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Number Theory Level 1

What is the product of all integers ?


The answer is 0.

Shriniketan Ruppa by Shriniketan Ruppa , 15, India

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4 solutions

As 0 0 is one of the integers, T h e p r o d u c t m u s t b e 0 \boxed{\mathbf{{\color{#20A900}The \: product \: must \: be \: 0}}}

1 Helpful 1 Interesting 1 Brilliant 0 Confused

The product of all integers is 0 \fbox 0 as:

0 ∗ x = 0 0 * x = 0 - no matter how big x x is.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Mahdi Raza
Jun 25, 2020

The set of integers also includes a 0. And anything multiplied gives 0 \boxed{0}

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Shriniketan Ruppa
Jun 25, 2020

Anything multiplied with zero is always zero. So, the answer is ZERO.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

The product of all integers is not defined , since 0 × ∞ 0\times \infty is not defined.

A Former Brilliant Member - 11 months, 3 weeks ago

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