Factors of 142
Factors of 142 are the list of integers that we can split evenly into 142. There are overall 4 factors of 142 i.e. 1, 2, 71, 142 where 142 is the biggest factor. The Pair Factors of 142 are (1, 142), (2, 71) and its Prime Factors are 2 × 71.
- All Factors of 142: 1, 2, 71 and 142
- Negative Factors of 142: -1, -2, -71 and -142
- Prime Factors of 142: 2, 71
- Prime Factorization of 142: 21 × 711
- Sum of Factors of 142: 216
1. | What Are the Factors of 142? |
2. | Factors of 142 by Prime Factorization |
3. | Factors of 142 in Pairs |
4. | FAQs on Factors of 142 |
What are Factors of 142?
Factors of 142 are pairs of those numbers whose products result in 142. These factors are either prime numbers or composite numbers.
How to Find the Factors of 142?
To find the factors of 142, we will have to find the list of numbers that would divide 142 without leaving any remainder.
- 142/2 = 71; therefore, 2 is a factor of 142 and 71 is also a factor of 142.
- 142/1 = 142; therefore, 1 is a factor of 142 and 142 is also a factor of 142.
☛ Also Check:
- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
Factors of 142 by Prime Factorization
- 142 ÷ 2 = 71
Further dividing 71 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 71 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 142 can be written as 21 × 711 where 2, 71 are prime.
Factors of 142 in Pairs
Pair factors of 142 are the pairs of numbers that when multiplied give the product 142. The factors of 142 in pairs are:
- 1 × 142 = (1, 142)
- 2 × 71 = (2, 71)
Negative pair factors of 142 are:
- -1 × -142 = (-1, -142)
- -2 × -71 = (-2, -71)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 142 Solved Examples
-
Example 1: How many factors are there for 142?
Solution:
The factors of 142 are 1, 2, 71, 142. Therefore, 142 has 4 factors.
-
Example 2: Find the LCM and Highest Common Factor (HCF) of 142 and 133.
Solution:
The factors of 142 are 1, 2, 71, 142 and factors of 133 are 1, 7, 19, 133.
Therefore, the LCM of 142 and 133 is 18886 and Highest Common Factor (HCF) of 142 and 133 is 1. -
Example 3: Find if 2, 3 and 142 are factors of 142.
Solution:
When we divide 142 by 3 it leaves a remainder. Therefore, the number 3 is not a factor of 142. All numbers except 3 are factors of 142.
-
Example 4: Find the product of all the prime factors of 142.
Solution:
Since, the prime factors of 142 are 2, 71. Therefore, the product of prime factors = 2 × 71 = 142.
FAQs on Factors of 142
What are the Factors of 142?
The factors of 142 are 1, 2, 71, 142 and its negative factors are -1, -2, -71, -142.
What is the Sum of all the Factors of 142?
Since, all factors of 142 are 1, 2, 71, 142 therefore, the sum of its factors is 1 + 2 + 71 + 142 = 216.
What are Prime Factors of 142?
The prime factors of 142 are 2, 71.
What is the Greatest Common Factor of 142 and 41?
The factors of 142 are 1, 2, 71, 142 and the factors of 41 are 1, 41. 142 and 41 have only one common factor which is 1. This implies that 142 and 41 are co-prime.
Hence, the Greatest Common Factor (GCF) of 142 and 41 is 1.
How Many Factors of 142 are also Factors of 56?
Since, the factors of 142 are 1, 2, 71, 142 and the factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.
Hence, [1, 2] are the common factors of 142 and 56.
visual curriculum