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

Apply Now

Factors

What are the Factors of 68 | Prime Factorization and Factor Tree of 68

Written by Prerit Jain

Updated on: 12 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
What are the Factors of 68 | Prime Factorization and Factor Tree of 68

What are the Factors of 68 | Prime Factorization and Factor Tree of 68

Factors of 68 are the numerals that will divide the number 68 to give the remainder as a whole number. These factors of the number can be divided by the original number without leaving any remainder. And when it comes to multiplying those factors in pairs, we will get the original number as a result. 68 is also a composite number with factors that are both negative and positive. Let us learn how to find factors of 68 along with solved examples.

What Are the Factors of 68?

Factors are the numbers that divide the original number without leaving any remainder. In the case of 68, the numbers 1, 2, 4, 17, 34, and 68 are the numbers that divide the number 68 without leaving any remainder. Therefore, the number 68 has six factors, and they are 1, 2, 4, 17, 34, and 68.

Since 68 is a composite number, it has more than 2 factors, which are both positive and negative. Hence, the positive and negative factors of 68 are given below:

Positive 68 Factors Negative 68 Factors
1-1
2-2
4-4
17-17
34-34
68-68
Positive and Negative Factors of 68

Write Factors of 68 in Pairs?

Here are the pairs factors of 68:

Positive Pair Factors of 68

the positive 68 pair factors are (1, 68), (2, 34), and (4, 17).

Positive Pair Factors of 68

Negative Pair Factors of 68

The negative 68 pair factors are (-1, -68), (-2, -34), and (-4, -17).

Negative Pair Factors of 68

How To Find Factors of 68 by Division method?

You can find 68 factors through the division method. For that, you will have to divide the number 68 by the sequence of natural numbers up to 68. A number that is divided by 68 and doesn’t leave any remainder are considered as 68 factors. The details on how to find factors of number 68 are given below:

  • 68 ÷ 1 = 68
  • 68 ÷ 2 = 34
  • 68 ÷ 4 = 17
  • 68 ÷ 17 = 4
  • 68 ÷ 34 = 2

As we can see, none of these numbers leaves a remainder after division, so that means 1, 2, 4, 17, 34, and 68 are the 68 factors.

What Is the Prime Factorisation of 68?

To find prime factors of 68, we will be using prime factorization method. The steps to find prime factors of 68 are given below:

  • Step 1: Divide the number 68 with the least prime number. Hence, the least prime number that is divisible by 68 is 2.
  • Step 2: When 68 is divided by 2, we will get the number 34.
  • Step 3: Since 34 is a composite number, we have to split it again.
  • Step 4: We’ll divide 34 into 2 and 17.
  • Step 5: Since 2 and 17 are prime numbers, we cannot split them.

Hence the prime factors of 68 are 2 X 2 X 17 = 68.

Below is a picture for you to understand it more briefly:

Prime Factorization of 68

Write the Factor Tree of 68.

We can also find the prime factors of the number 68 using the factor tree method. The steps to find prime factors of number 68 using the factor tree method are given below:

  • Step 1: Place the number 68 at the top of the factor tree.
  • Step 2: Now, as the tree branches, we will write down the pair factors of 2. Here we are using the pair factor 2 and 34 as the first branch of 68.
  • Step 3: Since 2 is a prime number, we can no longer separate it.
  • Step 4: But we can split 34 into 2 and 17. Since 2 and 17 are prime numbers, we can not split them anymore.

Hence, circling all the branches gives us factors 2, 2, and 17. Therefore, the prime factors of 68 using a factor tree are 2 X 2 X 17 = 68.

The factor tree of 68 is given below:

Factor tree of 68

Solved Examples on Factors of 68

Here are some solved examples of 68 factors.

What is the sum of all the Factors of 68?
Factors
of number 68 are 1, 2, 4, 17, 34, and 68.
Hence adding 1 + 2 + 4 + 17 + 34 + 68 = 126
The sum of factors of 68 is 126.

What are the factors and prime factors of 68?
The factors of 68 are 1, 2, 4, 17, 34, and 68.
The 68 prime factors are 2, 2, and 17.

What is the highest common factor between 78 and 68?
78 factors: 1, 2, 3, 6, 13, 26, 39, and 78.
68 factors: 1, 2, 4, 17, 34, and 68.
Hence the common factors of 4 and 6 are 1, and 2.
Therefore the highest common factor between 78 and 68 is 2.

What’s the highest common factor of 24 and 68?
Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24.
68 Factors: 1, 2, 4, 17, 34, and 68.
From the above, the common factors of 24 and 68 are 1, 2, and 4.
Hence the highest common factor of 24 and 68 is 4.

What’s the highest common factor of 56 and 68?
Factors of 56: 1, 2, 4, 7, 8, 14, 28, and 56.
Factors of 68: 1, 2, 4, 17, 34, and 68.
From the above, the common factors of 56 and 68 are 1, 2, and 4.
Hence the highest common factor of 56 and 68 is 4.

FAQs on Factors of 68

The frequently asked questions on 68 factors are given below:

List all the factors of 68
1, 2, 4, 17, 34, and 68 are 68 factors.

What are the composite factors of 68?
4, 34, and 66 are the composite 68 factors.

What are the factors of 68 in pairs?
(1, 68), (2, 34), and (4, 17) are the only pair of 68.

What are the positive factors of 68?
1, 2, 4, 17, 34, and 68 are the positive 68 factors.

What are the highest common factors of 15 and 68?
1 is the HFC between 15 and 68.

Now that you are provided with all the necessary information on factors of 68 and we hope this article is helpful to you. If you have any questions related to this page, ping us through the comment box below and we will get back to you as soon as possible.

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-68/

Written by

Prerit Jain

Share article on

tutor Pic
tutor Pic