What is 3 Mod 1? (3 % 1)
In this article we're going to look at what 3 mod 1 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 % 1)
Modulo is the mathematical operation which lets you find the remainder when dividing two numbers like 3 and 1 together. When are say "what is 3 % 1?" we are asking "when I divide 3 by 1, 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, 1, is called the divisor
- When you divide 3 by 1, 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 1 we first need to divide 3 by 1 to get the quotient:
Now we have the quotient, we take the whole part of it (3) and multiply it by the divisor (1):
We then take the result of that calculation and subtract it from the dividend to get the answer:
3 - 3 = 0
Therefore, the final answer is:
3 mod 1 = 0
We could also calculate this using a different method. To use this method, list out all of the multiples of the divisor (1) and find the one that is equal to or less than the dividend (3).
The multiples of 1 are: 0, 1, 2, 3, and so on.
As we look at those multiples of 1 we can see that the highest number that is less than or equal to the dividend (3) is 3.
Once we have that number, we subtract 3 from the dividend to get our answer:
3 - 3 = 0
Therefore, the solution using this method is the same as the previous modulo method:
3 mod 1 = 0
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 1? (3 % 1)". DivisibleBot.com. Accessed on July 28, 2021. https://divisiblebot.com/modulo/3-1/.
"What is 3 Mod 1? (3 % 1)". DivisibleBot.com, https://divisiblebot.com/modulo/3-1/. Accessed 28 July, 2021.
What is 3 Mod 1? (3 % 1). DivisibleBot.com. Retrieved from https://divisiblebot.com/modulo/3-1/.
Calculate Another Problem
Here are some more random calculations for you:
- What is 19 Mod 87?
- What is 33 Mod 97?
- What is 59 Mod 48?
- What is 30 Mod 90?
- What is 63 Mod 56?
- What is 78 Mod 67?
- What is 49 Mod 38?
- What is 45 Mod 10?
- What is 20 Mod 13?
- What is 94 Mod 42?
- What is 69 Mod 97?
- What is 69 Mod 43?
- What is 98 Mod 12?
- What is 27 Mod 8?
- What is 57 Mod 50?
- What is 34 Mod 39?
- What is 46 Mod 67?
- What is 37 Mod 25?
- What is 6 Mod 64?
- What is 37 Mod 88?
- What is 84 Mod 97?
- What is 68 Mod 10?
- What is 87 Mod 76?
- What is 57 Mod 96?
- What is 45 Mod 59?
- What is 69 Mod 64?
- What is 36 Mod 17?
- What is 86 Mod 29?
- What is 3 Mod 70?
- What is 91 Mod 17?