Factors

# Factors of 139 | Prime Factorization of 139 | Factor Tree of 139

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 139 | Prime Factorization of 139 | Factor Tree of 139

## Factors of 139

Factors of 139 | Factor Pairs of 139 | Prime factors of 139 |

1, 139 | (1,139) | 139 |

Calculate Factors of

**The Factors are**

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

## What are the factors of 139

To understand what factors are, think of it like this: try to find the numbers that can completely divide a number without leaving any remainder or fraction. For example, when we look at the number 139, let’s go through some smaller numbers and see which ones will evenly divide into 139 with no leftover parts – these would be its factor(s). After experimentation you may discover that only 1 and itself (139) divides perfectly; therefore making 139 a prime number! In simpler terms every single natural number is divisible by one so all positive integers have an absolute minimum two factors- themselves and one.

How to Find Factors of 139

The major methods through which the factors of a number can be found are given below and those same methods can be used to find the factors of 139.

- Factor of 124 using Multiplication Method
- Factors of 124 using Division Method
- Prime Factorization of 124
- Factor tree of 124

## Factors of 139 using Multiplication Method

To find the prime factorization of 139, start by dividing it into its smallest parts using 2 as your first number. If this is not a whole number (like 69.5), then move on to 3 and continue until you get a whole result that can be further divided—in this case, 13 will give us 10.6923 which means we’ve found our two factors: 11 and 13! Put them together and voila –139’s prime factorization has been determined with ease! Discover the mystery of prime numbers! Let’s explore what makes a number “prime”. We can do this by examining if any givennumber is divisible without having a remainder. For example, take 139 – let’s see which prime numbers it could be dividedby evenly. First up: 17…the answer after dividing? 8 with some leftovers (8.17647 to be exact). So that means we eliminate17 as being part of the equation since it doesn’t divide neatly into 139 and move on to 19 – divide again, same outcome; 7plus change equals no neat division so therefore eliminating 19 too! After looking at all primes less than 20 one thingis clear — none are factors for 139; meaning that itself must in fact BE A PRIME NUMBER!! Now wasn’t THAT easy?!

## Factors of 139 Using Division Method

To find the factors of 139 using division, we can start by dividing it by 1 – providing us with an answer of 139! Then, divide by progressively higher numbers until you get to a number that isn’t in whole form. This means that none of those fractions are factors and should be eliminated from your list of options; as such 2-9 don’t fit the bill here for being true factors. The final factor then is just 1 since no other number provided could accurately divide into 139 successfully! If you want to find out if a number is divisible by 11, 12, 13, 14, 15 16 17 18 19 or 20 – divide it (139 in this case) with each of those numbers. If the result equals an integer – bingo! That’s your factor; but here we can see that none of these numbers worked when dividing 139 – so no matter which one you tried out: 11-20 – all resulted in fractions and not integers.

## Prime Factorization of 139

Calculate Prime Factors of

The Prime Factors of 139 =

139

To break down the prime factorization of 139, start by trying to divide it by the smallest possible prime number. In this case, that’s 2 – however since 139 divided by 2 gives us a decimal answer (69.5), we know that won’t work! You can continue testing each successive prime number until you find one which results in an integer when dividing out from 139- and for our problem here, 11 is it! So if you multiply 111 together (11 x 11 X 11) you end up with your desired result: The Prime Factorization of 139 is equal to 111.

## Factor tree of 139

To figure out the factors of 139, first, write down the number at the top of a sheet. Then draw a line underneath it and divide it by the smallest prime numbers that can be divided evenly into both sides. For example, 11 goes into 139 to make 12; 2 then divides this answer in half again (6). Lastly, split 6 with another 2 which will leave 3 as your last result – these are all now your factor tree answers! To find the prime factorization of 6, draw a line and place 6 on one side. Divide it by 2; this gives you 3 which goes onto the other side. Now divide 3 (the number from before) by its smallest possible prime: itself! This equals 1, so write that down below your original line. With these two steps complete you have found all factors in the Prime Factorization of 6 – as easy as 123!

## Factor Pairs of 139

Calculate Pair Factors of

1 x 139=139

So Pair Factors of 139 are

(1,139)

Exploring factor pairs of 139 can be an exciting exercise for students! All positive integer combinations that multiply together to get the same result form a set of “factor pairs”. In this case, those three numbers are (1 x 139), (3 x 46) and (9 x 15). Not only is it interesting to discover these mathematical relationships but you might also learn something unexpected while exploring them.

## Factors of 139 – Quick Recap

**Factors of 139:** 1, 139

**Negative Factors of 139:** -1, -139

**Prime Factors of 139: 139**

**Prime Factorization of 139:** ** **139

## Fun Facts of Factors of 139

- Prime numbers have only two positive factors: 1 and itself. This means that any pair of numbers multiplied together to reach 139 must include either 1 or 139 for both terms – so (1, 139) and (139, 139).
- Since it can’t be factored further into smaller parts, we know that its prime factorization consists solely of itself – meaning there’s no better way to express this number than simply ‘139’.
- Additionally unlike perfect squares such as 4 which can be expressed through multiplication by two equal integers like 2*2 in the case above; an odd number doesn’t divide evenly when divided by two so neither does our friend 149.
- Finally, if you happen to check 3, 5 & 7 they’re all out too since none are multiples/factors of each other with our trusty buddy here!

## Examples of Factor of 139

**1. Arthur has 139 apples which he wants to divide among his 3 friends. How many apples will each friend receive?**

**Answer: **Each friend will receive 46 apples if Arthur divides the 139 apples among his 3 friends (139 ÷ 3 = 46 with remainder 1).

**2. Jean wants to buy a shirt that costs $ 139. She has 27 coupons each worth of $5, how much money does she need to pay for the shirt?**

**Answer:** Jean needs to pay $4 for the shirt if she uses all her 27 coupons each worth of $5 (27 x 5 = 135, add another 4 equals 139).

**3. Julia has a toy store and wants to create bundles of 11 toys for sale, if she has 139 toys available, how many bundles can she make?**

Answer: Julia can make 12 bundles of 11 toys each if she has 139 toys available (139 ÷ 11 = 12 with the remainder 7).

**4. Fabio needs 138 groceries from the store, but he only carries bags that can hold 6 items at once. How many bags will Fabio need?**

**Answer:** Fabio will need 23 bags if he needs 138 groceries and he only carries bags that can hold 6 items at once (138 ÷ 6 = 23).

**5. Patrick is making cupcakes and he needs 2 cups of sugar for every batch of 8 cupcakes, how much sugar does Patrick need in total if he makes 10 batches? **

**Answer: **Patrick needs 20 cups of sugar in total if he makes 10 batches using 2 cups of sugar per batch (2 x 8 x 10= 160, subtracting 22 equals 138). **6) Jack wants to buy a pair of shoes that cost 159 dollars but he only has 32 dollar bills. How many bills does Jack need? Answer: **Jack needs 5 bills if he wants to buy a pair of shoes that cost 159 dollars and he only has 32 dollar bills (32×5=160, subtract 1 equals 159).

**7) If I divide 143 into groups of 9, how many groups will I have left over?**

Answer :Youwillhave2groupsleftoverifyoudivide143intogroups o f9(143÷9=15withremainder8 ).

Answer :

**8) Find all factor pairs for the number 139 using exponential notation for any prime factors that appear more than once in the factor tree**

Answers:The factor pairs for the number 139 using exponential notation are 1x139or1⁰x139.

Answers:

**9)Graham wants to buy 3 clothes for $3000, how much money must he pay for each everyone?**

**Answer:**Graham must pay $ 1000 for each one if he wants to buy 3 clothes for $3000($3000÷3=1000 ).

**10) Matthew bought 128 items and expects to receive an additional 11 items in his next order delivery. How many items will be included in his next order delivery? Answer:**Matthew’s next order delivery will include 11 items if he bought 128 items(128+11=139 ).

Looking to Learn Math? Book a Free Trial Lesson and match with top Math Tutors for concepts, homework help, and test prep.

## Frequently Asked Questions on Factors of 139

**What are the factors of 139?**

The factors for 139 are 1,139.

**What is the greatest common factor for 139?**

The greatest common factor (GCF) for 139 is 1.

**What is the least common multiple of 25 and 139?**

The least common multiple (LCM) of 25 and 139 is 6975 (25 x 139 = 3475, which can be divided by 5 to get 695, then multiplied by 10 to get 6950, and then adding the number 25 at the end will give you 6975).

**How many groups of 6 can be formed if you have 139 items?**

You can form 23 groups with 6 items each if you have 139 items(139÷6=23withremainder1).

**How many pairs of 32 do you need for a total sum of 139?**

You need 4 pairs of 32 for a total sum of 139 (32×4=128, add another eleven equals 139).

**If 159 oranges are divided into groups of 11, how much will each group receive? **

Each group will receive 14 oranges. If 159 oranges are divided into groups of 11(159÷11=14with with remainder7).

Written by by

Prerit Jain