What is 3 Mod 97? (3 % 97)

In this article we're going to look at what 3 mod 97 means and how we can calculate that. This type of divisibility operation is called mod, modulo or modulus and you can often see the symbol % used as well (i.e. 3 % 97)

Modulo is the mathematical operation which lets you find the remainder when dividing two numbers like 3 and 97 together. When are say "what is 3 % 97?" we are asking "when I divide 3 by 97, what is the remainder?"



  • The first number, 3, is called the dividend
  • The second number, 97, is called the divisor
  • When you divide 3 by 97, the answer is called the quotient

To calculate 3 mod 97 we first need to divide 3 by 97 to get the quotient:

3 / 97 =  0.03

Now we have the quotient, we take the whole part of it (0) and multiply it by the divisor (97):

0 x 97 = 0


3 - 0 = 3

Therefore, the final answer is:

3 mod 97 = 3

We could also calculate this using a different method. To use this method, list out all of the multiples of the divisor (97) and find the one that is equal to or less than the dividend (3).

The multiples of 97 are: 0, 97, 194, 291, and so on.

As we look at those multiples of 97 we can see that the highest number that is less than or equal to the dividend (3) is 0.


3 - 0 = 3


3 mod 97 = 3


Link To or Reference This Page


  • "What is 3 Mod 97? (3 % 97)". DivisibleBot.com. Accessed on August 6, 2021. https://divisiblebot.com/modulo/3-97/.

  • "What is 3 Mod 97? (3 % 97)". DivisibleBot.com, https://divisiblebot.com/modulo/3-97/. Accessed 6 August, 2021.

  • What is 3 Mod 97? (3 % 97). DivisibleBot.com. Retrieved from https://divisiblebot.com/modulo/3-97/.

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