Product of two consecutive even numbers

Product of two consecutive even numbers :

Even numbers are 2,4,6,8,10,12,14,16,18,20,22........

Even number means when we divide a number with 2,then the remainder is equal to zero.

Difference between the two even numbers is 1.

Now we will discuss the product of two even numbers. Now the product of two even numbers assumed to be 4x6 can be written as (5-1)x(5+1).

                             4x6= (5-1)x(5+1)

From the above we write general formula as 4x6= (5-1)x(5+1)=5²-1²  =25-1=24

Now we can observe the result as one less than the square number. So now we can observe the following table. Column 1&2 reprecent the adjacent even numbers. Column 3 represent the product of two adjacent even numbers. Column 4 represent  the nearest square number. This  will arrive by adding 1 to the product  of two even numbers.

NUMBER1	NUMBER2	PRODUCT	NEAREST SQUARE NO.
2	4	8	9
4	6	24	25
6	8	48	49
8	10	80	81
10	12	120	121
12	14	168	169
14	16	224	225
16	18	288	289
18	20	360	361
20	22	440	441
22	24	528	529
24	26	624	625
26	28	728	729
28	30	840	841
30	32	960	961
32	34	1088	1089
34	36	1224	1225
36	38	1368	1369
38	40	1520	1521
40	42	1680	1681
42	44	1848	1849
44	46	2024	2025
46	48	2208	2209
48	50	2400	2401
50	52	2600	2601
52	54	2808	2809

Now we will see how to solve the problems based on the product two consecutive even numbers.

Problem 1:product of two consecutive even numbers is 360. What are those numbers.

Solution: step1: product of two consecutive even numbers is 360

                  Step2: add 1 to 361 it will become 361

                 Step3: finding the square root of 361 that is 19

                 Step4:then add 1 to 19, and subtract 1 from 19.

                 Step5: then those numbers are 18,20

Problem2:product of two consecutive even numbers is 224. What are those numbers.

Solution: step1: product of two consecutive even numbers is 224

                  Step2: add 1 to 224 it will become 225

                 Step3: finding the square root of 225 that is 15

                 Step4:then add 1 to 15, and subtract 1 from 15.

                 Step5: then those numbers are 14,16.

Problem 3:product of two consecutive even numbers is 288. What are those numbers.

Solution: step1: product of two consecutive even numbers is 288

                  Step2: add 1 to 288 it will become 289

                 Step3: finding the square root of 289 that is 17

                 Step4:then add 1 to 17, and subtract 1 from 17.

                 Step5: then those numbers are 16,18

Problem 4:product of two consecutive even numbers is 188. What are those numbers.

Solution: step1: product of two consecutive even numbers is 188

                  Step2: add 1 to 188 it will become 189

                 Step3: finding the square root of 189 that is 17

                 Step4:then add 1 to 17, and subtract 1 from 17.

                 Step5: then those numbers are 16,18.

Problem 5:product of two consecutive even numbers is 624. What are those numbers.

Solution: step1: product of two consecutive even numbers is 624

                  Step2: add 1 to 624 it will become 625

                 Step3: finding the square root of 625 that is 25

                 Step4:then add 1 to 25, and subtract 1 from 25.

                 Step5: then those numbers are 24,26.

Problem 6:product of two consecutive even numbers is 1088. What are those numbers.

Solution: step1: product of two consecutive even numbers is 1088.

                  Step2: add 1 to 1088 it will become 1089

                 Step3: finding the square root of 1089 that is 33

                 Step4:then add 1 to 33, and subtract 1 from 33.

                 Step5: then those numbers are 32,34.

Problem 7:product of two consecutive even integers  is 440. What are those numbers.

Solution: step1: product of two consecutive even numbers is 440.

                  Step2: add 1 to 440 it will become 441

                 Step3: finding the square root of 441 that is 21

                 Step4:then add 1 to 21, and subtract 1 from 21.

                 Step5: then those numbers are 20,22.

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