General :: Save Each Line From Textfile As New File?

just started with Linux and I'm trying to create new files for each line of my input file. So I have file with 637 lines of data:

2 4 6
2 8 5
3 0 5
etc

and want to create a new file from each line. With

cat name.txt | awk '{ line = $0
print line
}'

I nicely see all lines, but what rests is to save each line separately into new file. I tried While read line command in combination with output >> $.txt, but didn't work well..