# Is 25 a multiple of 2 or 5? How do you know?

Dec 20, 2016

$25$ is a multiple of $5$. See Below for Explanation:
Also any multiple of $2$ would be even but $25$ is odd so $2$ can not be a factor of $25$.

#### Explanation:

Simply list out the multiples of $2$ and $5$ first. See below:

Multiples of $5$ include: $5$, $10$, $15$, $20$, $25$, $30$, $35$, and etc.

Multiples of $2$ Include: $2$, $4$, $6$, $8$, $10$, $12$, $14$, $16$, $18$, $20$, $22$, $24$, $26$ and etc.

As we can see, the multiples of $2$ skip the number $25$ so we can immediately assume that $25$ is not a multiple of $2$. Therefore it must be a multiple of $5$.

And this makes sense right?

$5 + 5 + 5 + 5 + 5 = 25$.

${5}^{2} = 25$.

$5 \cdot 5 = 25$.

Whatever way you want to think about it works.

Answer: $5$
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Foot note:

Any multiple of 2 is even. However 25 is odd so it can not be a multiple of 2.

Jun 13, 2017

From the last digit.

#### Explanation:

1. If the last digit is 0 or 5 then the number is divisible by 5.
2. if the last digit is 0,2,4,6,8 then the number is divisible by 2.

From 1 and 2 :

25 has last digit 5

=> 25 is divisible by 5

Jun 14, 2017

$25$ is a multiple of only $5$, not $2$ but see below for a better explanation.

#### Explanation:

Multiples of 5 always end with a $5$ or a $0$ and multiples of 2 always end with a even number or $0$.

Since $25$ ends with $5$, it 25 is a multiple of 5!

My source is my mind.

I hope that helps you!

-Moksha