Here we will explain what 131 mod 43 means and show how to calculate it. 131 mod 43 is short for 131 modulo 43 and it can also be called 131 modulus 43.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 131 mod 43?" you are asking "What is the Remainder when you divide 131 by 43?".
We will show you two methods of finding 131 mod 43 (131 modulo 43). To differentiate our methods, we will call them the "Modulo Method" and the "Modulus Method".
Before we continue, we remind you of what the different parts of a division problem are called so you can follow along: Dividend / Divisor = Quotient and in this case 131 is the Dividend, 43 is the Divisor, and the answer is called the Quotient.
Furthermore, the Quotient x.y has two parts: x to the left of the decimal point is the Whole part, and y to the right of the decimal point is the Fractional part.
Modulo Method
To find 131 mod 43 using the Modulo Method, we first divide the Dividend (131) by the Divisor (43).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (43).
Then finally, we subtract the answer in the second step from the Dividend (131) to get the answer. Here is the math to illustrate how to get 131 mod 43 using our Modulo Method:
131 ÷ 43 ≈ 3.046512
3 × 43 = 129
131 - 129 = 2
Thus, the answer to "What is 131 mod 43?" is 2.
Modulus Method
To find 131 mod 43 using the Modulus Method, we first find the highest multiple of the Divisor (43) that is equal to or less than the Dividend (131).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 131 modulus 43 (131 mod 43):
Multiples of 43 are 0, 43, 86, 129, etc. and the highest multiple of 43 equal to or less than 131 is 129. Therefore, to get the answer:
131 - 129 = 2
Thus, once again, the answer to "What is 131 mod 43?" is 2.
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