we can follow these steps:

  1. Start with the number 1.
  2. Divide 97 by 1. The result is 97.
  3. The factor pair is (1, 97).
  4. Since 97 is a prime number, there are no other factor pairs

More Factors

Factors of 97 – Quick Recap

  • Factors of 97: 1 and 97.
  • Negative Factors of 97: -1 and -97
  • Prime Factors of 97: 1 and 97
  • Prime Factorization of 97: 1 and 97

Factors of 97 – Fun Facts

  • 97 has four factors, which is a relatively small number compared to other numbers. For example, the number 12 has six factors (1, 2, 3, 4, 6, and 12).
  • 97 is a prime number, which means that it has only two factors: 1 and itself. The other factors of 97 (2, 3, 6, 9, 18, 27, 54) are obtained by multiplying the prime factors of 97 (2 and 3) together.
  • 97 is a “happy number,” which means that it is a number that leads to 1 when a certain process is applied to it. The process involves replacing the number with the sum of the squares of its digits until either the number becomes 1 or it enters a repeating cycle. 97 becomes a happy number because it can be written as 9^2 + 7^2, which equals 82. 82 becomes a happy number because it can be written as 8^2 + 2^2, which equals 68. 68 becomes a happy number because it can be written as 6^2 + 8^2, which equals 100. 100 becomes a happy number because it can be written as 1^2 + 0^2 + 0^2, which equals 1.

Also Check: Multiples, Square Root, and LCM

Solved Examples of Factor of 97

2. John wants to divide a number by 3 in order to get a product of 97. Which number should he use?
Answer: John should use 291 as his dividend since dividing it by 3 yields an answer of 97 (291 ÷ 3 = 97).

3. Sarah needs to solve for X if 7x = 91. What does X equal?
Answer: X equals 13 since solving for X yields 13 when 7x =91 (7x=91; x=13).

4. George wants to know how many factors do 97 have? How many factors does it have?
Answer:
The factors of 97 are 1 and 97. Since 97 is a prime number, it only has these two factors.

5. Patricia needs to find the least common multiple for 24, and 32. What is it?
Answer: Prime factorization of 24: 24 = 2^3 * 3.Prime factorization of 32: 32 = 2^5. To find the LCM, we need to consider the highest power of each prime factor that appears in the factorization of either number. The LCM will be the product of these prime factors raised to their highest powers: LCM = 2^5 * 3 = 96.

6. Joe wants to determine if 98 is a factor of this number in order to find out whether or not the number can be divided evenly by 98.
Answer: No, 98 cannot be divided evenly into any number because 98 itself is not a factor of any number.

7. Jill wants to find the prime factorization of 100.
Answer: The prime factorization for 100 is 2 x 2 x 2 x 2 x 2 x 3 since 100 can only be equally divided by these six primes numbers.

8. Sam needs to find how many even numbers are among the list of factors for 95.
Answer: There are eight even numbers among the list of factors for 95 which are 2, 4 6 8 12 16 24, and 32. 

9. Bill wants to determine if 25 and 37 are part of the list of factors for 94?
Answer:
Yes, 25 and 37 belong in the list of factors for 94 as they both divide evenly into it. 

10. Emma has 97 apples which she wants to divide into equal parts. How many can she give each person?
Answer: Emma can give each person 7 apples since 97 is divisible by 7

Frequently Asked Questions on Factors of 97

Is 97 a prime number?

Yes, 97 is only divisible by 1 and 97, it meets the criteria of a prime number.

How many factors does 97 have?

Since 97 is a prime number, it only has two factors: 1 and 97. Prime numbers have exactly two factors because they are divisible only by 1 and themselves.

What are the factors of 97?

The factors of 97 are 1 and 97.

What is the prime factorization of 97?

The prime factorization of 97 is simply 97 itself. Since 97 is a prime number, it cannot be further factorized into smaller prime numbers.

Is there any perfect square within the factor of 97?

No, there is no perfect square within the factor of 97. The factors of 97 are 1 and 97, and neither of them is a perfect square.

How many even numbers are among the list of factors for 100?

2, 4, 10, 20, 50, and 100 are the six even numbers among the list of factors for 100.

Is there any odd number among the list of factors for 95?

Yes, there are all odd numbers among the list of factors for 95 which are 1, 5, 35, and 75.

Is 28 a factor of 94?

No, 28 is not a factor of 94 because it does not divide evenly into it.

Written by

Prerit Jain

Share article on

tutor Pic
tutor Pic