The following number can be the sum of the two prime numbers. Fill in the brackets 46＝（ ）＋（ ）＝（ ）＋（ ） 28＝（ ）＋（ ）＝（ ）＋（ ） 30＝（ ）＋（ ）＝（ ）＋（ ）

The following number can be the sum of the two prime numbers. Fill in the brackets 46＝（ ）＋（ ）＝（ ）＋（ ） 28＝（ ）＋（ ）＝（ ）＋（ ） 30＝（ ）＋（ ）＝（ ）＋（ ）

46＝（ 43）＋（3 ）＝（ 41）＋（ 5）
28＝（ 23）＋（ 5）＝（ 17）＋（11 ）
30＝（ 23）＋（7 ）＝（ 17）＋（13 ）

1. Fill in the proper prime number 15 = () × () 36 = () × () × () 105 = () × () × ()
2. Divide a rectangular land 64 meters long and 56 meters wide into several small squares with equal area (there is no land left). What is the maximum area of the small square land?

Solution 1 consists of 15 = (3) × (5) 36 = (2) × (3) × (2) × (3) 105 = (3) × (7) × (5)
It is divided into several small squares of equal area by a rectangular land with a length of 64 meters and a width of 56 meters
Note that 64 = 8 m × 8 m, 56 M = 7 m × 8 M
The maximum side length of a small square is 8 meters
The maximum area of a small square is 8 × 8 = 64 square meters

36 = () + () = () + () 84 = () + () = () + () fill in the brackets with the appropriate prime number

36=(5 )+( 31)=(7 )+(29 )
84=(37)+( 47)=( 13)+( 71)
Prime numbers within 100: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97 (25 in total)