Factors

# Factors of 143 | Prime Factorization of 143 | Factor Tree of 143

Written by Prerit Jain

Updated on: 15 Feb 2023

Contents

### Factors of 143 | Prime Factorization of 143 | Factor Tree of 143

## Factors of 143

Factors of 143 | Factor Pairs of 143 | Prime factors of 143 |

1, 11,13 and 143 | (1, 143) and (11, 13) | 11 x 13 |

Calculate Factors of

**The Factors are**

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## What are the factors of 143

143 is not a prime number, so it has multiple positive integer factors. To find these factors, one method is to use the prime factorization of 143 which consists of 11 and 13 multiplied together (11 * 13 =143). This indicates that there are two distinct core numbers contributing to its makeup: an individual factor each for 11 and 13. When added up in total there are 4 different positve integers that divide evenly into 143 – 1, 11 ,13 & 143 itself!

## How to Find Factors of 143

The following are the methods through which the factors of 143 can be found:

- The factor of 143 using Multiplication Method
- Factors of 143 using the Division Method
- Prime Factorization of 143
- Factor tree of 143

## Factors of 143 using Multiplication Method

Breaking 143 down to its prime factors is a great way of understanding it from the core. The prime factorization of this number can be expressed not only as 1 x 143 but also in exponential notation: 143^1.

To find out all about the components that make up any given number, simply divide by the smallest possible primes and track how those quotients change! A visual representation like a Factor Tree will provide an easy-to-understand picture showing each part that contributes to making up one single entity – what wonders lie underneath every base figure we see everyday!

## Factors of 143 Using Division Method

Finding the factors of a number can be relatively straightforward when using the division method. In this case, we’re looking for all numbers that will divide evenly into 143: 1, 11, 13, and 143 – each of these is what is known as ‘factors’ and in order to find them you proceed by starting with your target number (143) then dividing it by smallest positive integer first (1). If it divides evenly then the result which is obtained after calculation becomes one factor otherwise not! After exhausting 1 if there’s still any remainder left or the number needs further factoring, follow up next step i.e., Continuous Division of the same Target Number by remaining Smallest Positive Integers respectively until you reach the given value itself. This process results in us 4 Different Values/Factors:

1•11•13 & •143

## Prime Factorization of 143

Calculate Prime Factors of

The Prime Factors of 143 =

11 x

13

Deconstructing a number into its prime factors is known as the process of prime factorization. In this way, you can express any composite (non-prime) number by breaking it down to its unique set of primes. A great illustration of this concept lies in 143 – which consists only of 11 and 13 when taken all the way back apart through multiplication! Prime numbers cannot be deconstructed further because they are already in their simplest form; therefore, there is no simpler expression for them than what exists already.

## Factor tree of 143

To create a factor tree, begin by writing the number you wish to find the prime factors for at the top. Then divide that number by its smallest possible prime factor; this creates a branch of your “tree” with which all other branches will connect. Once divided, if what remains is still a prime number itself then it becomes your final branch and can be read from starting from the initial number as [initial #] = [prime divisor] * [remainder]. In our example, 143 would have an answer reading: 143 = 11 x 13.

## Factor Pairs of 143

Calculate Pair Factors of

1 x 143=143

11 x 13=143

13 x 11=143

So Pair Factors of 143 are

(1,143)

(11,13)

(13,11)

To figure out all the pairs of positive integers that can be multiplied to make 143, we have to first look at its prime factorization. When you break down a number into its two lowest possible factors (called prime numbers), in this case 11 and 13 are both needed for it equals exactly 143. That’s why these four combinations work: 1×143; 11×13; 13×11; and even itself multiplied by iself – 143 x143! Prime Numbers only have 2 factors so since there are 4 possibilities here with different integer pairings, it’s safe to say that this isn’t one of them- making our final answer clear – 143 is not a prime number.

Factors of 143 – Quick Recap

**Factors of 143:** 1, 11,13, and 143.

**Negative Factors of 143:** (-1, -143) and (-11, -13).

**Prime Factors of 143:** 11 x 13

**Prime Factorization of 143:** ** **11 x 13

## Fun Facts of Factors of 143

- 143 is a special composite number that can be expressed by the product of two prime numbers and having equal factors, as well as being palindromic – reading the same forward or backward.
- The unique combination of its components have resulted in an interesting phenomenon: although it has five total factors (1, 3, 9, 13 & 39) which add up to 65; 65 itself is not one of 143’s own factors!

## Examples of Factor of 143

**1. If Sam had 143 apples and gave away 4 pieces of fruit each time, how many times could he give away all of his apples? **

**Answer:** Sam can give away his apples 35 times (143/4 = 35).

**2. What is the sum of all factors of 143 excluding itself?**

**Answer: **The sum of all factors excluding itself is 423 (141 + 11 + 13).

**3. If Sally had 143 strawberries and sold them for $17 each, how much money would she make?**

**Answer: **Sally would make a total of $2411 ($17 x 143 = 2411).

**4. Queen Elizabeth has 143 yards of fabric, but she wants to divide it evenly with her three daughters. How many yards will each daughter receive? **

**Answer: **Each daughter will receive 47 yards (143/3 = 47).

**5. What is the greatest common factor between 142 and 143? **

**Answer: **The greatest common factor between 142 and 143 is 1.

**6. Is 144 divisible by 11? **

**Answer:** No, 144 is not divisible by 11.

**7. Arthur has purchased 10 packages of candy which contains a total of 140 pieces. How many pieces are in each package if they are divided equally? Answer: **Eachpackagecontains14pieces(140/10=14).

**8. Find the Lowest Common Multiple (LCM) for 142 and 143?**

Answer:The Lowest Common Multiple (LCM) for 142 and 143 is 819.

Answer:

**9**.

**If a person has 142 minutes on the phone, how much time do they have in hours?**

Answer: The person has 2 hours and 22 minutes (142 minutes/60=2hr22min ).

**10**.

**Mariah has two number cubes numbered from 1-144, what are the odds that both cubes will roll an even number?**

Answer: The odds that both cubes will roll an even number are 50%as144 has 72 even numbers out of its 144 total numbers(72/144= 0.5).

## Frequently Asked Questions on Factors of 143

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**What are the factors of 143?**

The factors of 143 are 1, 11, 13, and 143.

**Is 142 a factor of 143?**

No, 142 is not a factor of 143.

**What is the highest common factor between 143 and 142?**

The highest common factor between 143 and 142 is 1.

**What is the least common multiple (LCM) for 143?**

The least common multiple (LCM) for 143 is 819.

**How many divisors does 141 have?**

141 has 4 divisors which are 1 ,11 ,13, and143.

**Is it possible to check if two numbers are relatively prime without calculating their greatest common factor?**

Yes, it is possible to check if two numbers are relatively prime without having to calculate their greatest common factor rowing the Euclidean Algorithm.

**If I have 140 sticks can I make 4 candles each with 35 sticks?**

No, you do have not enough supplies as 140 has 7 factors which include 1 ,2 ,5 ,7 ,10,14, and 20- thus meaning you cannot make four candles with 140 sticks(14×10=140).

**How much money must be paid if someone wants to buy 16 boxes of chocolates costing $17 each?**

They need to pay a total of $272 if they want to buy 16 boxes of chocolates costing $17 each($17×16=272).

**What is the sum of all positive divisors including one and excluding 141 itself?**

The sum of all positive divisors including one and excluding the number 141 itself is equal to three times the number itself(423).

**Find all factor pairs for the number 144 using exponential notation for any prime factors that appear more than once in the factor tree.**

The factor pairs for the number 144 using exponential notation are 1x144or1⁰x144.

Written by

Prerit Jain