Problem Solving with Factors and Multiples

[SAStevens31]

Hi I have this maths puzzle and I would love input, not mention I really need help/understanding!

You have a number grid with 1-100:


1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90
91 92 93 94 95 96 97 98 99 100

Each number can be crossed out only once.
The first player chooses and crosses out one even number less than 50.
The second player then crosses out one number that is either a factor or a multiple of the first
player’s number.
Then the first player crosses out one number that is either a factor or a multiple of the most recent
number crossed out by their opponent.
… and so on, in turn, until it is no longer possible to play.
The first player who is unable to move loses the game.

What is the strategy to win?

 

[daon2]

If one player can force the other player to choose 1, then the move after this wins the game by choosing any prime larger than 50.

 

[SAStevens31]

If one player can force the other player to choose 1, then the move after this wins the game by choosing any prime larger than 50.

so the only way to get the player to choose one would be through a process of elimination until the chance arrises?

 

[SAStevens31]

so the only way to get the player to choose one would be through a process of elimination until the chance arrises?

and THANKYOU for your clear analysis