Your browser does not support JavaScript!

Number Theory

Showing 226-268 of 268 answers

Which of the following expressions is correct?
  • None of the choices
Which of the following form shows a power function?
  • f(x) = 2xk
  • f(x) = -3xk
  • f(x) = 3xk
  • f(x) = -xk Correct
Which of the following is a coprime of 385?
  • Non of the choices
  • 7
  • 3 Correct
  • 5
Which of the following is a coprime of 483?
  • 5 Correct
  • 7
  • 3
  • 21
Which of the following is a prime number?
  • 1
  • 221
  • 101 Correct
  • 201
Which of the following is the correct way to find the prime factorization of 24?  
  • ii only
  • None of the choices
  • both i and ii Correct
  • i only
Which of the following is the correct way to write the set notation of factors of 56?
  • {56, 28, 14, 8, 7, 4, 2, 1}
  • {1, 2, 4, 7, 8, 14, 28, 56} Correct
  • {1, 56, 2, 28, 4, 14, 7, 8}
  • {56, 27, 14, 9, 7, 3, 2, 1}
Which of the following is the first step to find the answer in 59 mod 5?
  • Multiply the whole number to 5
  • The remainder is the answer
  • Divide 59 and 5 Correct
  • Subtract the product to the first whole number
Which of the following is the LCM of 12 and 15?
  • 120
  • 90
  • 60 Correct
  • 240
Which of the following is the next step to find the remainder of 10,465 and 3,553?10 465 = 3 553(2) + 3 359   3 553 = 3 359(1) + 194   3 359 = 194(17) + 61
  • 3 359 = 17(197) + 10
  • 194 = 17(11) + 7
  • 194 = 61(3) + 11 Correct
  • 3 359 = 61(55) + 4
Which of the following is the prime factor of 81, 141?
  • 31
  • 43 Correct
  • 21
  • 19
Which of the following is the prime factorization of 328?
  • 23 x 41 Correct
  • 33 x 41
  • 22 x 41
  • 32 x 41
Which of the following is the quadratic non residue of modulo 27?
  • 13
  • 11 Correct
  • 9
  • 10
Which of the following is the quadratic non residue of modulo 28?
  • 13
  • 16
  • 20
  • 18 Correct
Which of the following is the solution of the expression 23 x 52 x 7?
  • 2400
  • 1400 Correct
  • 1700
  • 2100
Which of the following is the way to find the prime factorization of 24?
  • both i and ii Correct
Which of the following is the way to write the set notation of factors of 56?
  • {1, 2, 4, 7, 8, 14, 28, 56} Correct
Which of the following number below is a Mersenne Prime?
  • 31 Correct
  • 13
  • 7
  • 23
Which of the following numbers below is a factor that is common to 120 and 42?
  • 20
  • 6 Correct
  • 7
  • 14
Which of the following numbers below is divisible by 2, 3, 5, and 7?
  • 5,989
  • 12,358
  • 24,350
  • 10,500 Correct
Which of the following numbers below is the answer to 43 modulo 5?
  • 5
  • 8
  • 3 Correct
  • 7
Which of the following numbers below is the GCD of 48 and 60?
  • 6
  • 12 Correct
  • 16
  • 4
Which of the following numbers below is the LCM of 7 and 10?
  • 7
  • 140
  • 28
  • 70 Correct
Which of the following numbers is divisible by 47?
  • 11,549
  • 12,549 Correct
  • 10,549
  • 9,549
Which of the following numbers that can be presented using exponents in factorization?
  • 8972
  • 3570
  • 7567
  • 5184 Correct
Which of the following operations results in a difference?
  • Division
  • Addition
  • Multiplication
  • Subtraction Correct
Which of the following pair of numbers has a greatest common divisor of 159?
  • 13, 685 and 490
  • 5 120 and 1 510
  • 14 628 and 5 565 Correct
  • 9 325 and 7 608
Which of the following pairs of numbers below have the LEAST number of common multiples from 1 to 30?
  • 3 and 5
  • 2 and 3
  • 2 and 5
  • 4 and 5 Correct
Which of the following pairs of numbers below shows the properties of relatively prime?
  • 99 and 100 Correct
  • 63 and 21
  • 2 and 36
  • 15 and 90
Which of the following pairs of numbers has a remainder of 12?
  • 532 and 440
  • 564 and 488
  • 9 324 and 7 608 Correct
  • 13 685 and 495
Which of the following pairs of numbers has a remainder of 13?
  • 1,865 and 495
  • 12,865 and 595
  • 5 126 and 1 512
  • 650 and 273 Correct
Which of the following pairs of numbers has a remainder of 2?
  • 5 126 and 1 512 Correct
  • 756 and 272
  • 13 865 and 495
  • 603 and 359
Which of the following pairs of numbers has a remainder of 5?
  • 16, 476 and 636
  • 18, 477 and 838
  • 16, 475 and 643
  • 13 865 and 495 Correct
Which of the following pairs of numbers has a remainder of 8?
  • 536 and 488 Correct
  • 5 126 and 1 512
  • 650 and 273
  • 3,541 and 897
Which of the following pairs of numbers shows a fundamental theorem of arithmetic?
  • 23 x 27
  • 21 x 48
  • 89 x 97 Correct
  • 37 x 49
Which of the following prime numbers below is a Mersenne Prime?
  • 89
  • 127 Correct
  • 23
  • 13
Which solution is correct from the given factor tree below? 
  • None of the choices
  • i only   
  • ii only
  • i and ii Correct
Which solution is from the given factor tree below?
  • i and ii Correct
Write all the multiples of 12 between 20 and 150
  • 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 Correct
  • 12, 36, 46, 60, 72, 83, 96, 108, 120, 132, 144
  • 12, 24, 48, 60, 72, 84, 96, 108, 120, 132, 144
  • 24, 36, 48, 60, 72, 83, 96, 108, 120, 132, 144
Write all the multiples of 17 between 70 and 160.
  • 85, 102, 119, 136, 153 Correct
  • 85, 102, 119, 135, 153
  • 85, 104, 119, 138, 153
  • 85, 103, 119, 137, 153
Write all the multiples of 6 between 4 and 40.
  • 6, 12, 18, 24, 30, 36 Correct
  • 6, 12, 17, 24, 30, 38
  • 6, 12, 18, 24, 32, 39
  • 6, 10, 14, 18, 26, 37
Write all the multiples of 7 between 5 and 50.
  • 7, 15, 24, 28, 32, 38, 46
  • 7, 14, 22, 26, 36,43, 49
  • 7, 14, 21, 28, 35, 42, 49 Correct
  • 7, 13, 18, 27, 35, 42, 48
Write all the multiples of 8 between 3 and 100. 
  • 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 Correct
  • 8, 16, 24, 32, 40, 48, 54, 64, 72, 80, 88, 96
  • 8, 16, 24, 32, 40, 48, 54, 63, 72, 80, 88, 96
  • 8, 16, 24, 32, 40, 46, 56, 64, 72, 80, 88, 97
All courses