What is 3 Mod 31? (3 % 31)
In this article we're going to look at what 3 mod 31 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 % 31)
Modulo is the mathematical operation which lets you find the remainder when dividing two numbers like 3 and 31 together. When are say "what is 3 % 31?" we are asking "when I divide 3 by 31, what is the remainder?"
In math, we use modulo frequently. It can be used to check if a number is even or odd, clocks use it to tell the time, and you can use it to count something for a certain number of times as well.
Before we begin, let's cover the terms you need to know:
- The first number, 3, is called the dividend
- The second number, 31, is called the divisor
- When you divide 3 by 31, the answer is called the quotient
- The quotient is made up of the whole number part (called the whole) and the decimal places part (called the fractional)
To calculate 3 mod 31 we first need to divide 3 by 31 to get the quotient:
Now we have the quotient, we take the whole part of it (0) and multiply it by the divisor (31):
We then take the result of that calculation and subtract it from the dividend to get the answer:
3 - 0 = 3
Therefore, the final answer is:
3 mod 31 = 3
We could also calculate this using a different method. To use this method, list out all of the multiples of the divisor (31) and find the one that is equal to or less than the dividend (3).
The multiples of 31 are: 0, 31, 62, 93, and so on.
As we look at those multiples of 31 we can see that the highest number that is less than or equal to the dividend (3) is 0.
Once we have that number, we subtract 0 from the dividend to get our answer:
3 - 0 = 3
Therefore, the solution using this method is the same as the previous modulo method:
3 mod 31 = 3
If you enjoyed this article I challenge you now to calculate some problems yourself or use the list below to read up on how to calculate this with different numbers and try to work out it out for yourself.
Link To or Reference This Page
If you found this content useful in your research, please do us a great favor and use the tool below to make sure you properly reference us wherever you use it. We really appreciate your support!
"What is 3 Mod 31? (3 % 31)". DivisibleBot.com. Accessed on July 30, 2021. https://divisiblebot.com/modulo/3-31/.
"What is 3 Mod 31? (3 % 31)". DivisibleBot.com, https://divisiblebot.com/modulo/3-31/. Accessed 30 July, 2021.
What is 3 Mod 31? (3 % 31). DivisibleBot.com. Retrieved from https://divisiblebot.com/modulo/3-31/.
Calculate Another Problem
Here are some more random calculations for you:
- What is 79 Mod 83?
- What is 89 Mod 94?
- What is 83 Mod 74?
- What is 44 Mod 5?
- What is 17 Mod 62?
- What is 76 Mod 29?
- What is 85 Mod 42?
- What is 53 Mod 82?
- What is 35 Mod 68?
- What is 35 Mod 70?
- What is 81 Mod 10?
- What is 33 Mod 15?
- What is 26 Mod 99?
- What is 25 Mod 93?
- What is 20 Mod 81?
- What is 95 Mod 34?
- What is 29 Mod 45?
- What is 67 Mod 10?
- What is 8 Mod 73?
- What is 25 Mod 85?
- What is 68 Mod 6?
- What is 76 Mod 94?
- What is 26 Mod 88?
- What is 7 Mod 74?
- What is 63 Mod 10?
- What is 82 Mod 65?
- What is 5 Mod 2?
- What is 29 Mod 14?
- What is 50 Mod 28?
- What is 83 Mod 84?