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Factors

Factors of 136 | Prime Factorization of 136 | Factor Tree of 136

Written by Prerit Jain

Updated on: 15 Feb 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 136 | Prime Factorization of 136 | Factor Tree of 136

Factors of 136 | Prime Factorization of 136 | Factor Tree of 136

Factors of 136

Factors of 136Factor Pairs of 136Prime factors of 136
1, 3, 5, 9, 15, 27, 45, and 136.(1,136) (2,68) (4,34) (8,17) (17,8) (34,4) (68,2)2 × 2 × 2 × 17

Calculate Factors of

The Factors are

https://wiingy.com/learn/math/factors-of-136/

What are the factors of 136

The factors of a number are the numbers that can divide the given number completely with no decimal digits in the quotient and with zero remainders. If you divide up this number – with one being at the start and then multiplying by two each time until it reaches its square root (which is 11.3) these numbers can be paired together to make whole factor pairs that equal 136. For example, when dividing 138 by 2 it will get 68 so (2,68) would be your pair for that equation! 

How to Find Factors of 136

Here are four methods that you can use to find the factors of 136:

  • Factor of 136 using Multiplication Method.
  • Factors of 136 using Division Method.
  • Prime Factorization of 136.
  • Factor tree of 136. 

Factors of 136 using Multiplication Method

Factors are the numbers that multiply together to form a certain number. To find out which factors belong to 136, 

  • We can use the multiplication method. All you have to do is take 1 and its friend (136) and join them up in pairs; then just multiply both of them together until each pair makes 136. 
  • That way, you’ll discover that those same two friends —1 & 136—are actually its only set of factors!

Factors of 136 Using Division Method

To find the factors of 136 using the division method, 

  • Start by dividing it by its divisors starting with 1 and working your way up to divide it evenly. When you reach a number that can’t be divided into 136 anymore, then those are all the factors for this specific number – in this case, 1, 2, 4, 8 17 34 68 and136! 
  • This works because when an integer is multiplied together with each factor from above (1-136), it will always add up to create the original input – which was 136.

Prime Factorization of 136

Calculate Prime Factors of

The Prime Factors of 136 =

2 x

2 x

2 x

17

https://wiingy.com/learn/math/factors-of-136/

To identify the prime factors of a number like 136, 

  • Divide it by the smallest prime number (in this case 2) and continue to do so until you can’t anymore. 
  • Repeating this process with 136 will give us 2 x 2 x 2 x 17 as its factorization – each one being an individual component that multiply together to create our original figure!

Factor tree of 136

136268234217
https://wiingy.com/learn/math/factors-of-136/


Follow the steps given below to create a factor of 136: 

  • To create a factor tree, start by identifying the smallest prime number of your given integer.
  •  Divide this number from the original and repeat this process for what remains until you find all its prime factors. For instance – 136 can be divided by 2 to give 68; since it’s not a prime, divide further using its lowest possible whole-number divisors – in our example: 4 (68 / 17) = 4 & 17(4/2)=2&17! 
  • By doing so, we’ve obtained two sets of numbers which when multiplied gives us back an answer equal to that of our starting point136!

Factor Pairs of 136

Calculate Pair Factors of

1 x 136=136

2 x 68=136

4 x 34=136

8 x 17=136

17 x 8=136

34 x 4=136

68 x 2=136

So Pair Factors of 136 are

(1,136)

(2,68)

(4,34)

(8,17)

(17,8)

(34,4)

(68,2)

https://wiingy.com/learn/math/factors-of-136/

Understanding the concept of factor pairs can help students find solutions to many different Math problems. To determine a number’s factor pair, 

  • Begin by dividing it evenly by any numbers that divide into it—up until its square root is reached. Once you do this, pairing together each divisor with the result of your equation will give you all possible factors for the given integer in question. 
  • For example: when trying to identify all the potential combinations from 136, once divided unevenly up till 17 (its square root), 1 x 136 =136; 2 x 68 =136 and etc.—these are then considered ‘factor pairs’ because they combine to equal out exactly as expected!



Factors of 136 – Quick Recap

Factors of 136: 1, 2, 4, 8, 17, 34, 68, and 136.

Negative Factors of 136:   -1, -2, -4, -8, -17, -34, -68, and -136.

Prime Factors of 136: 2 × 2 × 2 × 17

Prime Factorization of 136:  2 × 2 × 2 × 17

Fun Facts of Factors of 136

  • Understanding the properties of numbers can give us insight into complex Mathematical concepts. The number 136 is a prime example!
  •  It has more than two factors and therefore it’s not considered to be a prime number, however, it is still an even number and triangular in nature: when summed together its positive integers (1 + 2 + 3…+ 17) total up to equal exactly 136 itself! 
  • Additionally, this special composite number also happens to have 8 distinct positive factors—the smallest amount possible for any given integer–which makes understanding these core principles all the more important.

Examples of Factor of 136

1. There are 136 students in the school. If there are 8 desks per classroom, how many classrooms do they need? 

Answer: 17 classrooms (136 / 8 = 17).

2. Carl has 136 coins consisting of dimes and quarters in his piggy bank. If he has 7 times as many dimes as quarters, how many quarters does he have? 

Answer: 36 quarters (7 x 36 = 252; 252 – 136 = 116).

3. John wants to divide his 136 jellybeans evenly among his friends without any leftovers. How many can each friend get if there are 9 friends altogether? 

Answer: 15 jellybeans (136 / 9 = 15 1/9; round up to 15).

4. A bakery buys 136 packs of flour for $11 each, 4 cents more than the original price per pack. What was the original price of one pack of flour? 

Answer: 7 cents ((11 – 4) / 136 =0.05).

5. Caroline needs to cut a piece of fabric that is 136 feet long into smaller pieces that are 6 feet long each for a project at school. How many 6-foot pieces can she cut from the fabric? 

Answer: 22 pieces (136 ÷ 6 = 22).

6. Thomas has a lemon tree with 136 lemons on it and he collects all the lemons one by one every day starting with Monday until Saturday when the tree is empty again. How many lemons does Thomas collect on Wednesday? 

Answer: 28 lemons (136 – 108 = 28).  

7 . If someone buys 154 apples for $15,4 cents more than each apple costs, what was the cost for one apple?
Answer:
11 cents ((15-4)/154= 0 .0775 ).  
 
8. A family reunion consists of 16 people so every family brings 10 food items. How many food items do they bring altogether?
Answer:
160 food items (16×10=160 )   

9. Is 85 a factor of 136?
Answer: Yes, 85 is a factor of 136 (136÷85=1 with the remainder 51 ).  

10. If someone jogs 12 laps around an oval track that measures 132 meters, how far have they run?
Answer: 1584 meters (132×12=1584 ).

Frequently Asked Questions on Factors of 136

What is a factor of 136?

A factor of 136 is any number that can divide 136 without leaving a remainder. The factors of 136 are 1, 2, 4, 8, 17, 34, 68, and 136.

Is 72 a factor of 136?

Yes, 72 is a factor of 136 (136 ÷ 72 = 1 with the remainder of 64).

How many factors does 136 have?

There are 8 factors for the number 136 (1, 2, 4, 8,17, 34,68, and 136).

How can I find the prime factors of 136?

To find the prime factors of 136, you need to list all its factors and identify which ones are prime numbers (such as 2, 3, or 5). The prime factors of 136 are 2 x 2 x 2 x 17 or 2³ x 17.

What is the greatest common factor of 135 and 136?

The greatest common factor (GCF) of 135 and 136 is 9 (which is 3×3)

Can 135 be divided evenly by 132?

No, 135 cannot be divided evenly by 132 because there will be a remainder equal to 3 (135 ÷ 132 = 1 with remainder 3).

What is the least common multiple(LCM)of 135 and136 ?

The least common multiple(LCM)of 135 and136 is 24360(2 x 2 x 2 x 3 x 3x 5 x 7=24360)

What two numbers can you multiply together to get the product 135?

You can multiply 5 x 27 or 15 x 9 to get the product 135.

If someone has 56 quarters, how much money do they have in total?

56 quarters equals 14 dollars ($14; 56*0.25=14 ).

Is one a factor of every number?

Yes, one is considered an “identity” factor for every number as multiplying it by one will not change its value.

Written by

Prerit Jain

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