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Product of two consecutive even numbers

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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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