What is 3 Mod 68? (3 % 68)
In this article we're going to look at what 3 mod 68 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 % 68)
Modulo is the mathematical operation which lets you find the remainder when dividing two numbers like 3 and 68 together. When are say "what is 3 % 68?" we are asking "when I divide 3 by 68, 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, 68, is called the divisor
- When you divide 3 by 68, 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 68 we first need to divide 3 by 68 to get the quotient:
Now we have the quotient, we take the whole part of it (0) and multiply it by the divisor (68):
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 68 = 3
We could also calculate this using a different method. To use this method, list out all of the multiples of the divisor (68) and find the one that is equal to or less than the dividend (3).
The multiples of 68 are: 0, 68, 136, 204, and so on.
As we look at those multiples of 68 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 68 = 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 68? (3 % 68)". DivisibleBot.com. Accessed on July 28, 2021. https://divisiblebot.com/modulo/3-68/.
"What is 3 Mod 68? (3 % 68)". DivisibleBot.com, https://divisiblebot.com/modulo/3-68/. Accessed 28 July, 2021.
What is 3 Mod 68? (3 % 68). DivisibleBot.com. Retrieved from https://divisiblebot.com/modulo/3-68/.
Calculate Another Problem
Here are some more random calculations for you:
- What is 53 Mod 63?
- What is 27 Mod 5?
- What is 60 Mod 78?
- What is 44 Mod 21?
- What is 71 Mod 56?
- What is 36 Mod 49?
- What is 68 Mod 98?
- What is 66 Mod 67?
- What is 33 Mod 24?
- What is 70 Mod 22?
- What is 88 Mod 26?
- What is 38 Mod 14?
- What is 67 Mod 96?
- What is 55 Mod 27?
- What is 85 Mod 20?
- What is 79 Mod 80?
- What is 74 Mod 2?
- What is 35 Mod 14?
- What is 93 Mod 98?
- What is 66 Mod 58?
- What is 88 Mod 53?
- What is 39 Mod 84?
- What is 91 Mod 47?
- What is 2 Mod 91?
- What is 16 Mod 25?
- What is 36 Mod 52?
- What is 45 Mod 23?
- What is 14 Mod 96?
- What is 46 Mod 31?
- What is 82 Mod 99?