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Q: What is the largest two digit number with exactly 6 factors?

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Related questions

9409

98

81

95

80

56

997

The largest one digit number that has three factors is 9. Its factors are 1, 3, and 9.

97

36 has nine factors.

625 has five factors.

64

The largest two digit number with six factors is 98 (1, 2, 7, 14, 49, and 98).

95

80

88

81

I think you mean, the largest four digit number that has exactly three divisors. 2X3X1663=9,978

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.

9801.

1369

625

45

The largest four digit number is 9999 9999 ÷ 88 = 113 remainder 55 ⇒ The largest four digit number divisible by 88 is 9999 - 55 = 9944

It is 99.