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Q: Can the product of two numbers never be less than either of the numbers?

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No. If one of the numbers is 0 it is less; if one of the numbers is 1 it is the same as one of them; otherwise the product is greater than either

never less than n

No. The product of two negative numbers is positive.

Not always. Here are counterexamples: Cases involving 1: 1 x 1 = 1 1 x 3 = 3 Cases involving positive numbers less than 1: 0.5 x 10 = 5 0.5 x 0.5 = 0.25 Note that here we have positive numbers that are less than or equal to 1. When either number is less than 1, the product will not be greater than both numbers. Also, if either number is equal to 1, the product will be equal to the larger of the original numbers. A modified statement is the product P of two positive real numbers x and y such that x, y > 1, is greater than both x and y.

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Yes. Natural numbers are counting numbers, equal to or greater than 0. The only ways a product can be less than its multiplicands is when multiplying fractions by fractions or multiplying a positive number by a negative number.

No, the product of two positive mixed numbers can never be less than one.

No. If one of the numbers is 0 it is less; if one of the numbers is 1 it is the same as one of them; otherwise the product is greater than either

If there are no prime factors in common, the LCM will be the product of the two numbers. If common factors exist, the LCM will be less. It will never be more.

never less than n

If one of the numbers is negative, but the other is positive, then the product is negative - and therefore smaller than both numbers in the question. For example, 2 x -4 = -8. ===================================== Another contributor added: Also, whenever the absolute magnitude of both factors is less than ' 1 ', the absolute magnitude of the product is less than either factor.

No, there are a lot of exceptions to that statement.(1/2) times (1/4) = 1/8 (less than 1/2 and less than 1/4)(5) times (-1) = -5 (less than 5 and less than -1)

If the two numbers have no prime factors in common, their LCM will be their product. If there are prime factors in common, their LCM will be less than their product.

The product of the prime numbers less than 100 is 2.3055679639455188e+36

If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.

No. The product of two negative numbers is positive.

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