Factors
Factors of 142 | Prime Factorization of 142 | Factor Tree of 142
Written by Prerit Jain
Updated on: 15 Feb 2023
Contents
Factors of 142 | Prime Factorization of 142 | Factor Tree of 142
Factors of 142
| Factors of 142 | Factor Pairs of 142 | Prime factors of 142 |
| 1, 2, 71, 142 | (1, 142), (2, 71) | 2 x 71 |
Calculate Factors of
The Factors are
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What are the factors of 142
142 is not a prime number, meaning that it can be broken down into several smaller numbers. To find these factors of 142, we look to its prime factorization: 2 * 3 * 23. By multiplying the three prime factors together (2 x 3 x 23), you get your original starting point -142! All nine positive integer factors are 1, 2 ,3 ,6 9 18 47 94 and 142.
How to Find Factors of 142
The main 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 142.
- Factor of 142 using Multiplication Method
- Factors of 142 using Division Method
- Prime Factorization of 142
- Factor tree of 142
Factors of 142 using Multiplication Method
To factor the number 142, you can use a simple process of multiplication. Start by selecting two factors from 1 to 142 (1 and 142 in this case). Multiply these numbers together; if their product equals your target number, then congratulations! You have found one pair of factors – in our example, that would be (1 x 142 =142)! Repeat with different pairs until the final result is equal to your original value- here that’s still 42. With some patience and math skills, you will find all possible sets of solutions for any given integer!
Factors of 142 Using Division Method
To easily identify the factors of any number, follow these steps: start with your target and divide it by 1. If the resulting answer is even, then you have a factor! Move on to dividing that same number by 2; if this division remains even – congrats on another factor for your list! Keep going until repeating numbers or reaching what was initially inputted appears. For example – to find all the factors from 142 one would obtain 1, 2, 3, 6, 9, 18, 47 94, and finally hit back at our original integer again:142
Prime Factorization of 142
Calculate Prime Factors of
The Prime Factors of 142 =
2 x
71
Breaking down a number into its prime factors is the process of finding out which smaller numbers were used to create that larger one. For example, 142 was created by combining 2 and 3 together and then multiplying it with 23; meaning there’s no other combination than this specific one (2*3*23) that would get you back the same exact result! Every number has its own unique factorization based on what primes make it up – so once we know all these primes in their correct configuration, they can’t be swapped around or changed otherwise you wouldn’t have your original target value anymore!
Factor tree of 142
To determine the prime factorization of a number, like 142 in this example, you can create what is called a Factor Tree. Begin by writing the target number at the top of your tree and then divide it into its smallest prime factors from there. Continue to branch out until each segment has been reduced down to prime numbers- these are referred to as ‘leaves.’ The combination of all leaves found within your Factor Tree will give you an answer that reflects how many times those particular primes multiplied together equals your original input! For instance, 142 = 2 * 3 * 23 when composed through our hypothetical Factor Tree here which therefore gives us our final result: Prime Number Factoring for 142 equals (2 x 3 x 23).
Factor Pairs of 142
Calculate Pair Factors of
1 x 142=142
2 x 71=142
71 x 2=142
So Pair Factors of 142 are
(1,142)
(2,71)
(71,2)
The factor pairs of 142 are the combinations of positive integers that can be multiplied together to equal this number. In total, there are 11 different possible sets consisting of a numerator and denominator or both; for example (1,142), (2, 71) etc.. For each pair these numbers when individually multiplied create an answer which is exactly 142.
Factors of 142 – Quick Recap
Factors of 142: 1, 2, 71, 142
Negative Factors of 142: -1, -2, -71, and -142.
Prime Factors of 142: 2 x 71
Prime Factorization of 142: 2 x 71
Fun Facts of Factors of 142
- 142 may not be a prime number, but it is still an interesting one. It can’t be expressed as the product of two equal integers – that rules out perfect squares – and instead has nine different positive integer factors when factored according to its prime factorization: 2 * 3 * 23. Moreover, 142 is even since it’s divisible by two; however, unlike other numbers in certain patterns such as multiples or powers of three or five (such as 30 = 5*6), 142 doesn’t work with these ratios either!
Examples of Factor of 142
1. Jose has 142 cars in his collection. How many cars can he divide them into if each group must have the same number of cars?
Answer: He can divide the 142 cars into groups of 2, 3, 7, 14, 21, and 142 since these are all factors of 142.
2. What is the highest common factor between 143 and 142?
Answer: The highest common factor between 143 and 142 is 1.
3. If Jessie wants to buy 13 boxes of chocolates costing $17 each, how much money must she pay in total?
Answer: Jessie must pay a total of $221 ($17 x 13 = 221) for 13 boxes of chocolates.
4. Find all factor pairs for the number 140 using exponential notation for any prime factors that appear more than once in the factor tree.
Answer: The factor pairs for the number 140 using exponential notation are 1×140 or 1⁰x140.
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. Marcus is making some homemade candles and needs exactly 32 sticks to make one candle. Does he have enough supplies if he only has 142 sticks available?
Answer: Yes, Marcus has enough supplies as 142 has 7 factors which include 1 , 2 , 3 , 4 , 7 , 11, and14 – thus meaning he can make four candles with 142 sticks (14 x 10 = 144).
7. What is the least common multiple (LCM) for 141? Answer: The least common multiple (LCM) for 141 is 452.
8) How many divisors does 141 have?
Answer:141 has 4 divisors which are1 ,3 ,47, and 141.
9) If Kristen wants to buy 15 bottles of drinks costing $18 dollars total how much money must she pay?
Answer: Kristen needs to pay $270 if she wants to buy 15 bottles of drinks costing $18 dollars($18×15=270 ).
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(282 ).
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Frequently Asked Questions on Factors of 142
What are the factors of 142?
The factors of 142 are 1, 2, 3, 7, 14, 21, and 42.
Is 141 a factor of 142?
No, 141 is not a factor of 142.
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 142?
The least common multiple (LCM) for 142 is 452.
How many divisors does 141 have?
141 has 4 divisors which are 1, 3, 47, and 141.
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 by using the Euclidean Algorithm.
If I have 140 sticks can I make 4 candles each with 35 sticks?
Yes, you have enough supplies as 140 has 7 factors which include 1 , 2 , 4 , 5, 7 , 10, and14- thus meaning you can make four candles with 140 sticks (14 x 10 = 140).
How much money must be paid if someone wants to buy 12 boxes of chocolates costing $17 each?
They need to pay a total of $204 ($17 x 12 = 204).
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 twice the number itself(282 ).
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 142 using exponential notation are: (1, 142), (2, 71), (3, 47), and (6, 23).
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