When you say "between", I start listening for two numbers.
I'm still waiting to hear the second number.
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The whole numbers between 34 and 41 are: 35, 36, 37, 38, 39, 40 Therefore, there are 6 numbers between 34 and 41, not including themselves.
The two numbers that can multiply to make 38 are 1 and 38, as 1 multiplied by 38 equals 38. Another pair of numbers that can multiply to make 38 is 2 and 19, as 2 multiplied by 19 also equals 38. These are the only pairs of whole numbers that can multiply to give 38.
With whole posieive numbers, there are two. 1 x 38 and 2 x 19.
"Two consecutive numbers" implies that these are whole numbers. Consecutive whole numbers have different parity - that is to say that one is odd and the other even, which means that their sum must be odd. Since 38 is even the problem has no solution.
Well, honey, the whole numbers closest to 37 are 36 and 38. It's not rocket science, just basic math. So, there you have it, the closest whole numbers to 37 are 36 and 38.