Divisors of 938: All 8 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 938

The number 938 has 8 divisors:

1,  2,  7,  14,  67,  134,  469,  938

Divisor Pairs of 938

Each pair multiplies to 938:

Number of Divisors

The number 938 has 8 divisors, written as τ(938) = 8 in number theory.

Sum of Divisors

σ(938) = 1 + 2 + 7 + 14 + 67 + 134 + 469 + 938 = 1632

Prime Factorization of 938

See the full prime factorization calculator →

Properties of 938

• 938 is composite.
• 938 is not a perfect square.
• Number of divisors: 8.
• Sum of divisors: 1632.

Common Divisors with Another Number?

Looking for the divisors that 938 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 938

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √938 ≈ 30.63. If i divides 938, then both i and 938/i are divisors.

1. 1 divides 938 (938 ÷ 1 = 938) → pair (1, 938)
2. 2 divides 938 (938 ÷ 2 = 469) → pair (2, 469)
3. 7 divides 938 (938 ÷ 7 = 134) → pair (7, 134)
4. 14 divides 938 (938 ÷ 14 = 67) → pair (14, 67)
5. Collect all unique values: {1, 2, 7, 14, 67, 134, 469, 938} — total 8 divisors.
6. Sum: 1 + 2 + 7 + 14 + 67 + 134 + 469 + 938 = 1632.

Nearby Examples

Related Operations for 938

• Multiples of 938 — "outward" complement; M is a multiple of 938 ⇔ 938 is a divisor of M
• 938 Prime Factorization — decompose into prime building blocks
• Find GCF of 938 and another number
• Find LCM of 938 and another number
• Is 938 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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