Here we will explain what 160 mod 147 means and show how to calculate it. 160 mod 147 is short for 160 modulo 147 and it can also be called 160 modulus 147.
Modulo is the operation of finding the Remainder when you divide two numbers. Therefore, when you ask "What is 160 mod 147?" you are asking "What is the Remainder when you divide 160 by 147?".
We will show you two methods of finding 160 mod 147 (160 modulo 147). 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 160 is the Dividend, 147 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 160 mod 147 using the Modulo Method, we first divide the Dividend (160) by the Divisor (147).
Second, we multiply the Whole part of the Quotient in the previous step by the Divisor (147).
Then finally, we subtract the answer in the second step from the Dividend (160) to get the answer. Here is the math to illustrate how to get 160 mod 147 using our Modulo Method:
160 ÷ 147 ≈ 1.088435
1 × 147 = 147
160 - 147 = 13
Thus, the answer to "What is 160 mod 147?" is 13.
Modulus Method
To find 160 mod 147 using the Modulus Method, we first find the highest multiple of the Divisor (147) that is equal to or less than the Dividend (160).
Then, we subtract the highest Divisor multiple from the Dividend to get the answer to 160 modulus 147 (160 mod 147):
Multiples of 147 are 0, 147, 294, 441, etc. and the highest multiple of 147 equal to or less than 160 is 147. Therefore, to get the answer:
160 - 147 = 13
Thus, once again, the answer to "What is 160 mod 147?" is 13.
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