Factor Calculator

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.

1723161

Factor pairs of 161

These 2 pairs of whole numbers each multiply to give 161.

1 × 161 = 161
7 × 23 = 161

Prime factorization of 161

Dividing 161 by the smallest prime at each step gives its prime factorization:

161 ÷ 7 = 23
23 ÷ 23 = 1
Result: 161 = 7 × 23 = 7 × 23

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.

Factor tree of 161161723
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 161

Number of factors4
Sum of factors192
Sum of proper factors31
Prime factorization7 × 23
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √16112.69, because every factor above that pairs with one below it.

161 ÷ 1 = 161
161 ÷ 7 = 23

Reading both columns gives every factor: 1, 7, 23, 161. The factor calculator does this automatically for any number.

Frequently asked questions about 161

What are the factors of 161?

The factors of 161 are 1, 7, 23, and 161. That is 4 factors in total, counting both 1 and 161.

Is 161 a prime number?

No, 161 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 161 is also divisible by 7.

What is the prime factorization of 161?

The prime factorization of 161 is 7 × 23. Written out in full: 7 × 23 = 161. Its distinct prime factors are 7, 23.

What two numbers multiply to give 161?

There are 2 pairs of whole numbers that multiply to 161: 1 × 161, 7 × 23.

What is the sum of the factors of 161?

Adding all the factors of 161 together gives 192. Excluding 161 itself, the proper factors sum to 31.

Is 161 a perfect square?

No, 161 is not a perfect square. There is no whole number that multiplies by itself to give 161. The nearest perfect squares are 144 and 169.

What is the largest factor of 161 other than itself?

The largest factor of 161 apart from 161 itself is 23, since 161 ÷ 23 = 7.

How many factors does 161 have?

161 has 4 factors: 1, 7, 23, and 161. You can verify this from the prime factorization 7 × 23: add 1 to each exponent and multiply, giving 2 × 2 = 4.

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.