Conjecture: The number 60 can be evenly divided by all numbers from 1 to 9.

Is this conjecture true?

Yes.

No, 60 cannot be evenly divided by 7, 8, or 9.

No, 60 cannot be evenly divided by 7.5.

No, 60 is a prime number.

1 answer

The conjecture states that the number 60 can be evenly divided by all numbers from 1 to 9. Let's analyze this:

  • 60 ÷ 1 = 60 (evenly divisible)
  • 60 ÷ 2 = 30 (evenly divisible)
  • 60 ÷ 3 = 20 (evenly divisible)
  • 60 ÷ 4 = 15 (evenly divisible)
  • 60 ÷ 5 = 12 (evenly divisible)
  • 60 ÷ 6 = 10 (evenly divisible)
  • 60 ÷ 7 = 8.57 (not evenly divisible)
  • 60 ÷ 8 = 7.5 (not evenly divisible)
  • 60 ÷ 9 = 6.67 (not evenly divisible)

From this analysis, we see that 60 is not evenly divisible by 7, 8, or 9.

Therefore, the correct answer is:

No, 60 cannot be evenly divided by 7, 8, or 9.

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