Factors of 101
Factors of 101 are the list of integers that we can split evenly into 101. There are overall 2 factors of 101 among which 101 is the biggest factor and its positive factors are 1, 101. The Pair Factors of 101 are (1, 101) and its Prime Factors is 101.
- All Factors of 101: 1 and 101
- Negative Factors of 101: -1 and -101
- Prime Factors of 101: 101
- Prime Factorization of 101: 1011
- Sum of Factors of 101: 102
1. | What Are the Factors of 101? |
2. | Factors of 101 by Prime Factorization |
3. | Factors of 101 in Pairs |
4. | FAQs on Factors of 101 |
What are Factors of 101?
Factors of 101 are pairs of those numbers whose products result in 101. These factors are either prime numbers or composite numbers.
How to Find the Factors of 101?
To find the factors of 101, we will have to find the list of numbers that would divide 101 without leaving any remainder.
- 101/1 = 101; therefore, 1 is a factor of 101.
- 101/101 = 1; therefore, 101 is a factor of 101.
☛ Also Check:
- Factors of 25 - The factors of 25 are 1, 5, 25
- Factors of 21 - The factors of 21 are 1, 3, 7, 21
- Factors of 125 - The factors of 125 are 1, 5, 25, 125
- Factors of 34 - The factors of 34 are 1, 2, 17, 34
- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Factors of 101 by Prime Factorization
So, the prime factorization of 101 can be written as 1011 where 101 is prime.
Factors of 101 in Pairs
Pair factors of 101 are the pairs of numbers that when multiplied give the product 101. The factors of 101 in pairs are:
- 1 × 101 = (1, 101)
Negative pair factors of 101 are:
- -1 × -101 = (-1, -101)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 101 Solved Examples
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Example 1: How many factors are there for 101?
Solution:
The factors of 101 are 1, 101. Therefore, 101 has 2 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 101 and 62.
Solution:
The factors of 101 are 1, 101 and factors of 62 are 1, 2, 31, 62.
Therefore, the Lowest Common Multiple (LCM) of 101 and 62 is 6262 and Greatest Common Divisor (GCD) of 101 and 62 is 1. -
Example 3: Find if 15 and 101 are factors of 101.
Solution:
When we divide 101 by 15 it leaves a remainder. Therefore, the number 15 is not a factor of 101. All numbers except 15 are factors of 101.
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Example 4: Find the product of all the factors of 101.
Solution:
Since, the factors of 101 are 1, 101. Therefore, the product of factors = 1 × 101 = 101.
FAQs on Factors of 101
What are the Factors of 101?
The factors of 101 are 1, 101 and its negative factors are -1, -101.
What is the Sum of Factors of 101?
Factors of 101 are 1, 101 and, the sum of all these factors is 1 + 101 = 102
What are Pair Factors of 101?
The pair factors of 101 are (1, 101).
What is the Greatest Common Factor of 101 and 44?
The factors of 101 are 1, 101 and the factors of 44 are 1, 2, 4, 11, 22, 44. 101 and 44 have only one common factor which is 1. This implies that 101 and 44 are co-prime.
Hence, the Greatest Common Factor (GCF) of 101 and 44 is 1.
What are the Common Factors of 101 and 21?
Since, the factors of 101 are 1, 101 and factors of 21 are 1, 3, 7, 21. Hence, 101 and 21 have only one common factor which is 1. Therefore, 101 and 21 are co-prime.
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