Divisors of 121: All 3 Factors

Divisors (Factors) Calculator

Use the calculator above to find all divisors (also called factors) of any positive integer up to 4,782,969. Beyond the divisor list, this tool also shows divisor pairs, the sum and count of divisors, prime factorization, and number properties (prime, perfect square, perfect number).

All Divisors of 121

The number 121 has 3 divisors:

1,  11,  121

Divisor Pairs of 121

Each pair multiplies to 121:

Note: the last pair has identical factors (11 × 11) because 121 is a perfect square.

Number of Divisors

The number 121 has 3 divisors, written as τ(121) = 3 in number theory.

⚡ Notice: 121 has an odd number of divisors — this means 121 is a perfect square (√121 = 11).

Sum of Divisors

σ(121) = 1 + 11 + 121 = 133

Prime Factorization of 121

See the full prime factorization calculator →

Properties of 121

• 121 is composite.
• 121 is a perfect square (√121 = 11).
• Number of divisors: 3.
• Sum of divisors: 133.

Common Divisors with Another Number?

Looking for the divisors that 121 shares with another number? Use our Greatest Common Factor (GCF) calculator — it finds all common divisors and the largest one.

Step-by-Step: How to Find the Divisors of 121

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √121 ≈ 11.00. If i divides 121, then both i and 121/i are divisors.

1. 1 divides 121 (121 ÷ 1 = 121) → pair (1, 121)
2. 11 divides 121 (121 ÷ 11 = 11) → pair (11, 11)
3. Collect all unique values: {1, 11, 121} — total 3 divisors.
4. Sum: 1 + 11 + 121 = 133.

Nearby Examples

Related Operations for 121

• Multiples of 121 — "outward" complement; M is a multiple of 121 ⇔ 121 is a divisor of M
• 121 Prime Factorization — decompose into prime building blocks
• Find GCF of 121 and another number
• Find LCM of 121 and another number
• Is 121 a perfect square? (odd divisor count ⇔ yes)

See also our tables of divisors:

• Table of all divisors from 1 to 100
• Table of all divisors from 1 to 500
• Table of all divisors from 1 to 1,000
• Table of all divisors from 1 to 10,000

What Is a Divisor?

A divisor (also called a factor) of a positive integer n is any positive integer d such that n ÷ d has no remainder. In other words, d divides n evenly.

Every positive integer n has at least two divisors: 1 and n itself (with 1 being the trivial case of having only itself). Numbers with exactly 2 divisors are prime; numbers with 3 or more divisors are composite.

Why use this calculator? Beyond just listing divisors, this tool computes the sum σ(n), the count τ(n), prime factorization, divisor pairs (useful for visual learners and factoring problems), and detects whether n is a prime, a perfect square, or a perfect number.

References

• [1] Divisor (Wikipedia)
• [2] Divisor function (Wikipedia)
• [3] Divisor (Wolfram MathWorld)

Divisors Calculation Examples

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