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Factors of 134 | Prime Factorization of 134 | Factor Tree of 134

Written by Prerit Jain

Updated on: 30 Jun 2023


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Factors of 134 | Prime Factorization of 134 | Factor Tree of 134

Factors of 134 | Prime Factorization of 134 | Factor Tree of 134

Factors of 134

Factors of 134Factor Pairs of 134Prime factors of 134
1, 2, 67, 134.(1, 134), (2, 67)2 × 67
Factors of 134, Factor Pairs of 134, Prime factors of 134

Calculate Factors of

The Factors are


What are the factors of 134

To quickly break down numbers into smaller parts, we can use a method called “factoring”. Let’s take the number 134 as an example – this means that 134 is divisible by 1, 2, 67, and itself (134). To find these factors out for ourselves we can make a list from smallest to largest starting with 1 up until the same amount as our original number (e.g if it was 37 then finish off on 37) so in this case, ending at 134 then dividing each of those listed amounts one-by-one into our original problem – here being 134. If what you end up getting left over when you divide them all evenly is zero. 

How to Find Factors of 134

The following are the methods through which you can find the factors of any number and it can also be used to find the factors of 134. 

  • Factors of 134 using the Multiplication Method
  • Factors of 134 using the Division Method
  • Prime Factorization of 134
  • Factor tree of 134

Factors of 134 using Multiplication Method

To discover the factors of 134, we can use multiplication to solve this fascinating mathematical equation. Start by organizing all potential answers into pairs before multiplying each pair together until you reach a result of 1 and 134 or 2 and 67! Amazingly these are only two possible combinations that when multiplied correctly will give you an answer equal to your original number – in our case, it’s exactly 134. Think about how incredible is mathematics; one small calculation can unlock hidden surprises that otherwise would be impossible for us to know!

Factors of 134 Using Division Method

To understand the factors of 134, we’ll use a method called division. We start by looking for the smallest prime number that is less than or equal to 11.5 (the square root of 134). When dividing 134 by 2, both 2 and 67 are determined as factors since our result has no remainder. To reach its prime factorization – which means breaking down into only numbers you can multiply together-we and divide each existing factor until reaching its primary form: 1x2x67=134. Therefore, all possible solutions include 1,2,67, and 13!

Prime Factorization of 134

Calculate Prime Factors of

The Prime Factors of 134 =

2 x



To understand the prime factorization of 134, let’s break down how it works. 

  • Start by finding the square root of 134 – this is about 11.5 which means that 2 would be its smallest prime number. When you divide 134 by two, you get 67 with a remainder of 0; Meaning that 2 is one of the factors in 134! 
  • Divide 34 again and now your answer will only have one reminder: The Prime Factorization for 134 =2*67 meaning those are both factors to calculate an end result!

Factor tree of 134


To understand the prime factorization of 134, we need to look no further than a factor tree! In this exciting visual representation, you can easily break down bigger numbers into their smaller components in two easy steps: dividing by 2 and then checking if that result is a prime number. 

Let’s apply these instructions to our example- when starting with 134 as an input, divide it by the smallest possible prime number which would be 2 (as 11.5 is not considered one). As there were no remainders after dividing 134 by two -2 must have been its component part; resulting in 67 being left over after division . All we now need to do is find out whether or not 67 is itself a Prime Number; fortunately for us, it was! This means that the Prime Factorisation for 134 boils down simple multiplication equation: 2*67=134. 

Factor Pairs of 134

Calculate Pair Factors of

1 x 134=134

2 x 67=134

67 x 2=134

So Pair Factors of 134 are





Want to know all the possible ways you can combine two numbers to get 134? Let’s look at this step by step. First, list down all the factors of 134 in order from the smallest number to largest — these would be 1, 2, 67, and 134! Next pair them up (start with small ones then move on to bigger ones) and voila: factor pairs of 136 are 1 x134 or 2×67 – but don’t forget that it doesn’t matter which way round they go so if we swap around our original pairs like 133 x1 and 66×2 – it’d still give us a total of 34!

More Factors

Factors of 134 – Quick Recap

  • Factors of 134:  1, 2, 67, 134
  • Negative Factors of 134:   -1, -2, -67, -134.
  • Prime Factors of 134: 2 × 67
  • Prime Factorization of 134:  2 × 67 

Also Check: Multiples, Square Root, and LCM

Solved Examples of Factor of 134

Q.1: A family reunion consists of 13 people and each person brought 11 food items. How many total food items were at the reunion?
Solution: 143 food items (13 x 11 = 143).

Q.2: There are 136 students in the school. If there are 8 desks per classroom, how many classrooms do they need? 
Solution: With 136 students and 8 desks per classroom, they would need 17 classrooms.

Q.3: John has 134 coins consisting of dimes and quarters in his piggy bank. If he has 3 times as many dimes as quarters, how many quarters does he have? 
Solution: To find the number of quarters John has, we set up equations based on the given information. We represent the number of quarters as “q” and the number of dimes as “d.” We know that there are a total of 134 coins and that John has 3 times as many dimes as quarters. By solving the equations, we find that John has approximately 33 quarters.

Q.4: Cassie wants to divide her 134 jellybeans evenly among her friends without any leftovers. How many can each friend get if there are 8 friends altogether? 
Solution: To divide 134 jellybeans evenly among 8 friends, we divide the total number of jellybeans by the number of friends. Each friend can receive approximately 16 jellybeans.

Q.5: Lisa needs to cut a piece of fabric that is 134 feet long into smaller pieces that are 2 feet long each for a project at school. How many 2-foot pieces can she cut from the fabric? 
Solution: 67 pieces (134 ÷ 2 = 67).

Q.6: George has an orange tree with 133 oranges on it and he collects all the oranges one by one every day starting with Monday until Saturday when the tree is empty again. How many oranges does George collect on Tuesday? 
Solution: Total number of oranges = 133 Number of days in a week = 7. Since the oranges are distributed evenly over the 7 days, we divide the total number of oranges by the number of days: 133 ÷ 7 = 19 remainders 0.

Q.7: Sue wants to buy some apples but only has $25 available and knows that the store sells them for 50 cents a piece, how many apples can she buy with her money?   
Sue can buy 50 apples because, with her available $25, and each apple costs 50 cents, she can divide the total amount by the cost of each apple to determine the quantity.

Q.8: If someone jogs 8 laps around an oval track that measures 133 meters, how far have they run?
1064 meters (133×8=1064 ).

Frequently Asked Questions on Factors of 134

What are the factors of 134?

The factors of 134 are 1, 2, 67, and 134.

How do you find the factors of 134?

To find the factor of a number, simply divide the number by each number between 1 and itself until you cannot go any further without getting a decimal or fractional answer.

How many factors does 134 have?

There are four factors for 134: 1, 2, 67, and 134.

What is the prime factorization of 134?

The prime factorization of 134 is 2 x 67.

What is a factor tree for 134?

A Factor Tree for 134 would look like this: 
134 / \ 2 67

Is 36 a factor of 134?

No, 36 is not a factor of 134 (134 ÷ 36 = 3 with remainder 8).

Is 67 a factor of 134?

Yes, 67 is a factor of 134 (134 ÷ 67 = 2).

Is 135 a factor of 134?

No, 135 is nota factor of 134 .

A family reunion consists of 13 people so every family brings 11 food items. How many food items do they bring altogether?

143 foods items (13×11=143 )

Written by

Prerit Jain

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