Factors of 101
The factors of 101 are 1 and 101. Since 101 is a prime number, it has exactly 2 factors and cannot be divided evenly by any other whole number. The sum of its factors is 102, and its prime factorization is simply 101 itself.
All factors of 101
Here are all 2 factors of 101, listed from smallest to largest.
Factor pairs of 101
There is only one factor pair for 101, because it is prime.
Prime factorization of 101
101 is a prime number, so it cannot be broken down further. Its prime factorization is simply 101.
Properties of 101
| Number of factors | 2 |
|---|---|
| Sum of factors | 102 |
| Sum of proper factors | 1 |
| Prime factorization | 101 |
| Prime or composite? | Prime |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 101 interesting
- 101 is a prime number, so its only factors are 1 and 101. It cannot be split into a product of two smaller whole numbers.
- Every prime number is deficient — the sum of its proper factors is always 1, which is far less than the number itself.
How to find the factors of 101 yourself
Divide 101 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √101 ≈ 10.05, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 101. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 101.
Frequently asked questions about 101
What are the factors of 101?
Is 101 a prime number?
What is the prime factorization of 101?
What two numbers multiply to give 101?
What is the sum of the factors of 101?
Is 101 a perfect square?
What is the largest factor of 101 other than itself?
How many factors does 101 have?
Explore more
Try another number in the factor calculator, break 101 down further with the prime factorization calculator, or compare 101 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.