Find the least positive integer that yields the remainders 1, 3, and 5 when divided by 5, 7, and 9, respectively

9 For the rumbers 588 and 2520 A. FaCTor each imbor into a product Of Primes in cañonicat fom. B FInd the arCCUCSt common factor C. FInd the ast commnactor

Use the quotient remainder theorem and division into casesto show for all integers n, the integer n2 has a remainder of0 or 1 when divided by 3.

Discrete Math. Find the remainders of the following: Use the reduction technique to find the remainders. Show step by step how to find the remainders! Thank you in advanced!

Use the unique factorization theorem to write the following integers in standard factored form. (a) 4,116 2.3.73 (b) 1,911 (c) 2,205

Find the LCM and GCF of 5940 and 3780 using their prime factorization trees.

5. Find the least positive remainder and quotient of -123455781 when divided by 911.

(9)  ​"Casting out​ nines" is a computation check method involving remainders. This method involves dividing each number on both sides of the equation by​ 9, replacing each number with its remainder after being divided by​ 9, and redoing the​ calculations, dividing any necessary numbers by 9 again after the calculations are complete. If the original computation was​ correct, then the new computation will be correct. If the new computation is​ wrong, then the original computation was wrong. Use the method of casting out nines to show that the following computations are wrong.   a. 99+25=524 b. 11,399−14=11,345 c. 99•26=2575

When the students in the class lined up four to a row, there was one left over; whenthey lined up five to a row, there were two left over; and when they lined up seven toa row, there were three left over. How many students are in the class? The problem is said to apply CRT, chinese remainder theorem

When using Euclid's algorithm to find the GCD of 820 and 730, what are the first three remainders you find? {put one in each answerbox in order as found).