yCalculator

Factor Calculator

Last updated: April 2026

Factor calculator

Factors of n are all integers that divide n exactly with no remainder. Max recommended: 10,000,000.

Number of factors

8

Factor properties

Is prime? No
Is perfect? No
Is abundant? Yes
Is deficient? No
Smallest prime factor: 2

All factors of 24

1
2
3
4
6
8
12
24
Step-by-step working
  1. Test divisors from 1 to sqrt(24) ≈ 4.90
  2. 1: 24 / 1 = 24 OK -> factors 1 and 24
  3. 2: 24 / 2 = 12 OK -> factors 2 and 12
  4. 3: 24 / 3 = 8 OK -> factors 3 and 8
  5. 4: 24 / 4 = 6 OK -> factors 4 and 6
  6. All factors: 1, 2, 3, 4, 6, 8, 12, 24
  7. Count: 8 factors

What are factors and multiples?

A factor divides a number exactly. A multiple is the result of multiplying a number by an integer.

How to find prime factorisation

Keep dividing by prime numbers until the remaining value is 1. The primes used are the prime factors.

What is a prime number?

A prime number has exactly two positive factors: 1 and itself.

Perfect numbers

A perfect number equals the sum of its proper factors. For example, 6 = 1 + 2 + 3.

What does this mean?

This calculator is designed to help you understand the likely number before you make a decision or start an application.

Your result should be checked against official UK guidance, especially if your circumstances include dependants, exemptions, prior leave, or a complex immigration history.

Treat the figure as a planning tool rather than legal advice. Where the answer affects an application deadline or major payment, speak to an authorised adviser.

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