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Q: Can you find a stratergy for splitting numbers so that you always get the largest product?

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The largest number is 9.

35

679 is the product of the largest single-digit prime number and the largest two-digit prime number.

95 is the product of two primes, 5 and 19.

There is no correct answer to this question, because it is nonsensical.The question asks for a largest prime number. By definition, a prime number is NOT the product of 2 (or more) prime numbers. So it is nonsensical to ask for any prime number that is the product of 2 prime numbers.

Related questions

The largest number is 9.

Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

35

679 is the product of the largest single-digit prime number and the largest two-digit prime number.

20 and 20.

Yes.

The largest integer that is not the product of two or more different primes would be the largest prime number. Because there are an infinite number of prime numbers, there is no largest integer that is not the product of two or more different primes.

95 is the product of two primes, 5 and 19.

99*99=9801

There is no correct answer to this question, because it is nonsensical.The question asks for a largest prime number. By definition, a prime number is NOT the product of 2 (or more) prime numbers. So it is nonsensical to ask for any prime number that is the product of 2 prime numbers.

5,6,7

"Either" is used for two. I'll assume that you mean "larger than ANY of them". The following applies to ANY real numbers.For TWO numbers, the product is larger than either of them if both numbers are greater than one. For THREE numbers, the product is larger than any of them if the two numbers OTHER than the largest number have a product greater than one. For example: 0.5, 3, 5 The largest number here is 5; the product of the OTHER two is 0.5 x 3 = 1.5. Or here is an example with integers: -5, -3, 10 The product of the "other two" numbers is 15, which is larger than one - so the product of all three is larger than the largest number (and therefore, larger than ANY of them). Another example: -5, 1, 10 The product of the two numbers OTHER than the largest is -5 x 1 = -5; since this is NOT greater than 1, the product of all three is NOT greater than any of the numbers. This reasoning can be extended to four or more numbers. For 4 numbers: If the product of all three numbers OTHER than the largest one is GREATER than one, then the product of ALL FOUR numbers is greater than ANY of them.