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Earn +20 ptsQ: What is the largest two digit number with exactly 6 factors?
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What is the largest 4 digit number that has exactly 3 factors?
9409
What is the largest 3 digit number with exactly five prime factors?
The best way to tackle this is to take the largest 3 digit number (999) and work out its prime factors. You can then work down until you get one with exactly five prime factors. 999 is 3x3x3x37, 998 is 2x499, 997 is prime, 996 is 2x2x3x83, 995 is 5x199, 994 is 2x7x71, 993 is 3x331, 992 is 2x2x2x2x2x31, 991 is prime, 990 is 2x3x3x5x11. That is the first we came across with five prime factors. Therefore the largest 3 digit number with exactly five prime factors is 990.
What is the the largest four-digit divisor that has exactly three divisors?
I think you mean, the largest four digit number that has exactly three divisors. 2X3X1663=9,978
What is the smallest two digit number with exactly 10 factors?
45
What is the largest 2 digit number with only 6 factors?
It is 99.
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