Question

why is the product of any two consecutive numbers even?

Answer 1

Because one of them is always going to be an even number, and an even number times anything is always even

Answer 2

And if you want to know why that is, I can attempt to explain that too

Answer 3

Can you explain a little more?

Answer 4

2X3=6
3x4=12
4x5=20

Answer 5

Every even number can be written as 2 * some number

Answer 6

For example, 6=2*3. 50=2*25. And so on. When you are able to split a number into two equal parts (integers only), then it is an even number

Answer 7

By definition, a number is called even if it is divisible by 2

Since you're taking product of two consecutive numbers, one of them would be a multiple of 2 for sure

Answer 8

So if you looked at two consecutive numbers, it can be 9*10 for example. 9*10=9*5*2=45*2

Answer 9

And by definition, the number that results from 45*2 is divisible by 2 (90)

Answer 10

oh wow, it makes more sense now. Thank you!

Answer 11

No problem!