Can a number really be its own multiple?

Number Theory Level 1

True or False:

3 is a multiple of 3. \huge{\color{#D61F06}{3} \text{ is a multiple of } \color{#D61F06}{3}.}

True False It is undefined.

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Clara Blackstone by Clara Blackstone , 32, USA

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5 solutions

Nihar Mahajan
Oct 21, 2015

Every number is a multiple of itself. That is a × 1 = a ∀ a ∈ Z a\times 1 = a \ \forall \ a \in \mathbb{Z} .

14 Helpful 1 Interesting 0 Brilliant 2 Confused
Flávio Gomes
Nov 8, 2015

The point of this question is believing in yourself more than actually knowing the answer. So, trust your guts when you know the answer

6 Helpful 0 Interesting 0 Brilliant 0 Confused
Bibhor Singh
Apr 9, 2018

3 is a multiple of 3 as 3=3*1

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Ashish Menon
Jun 3, 2016

Every number is a multiple of itself.

1 Helpful 0 Interesting 1 Brilliant 0 Confused

3 / 3 = 1 so 3 is a multiple of 3

Mai H - 1 year ago

Quiet unconventional explanation, but when we say LCM of 3 and 6 is 3 we mean 3 is a multiple of itself right.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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