Factors
Factors of 141 | Prime Factorization of 141 | Factor Tree of 141
Written by Prerit Jain
Updated on: 15 Feb 2023
Contents
Factors of 141 | Prime Factorization of 141 | Factor Tree of 141
Factors of 141
| Factors of 141 | Factor Pairs of 141 | Prime factors of 141 |
| 1, 3, 47, 141 | (1, 141), (3, 47) | 3 x 47 |
Calculate Factors of
The Factors are
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What are the factors of 141
For the number 141, its factors are all of the positive integers which can divide it evenly. These numbers include 1, 3, and 47 – when you multiply these two prime factors together (3 x 47), you’ll get exactly 141! As a bonus fact for those who like math: because this is a prime number (a natural number greater than one with only two distinct divisors, being itself and one) that means that its factor pairs will always be either (1,141) or (141,141).
How to Find Factors of 141
There different methods of finding the factors of 141 are as given below:
- Factor of 124 using Multiplication Method
- Factors of 124 using Division Method
- Prime Factorization of 124
- Factor tree of 124
Factors of 141 using Multiplication Method
To factor the number 141 using multiplication, you can work through each pair of factors from 1 and 141 until all of them have been multiplied together. If the product is equal to your original number (in this case, 141) then they are a set of factorials. Continue doing that until there are no more pairs available; in this example, it yields three different sets: (1,141), (3, 47), and finally(141,141). With these steps combined one has discovered all possible combinations for factoring out an answer!
Factors of 141 Using Division Method
To discover all the factors of 141, you can use a method called division. The following are the steps involved in the division method:
- Start by dividing your target number (141) by 1; if that doesn’t give an even result, then it’s not a factor.
- Continue this process from smallest to largest possible numbers until reaching the original target – in this case, there are 4 such divisions: 1, 3, 47, and 141!
- All these divide cleanly into 141 making them its four factors respectively.
Prime Factorization of 141
Calculate Prime Factors of
The Prime Factors of 141 =
3 x
47
The prime factorization of 141 is the process of expressing a number as the product of its prime factors. The prime factorization of 141 is:
141 = 3 * 47
This can be read as: “141 is equal to 3, multiplied by 47.”
Both 3 and 47 are prime numbers, so they cannot be expressed as the product of smaller positive integer factors.
The prime factorization of a number is unique, which means that there is only one way to express a number as the product of its prime factors. For example, the prime factorization of 141 cannot be expressed as 3 * 5 * 7, because this would not include the factor of 47.
Factor tree of 141
To create a factor tree, you start by writing the number that needs to be factored (in this case 141) at the top of your diagram.
1. Then divide it by its smallest prime factor (in this case 3).
2. Write down whatever result you get from that division underneath in a branch on the same level as your original number. If what’s written is still a Prime Number then congrats – You’ve reached an endpoint!
3. Just read out all these numbers put together with ‘*’ symbols between them and there. That’s how easily one can get their prime factorization for any given positive whole number without much hassle. In our example here, we’d say “141 = 3 * 47”.
Factor Pairs of 141
Calculate Pair Factors of
1 x 141=141
3 x 47=141
47 x 3=141
So Pair Factors of 141 are
(1,141)
(3,47)
(47,3)
The factor pairs of 141 are the pairs of positive integers that can be multiplied together to get 141. Here is a list of all the factor pairs of 141:
(1, 141)
(3, 47)
(47, 3)
(141, 141)
To find the factor pairs of 141, you can also use the prime factorization of 141, which is 3 * 47. The 3 indicates that there is one factor of 3, and the 47 indicates that there is one factor of 47. If you multiply these two prime factors together, you will get 141.
141 is a prime number, which means that it has only two positive integer factors: 1 and itself. This means that the factor pairs of 141 are (1, 141) and (141, 141).
Factors of 141 – Quick Recap
Factors of 141: 1, 3, 47, 141
Negative Factors of 141: -1, -3, -47, and -141.
Prime Factors of 141: 3 x 47
Prime Factorization of 141: 3 x 47
Fun Facts of Factors of 141
- 141 is a prime number, which means that it has only two positive integer factors: 1 and itself. This means that the factor pairs of 141 are (1, 141) and (141, 141).
- The prime factorization of 141 is 3 * 47. This means that 141 can be expressed as the product of one factor of 3 and one factor of 47.
- 141 is not a perfect square, which means that it cannot be expressed as the product of two equal integers. For example, 4 is a perfect square because it can be expressed as 2 * 2.
- 141 is an odd number, which means that it is not divisible by 2.
- 141 is not a multiple of 3, 5, or 7.
Examples of Factor of 141
1. Gemma has 141 books in her collection. How many books can she divide them into if each group must have the same number of books?
Answer: She can divide the 141 books into groups of 3, 47, or 141 since these are all factors of 141.
2. What is the highest common factor between 131 and 141?
Answer: The highest common factor between 131 and 141 is 3.
3. If Derrek wants to buy 11 boxes of chocolates costing $19 each, how much money must he pay in total?
Answer: Derrek must pay a total of $209 ($19 x 11 = 209) for 11 boxes of chocolates.
4. Find all factor pairs for the number 139 using exponential notation for any prime factors that appear more than once in the factor tree.
Answer: The factor pairs for the number 139 using exponential notation are 1×139 or 1⁰x139.
5. Is it possible to check if two numbers are relatively prime without calculating their greatest common factor?
Answer: Yes, it is possible to check if two numbers are relatively prime without having to calculate their greatest common factor by using the Euclidean Algorithm.
6. Maria is making some homemade candles and needs exactly 35 sticks to make one candle. Does he have enough supplies if she only has 140 sticks available?
Answer: Yes, Maria has enough supplies as 140 has 7 factors which include 1, 2 , 4 , 5 , 7 , 10 , and 14 – thus meaning she can make four candles with 140 sticks (14 x 10 = 140).
7. What is the least common multiple (LCM) for 140? Answer: The least common multiple (LCM) for 140 is 840.
8. How many divisors does 141 have?
Answer:141has4divisorswhichare1 ,3 ,47and141.
9. If Andrew wants to buy 12 bottles of drinks costing $17 dollars total how much money must he pay?
Answer: Andrew needs to pay $ 204 if he wants to buy 12 bottles of drink costing $ 17 dollars ($17×12=204 ).
10. What is the sum of all positive divisors including one and excluding 141 itself? Answer: The sum of all positive divisors including one and excluding the number 141 itself is equal to twice the number itself(280 ).
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Frequently Asked Questions on Factors of 141
What are the factors of 141?
The factors of 141 are 1, 3, 47, and 141.
What is the greatest common factor (GCF) for 141?
The greatest common factor (GCF) for 141 is 3.
What is the least common multiple (LCM) for 141?
The least common multiple (LCM) for 141 is 1111.
How many factors does 141 have?
There are 4 factors that 141 has which include 1, 3 , 47 , and 141 .
Does 141 have any prime factors?
Yes, 141 has two prime factors – 3 and 47 as 3 x 47 =141.
How can I use exponential notation to write out the different factor pairs of 141?
The factor pairs for the number 141 using exponential notation are 1x141or1⁰x141.
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 calculated their greatest common factor by using the Euclidean Algorithm.
If Gemma wants to buy 5 books each costing $23 dollars total how much money must she pay?
Gemma needs to pay $115 if she wants to buy 5 books each costing $ 23 dollars ($23×5=115 ).
Find all factor pairs for the number 139 using exponential notation for any prime factors that appear more than once in the factor tree.
The factor pairs for the number 139 using exponential notation are 1x139or1⁰x139.
Is there a formula for finding all the divisors of a number?
Yes, there is a formula for finding all of the divisors of a number which states that the sum of all positive divisors including one and excluding the number itself will equal twice the number themselves (a+b +c…=2n).For example with an input number such as n =141; Divisors(1+3+47+141)=141×2=282.
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