Factors of 161
The factors of 161 are 1, 7, 23, and 161. In total, 161 has 4 factors. Its prime factorization is 7 × 23, and the sum of all its factors is 192.
All factors of 161
Here are all 4 factors of 161, listed from smallest to largest.
Factor pairs of 161
These 2 pairs of whole numbers each multiply to give 161.
Prime factorization of 161
Dividing 161 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 161 are 7, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 161
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 161
| Number of factors | 4 |
|---|---|
| Sum of factors | 192 |
| Sum of proper factors | 31 |
| Prime factorization | 7 × 23 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 161 interesting
- 161 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 161 is a deficient number: its proper factors sum to 31, which is 130 less than 161 itself.
How to find the factors of 161 yourself
Divide 161 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 √161 ≈ 12.69, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 23, 161. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 161.
Frequently asked questions about 161
What are the factors of 161?
Is 161 a prime number?
What is the prime factorization of 161?
What two numbers multiply to give 161?
What is the sum of the factors of 161?
Is 161 a perfect square?
What is the largest factor of 161 other than itself?
How many factors does 161 have?
Explore more
Try another number in the factor calculator, break 161 down further with the prime factorization calculator, or compare 161 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.