Find the remainder of 3 250 / 7
WebFind step-by-step Advanced math solutions and your answer to the following textbook question: (a) Find the remainders when $2^{50}$ and $41^{65}$ are divided by $7 .$ (b) What is the remainder when the following sum is divided by 4? $$ 1^{5}+2^{5}+3^{5}+\dots+99^{5}+100^{5} $$. WebAnswer (1 of 9): 10 We need to find out Rem [(7^243 - 243^7)/17] = Rem [(7^243 - 3^35)/17] = Rem [7^243/17] - Rem [3^35/17] Now, let's calculate them ...
Find the remainder of 3 250 / 7
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WebOne way is to divide with a remainder, meaning that the division problem is carried out such that the quotient is an integer, and the leftover number is a remainder. For example, 9 … WebIn this problem, the remainder would only be 1. However, if you were to write the quotient out, it would be 2 + 1/4. It's the same way with polynomials. When talking about the …
WebJul 5, 2024 · We reverse the number from end and series from the beginning and keep adding multiplication to the result. (12345 % 7) = (5*1 + 4*3 + 3*2 + 2* (-1) + 1* (-3)) % 7 … WebThere is a difference of 6 between 1 and 7. The next exponent to yield a remainder of 3 should be 13 (and then 19 and then 25, etc.) 1, 7, 19, 25, etc are all 1 more than a …
WebRemember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 10 by 2. Write the remainder after subtracting the bottom number … WebOct 25, 2024 · D. 7. E. 1. 333 222 = ( 329 + 4) 222 = ( 7 ∗ 47 + 4) 222. Now if we expand this, all terms but the last one will have 7*47 as a multiple and thus will be divisible by 7. The last term will be 4 222 = 2 444. So we should find the remainder when 2 444 is divided by 7. 2^1 divided by 7 yields remainder of 2;
WebAnswer (1 of 12): \text{ 3 and 17 are prime numbers. Hence by Fermat’s little theorem.} 3^{16}\equiv 1\pmod{17} \implies (3^{16})^{15}\equiv (1)^{15}\pmod{17 ...
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