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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.

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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.

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Q: Can the product of two numbers 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

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.

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 any numbers greater one is greater than either.

The statement is false. if any or both of numbers are less than 1, the product is less than the greater (or both) of the numbers. Eg. 1/2 x 1/3 = 1/6 ; 1/6 < 1/2 and 1/6 < 1/3

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.

If the GCF of the two numbers is 1, the LCM will be their product. IF the GCF is greater than one, the LCM will be less than the product.

No. Their product is always greater than 0.

If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.

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