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The smallest positive number is 1. Since every positive number multiplied by 1 is the number itself as a product, then the product is neither less than 1 nor less that positive number. We can say the same for all the products of all other positive numbers.

However, we can prove it:

Let n, m > 0. Let suppose that nm < n or nm < m. So,

nm < n divide by m to both sides;

n < n/m is not true

nm < m divide by n to both sides;

m < m/n is not true

Thus, the product of two positive numbers is always bigger than its factors.

Q: Can the product of two positive numbers be less than either number?

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because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.

In mathematics, the term "product" refers to the result of multiplying two or more numbers together. When you see the phrase "product is plus or minus," it typically means that the result of the multiplication can be either positive or negative, depending on the signs of the numbers being multiplied. For example, when you multiply a positive number by a positive number, the product is positive. When you multiply a negative number by a negative number, the product is also positive.

The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.

Yes because the product of each pair of negative numbers must be positive.

No. A mixed number must be greater than 1, and two numbers that are greater than one that are multiplied together end up being greater that either number by itself.

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because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.

In mathematics, the term "product" refers to the result of multiplying two or more numbers together. When you see the phrase "product is plus or minus," it typically means that the result of the multiplication can be either positive or negative, depending on the signs of the numbers being multiplied. For example, when you multiply a positive number by a positive number, the product is positive. When you multiply a negative number by a negative number, the product is also positive.

False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.False. Either the product or the quotient of two negative numbers is positive.

It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.

The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.

The product of all those numbers will always be a negative number.

negative

No, the rule for multiplication is much easier than that. If the two numbers have the same sign, then their product is positive. If they have different signs, then their product is negative.

The product of two positive numbers or two negative numbers is a positive number.

positive

A positive number.

(The product of 33 negative numbers) x (2 positive numbers) = (negative sign) x (positive sign) = negative sign