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Bunuel
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What is the least integer that can be expressed as a product of four 23 Nov 2022, 09:00
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45% (medium)

Question Stats:

66% (01:26) correct 34% (01:43) wrong based on 326 sessions

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What is the least integer that can be expressed as a product of four different integers, each of which has a value between -5 and 4, inclusive?

A. –60
B. –120
C. –180
D. –240
E. –500
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D
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What is the least integer that can be expressed as a product of four 23 Nov 2022, 23:13
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Bunuel
What is the least integer that can be expressed as a product of four different integers, each of which has a value between -5 and 4, inclusive?

A. –60
B. –120
C. –180
D. –240
E. –500
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Available Numbers = -5, -4, -3, -2, -1, 0, 1, 2, 3, 4

We need the least possible value, so we have to take the least available value in conjunction with other values.

Let's take -5

The next two values that will give the highest magnitude when multiplied is -4 * 4

Now, -5 * -4 * 4 is a positive value, so let's take the next least value is -3

So net product = -5 * -4 * -3 * 4 = -240

Option D
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What is the least integer that can be expressed as a product of four 11 Oct 2024, 06:22
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i dont understand why -5 * 4 * 3 * 1 = -60 is not the answer
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What is the least integer that can be expressed as a product of four 11 Oct 2024, 06:28
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kubrah
What is the least integer that can be expressed as a product of four different integers, each of which has a value between -5 and 4, inclusive?

A. –60
B. –120
C. –180
D. –240
E. –500

i dont understand why -5 * 4 * 3 * 1 = -60 is not the answer
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Because -240 is smaller than -60, and the question asks for the least integer we can get.
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What is the least integer that can be expressed as a product of four 11 Oct 2024, 07:07
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Bunuel
kubrah
What is the least integer that can be expressed as a product of four different integers, each of which has a value between -5 and 4, inclusive?

A. –60
B. –120
C. –180
D. –240
E. –500

i dont understand why -5 * 4 * 3 * 1 = -60 is not the answer

Because -240 is smaller than -60, and the question asks for the least integer we can get.
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Thank you...too early in the morning for me..

Posted from my mobile device
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What is the least integer that can be expressed as a product of four 10 Feb 2026, 06:38
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Deconstructing the Question
We need the least (most negative) integer that can be written as the product of 4 different integers, each between -5 and 4, inclusive.

Step-by-step
To get the least value, the product should be negative and have the largest possible magnitude.

Choose:
\(-5,\ -4,\ -3,\ 4\)

Product:
\((-5)(-4)(-3)(4)\)
\((-5)(-4)=20\)
\(20(-3)=-60\)
\(-60(4)=-240\)

This uses the largest possible absolute values while keeping an odd number of negatives, so it is the minimum.

Answer: -240 (D)
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