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Lunna [17]
3 years ago
10

The product of two even numbers is always divisible by 4 true or false

Mathematics
1 answer:
never [62]3 years ago
7 0

Answer: TRUE

<u>Step-by-step explanation:</u>

an even number is divisible by 2.  

Consider even number j which equals 2a and even number k which equals 2b.  Then the product of these two numbers (j and k) = 2a*2b = 4ab.

4ab is divisible by 4.

BONUS:

The product of three even numbers is divisible by 2³

The product of four even numbers is divisible by 2⁴

The product of five even numbers is divisible by 2⁵

do you see the pattern?

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So this has to do with permutations and honestly I need an explanation on how I can figure these out.
AnnZ [28]
Well, the answer quite simple ....there are 4! ways to arrange these numbers...and as 4! = 4*3*2*1 = 24

hence 24 is the correct answer....


u can also remember it by theorem of multiplication as.....in first place (I.e. first code can be any no. out of 4,5,2&7 ....so 4*.....

as first place is acquired by a certain no. that leaves three no. to fill third place and when third place I'd occupied it leaves 2 numbers to fill second place and lastly only one no. to fill the last place .....so it's result will be like 4*3*2*1.



I know this is pretty much confusing ....but still I tried my best....

if anything troubles u here feel free to ask me
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