Divisors of 438: 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 438

The number 438 has 8 divisors:

1,  2,  3,  6,  73,  146,  219,  438

Divisor Pairs of 438

Each pair multiplies to 438:

Number of Divisors

The number 438 has 8 divisors, written as τ(438) = 8 in number theory.

Sum of Divisors

σ(438) = 1 + 2 + 3 + 6 + 73 + 146 + 219 + 438 = 888

Prime Factorization of 438

See the full prime factorization calculator →

Properties of 438

• 438 is composite.
• 438 is not a perfect square.
• Number of divisors: 8.
• Sum of divisors: 888.

Common Divisors with Another Number?

Looking for the divisors that 438 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 438

An efficient way to find divisors uses the complementary pair trick: check each integer i from 1 to √438 ≈ 20.93. If i divides 438, then both i and 438/i are divisors.

1. 1 divides 438 (438 ÷ 1 = 438) → pair (1, 438)
2. 2 divides 438 (438 ÷ 2 = 219) → pair (2, 219)
3. 3 divides 438 (438 ÷ 3 = 146) → pair (3, 146)
4. 6 divides 438 (438 ÷ 6 = 73) → pair (6, 73)
5. Collect all unique values: {1, 2, 3, 6, 73, 146, 219, 438} — total 8 divisors.
6. Sum: 1 + 2 + 3 + 6 + 73 + 146 + 219 + 438 = 888.

Nearby Examples

Related Operations for 438

• Multiples of 438 — "outward" complement; M is a multiple of 438 ⇔ 438 is a divisor of M
• 438 Prime Factorization — decompose into prime building blocks
• Find GCF of 438 and another number
• Find LCM of 438 and another number
• Is 438 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

Find all divisors of these numbers: