What is 3 Mod 15? (3 % 15)
In this article we're going to look at what 3 mod 15 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 % 15)
Modulo is the mathematical operation which lets you find the remainder when dividing two numbers like 3 and 15 together. When are say "what is 3 % 15?" we are asking "when I divide 3 by 15, 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, 15, is called the divisor
- When you divide 3 by 15, 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 15 we first need to divide 3 by 15 to get the quotient:
Now we have the quotient, we take the whole part of it (0) and multiply it by the divisor (15):
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 15 = 3
We could also calculate this using a different method. To use this method, list out all of the multiples of the divisor (15) and find the one that is equal to or less than the dividend (3).
The multiples of 15 are: 0, 15, 30, 45, and so on.
As we look at those multiples of 15 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 15 = 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 15? (3 % 15)". DivisibleBot.com. Accessed on August 6, 2021. https://divisiblebot.com/modulo/3-15/.
"What is 3 Mod 15? (3 % 15)". DivisibleBot.com, https://divisiblebot.com/modulo/3-15/. Accessed 6 August, 2021.
What is 3 Mod 15? (3 % 15). DivisibleBot.com. Retrieved from https://divisiblebot.com/modulo/3-15/.
Calculate Another Problem
Here are some more random calculations for you:
- What is 40 Mod 18?
- What is 48 Mod 21?
- What is 68 Mod 43?
- What is 22 Mod 4?
- What is 59 Mod 56?
- What is 80 Mod 89?
- What is 83 Mod 17?
- What is 19 Mod 36?
- What is 66 Mod 28?
- What is 38 Mod 82?
- What is 36 Mod 47?
- What is 59 Mod 22?
- What is 51 Mod 81?
- What is 32 Mod 52?
- What is 83 Mod 26?
- What is 49 Mod 17?
- What is 96 Mod 5?
- What is 67 Mod 83?
- What is 35 Mod 11?
- What is 55 Mod 2?
- What is 86 Mod 30?
- What is 41 Mod 54?
- What is 75 Mod 56?
- What is 40 Mod 80?
- What is 76 Mod 88?
- What is 54 Mod 46?
- What is 24 Mod 72?
- What is 90 Mod 43?
- What is 20 Mod 69?
- What is 78 Mod 18?