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How many divisors does 25 have?

Published in Number Theory 1 min read

The number 25 has exactly 3 divisors.

Understanding Divisors

A divisor of a number is any whole number that divides the number evenly, with no remainder. To find the divisors of a number like 25, we look for all the numbers that can be multiplied together to get 25, or numbers that 25 can be divided by without leaving a fraction.

Divisors of 25

Based on the Table of divisors from Wikipedia [1], the divisors of 25 are listed.

  • 1
  • 5
  • 25

Let's verify this:

  • 25 ÷ 1 = 25 (no remainder)
  • 25 ÷ 5 = 5 (no remainder)
  • 25 ÷ 25 = 1 (no remainder)

Any other whole number (like 2, 3, 4, etc.) would leave a remainder when dividing 25.

Reference Information

The provided reference confirms these divisors:

n Divisors Notes
25 1, 5, 25 deficient, composite
26 1, 2, 13, 26 deficient, composite

Reference: Table of divisors - Wikipedia [1]

Counting the numbers in the list of divisors for 25 (1, 5, 25) shows that there are 3 divisors.

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