195616

This problem has been exceptionally challenging, it has taken me 2 weeks non-stop to complete this live problem with a total of 7 attempts including the finished product. First I started guessing with the factors which now I realise is inefficient and time-consuming if it wasn’t for the help of Julie Powell I would have continued and it would have potentially taken me longer to finish this problem. Julie taught me the importance of factor trees, which sped up the process much faster. I also had times when there were multiple options so I would revert to the definite ones. I then considered squares that overlapped as they limited potential options, it was in them that I began to find my solution. The smaller prime numbers such as 3 were really helpful because they only had one option of 1 ✖ 1 ✖ 3. I also realised that the products that had 5 in them would have to have a factor of 5 otherwise it would be impossible to make that product.
Once again, I would like to thank Julie Powell for the few hints and suggestions along the way.