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Q #6
:

CAT Number Systems - Even Factors


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Number N = 26 * 55 * 76 * 107 how many factors of N are even numbers?
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Q #7
:

CAT Number Systems - Perfect Cube


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Numbers A, B, C and D have 16, 28, 30 and 27 factors. Which of these could be a perfect cube?
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Q #8
:

CAT Number Theory 'abcabc'


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If a three digit number ‘abc’ has 3 factors, how many factors does the 6-digit number ‘abcabc’ have?
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Q #9
:

CAT Number Systems - Brute Force


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How many numbers are there less than 100 that cannot be written as a multiple of a perfect square greater than 1?
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Q #10
:

CAT Number Systems - 18 factors


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Find the smallest number that has exactly 18 factors.
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