We can draw a factor tree for 352 like this:
color(white)(0000)352
color(white)(000)"/"color(white)(000)"\"
color(white)(00)2color(white)(0000)176
color(white)(000000)"/"color(white)(000)"\"
color(white)(00000)2color(white)(0000)88
color(white)(000000000)"/"color(white)(00)"\"
color(white)(00000000)2color(white)(000)44
color(white)(00000000000)"/"color(white)(00)"\"
color(white)(0000000000)2color(white)(000)22
color(white)(0000000000000)"/"color(white)(00)"\"
color(white)(000000000000)2color(white)(000)11
We notice that 352 ends with an even digit, so can be divided by 2 to give 176. Then 176 is even again, etc. Finally we get to 11 which is a prime number.
So the prime factorisation of 352 is:
352 = 2^5*11
We can list all positive integer factors of 352 by listing all of the powers of 2 from 2^0 = 1 up to 2^5 = 32 and the same multiplied by 11:
1, 2, 4, 8, 16, 32, 11, 22, 44, 88, 176, 352
or in ascending order:
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
