Question 105805
Prime Factorization is finding the prime numbers you need to multiply together to get your number. 
Prime numbers are numbers that are divisible only by one and themselves. 
Let start. 
Look at the factors of 16.
2x8=16
Then break down those factors until you only have primes left. 
8 can be further factored to 8=2x4 and 4=2x2. 
Since 2 is a prime number, you can't factor any more. 
Put all of those factors together to get
{{{16=2*8}}}
{{{16=2*(2*4)}}}
{{{16=2*(2*(2*2))}}}
{{{16=2*2*2*2*2=2^5}}}
Now for 35. 
{{{35=5*7}}} (5,7 prime numbers)
Now for 50.
{{{50=5*10}}} (10=2x5) 
{{{50=2*5*5=2*5^2}}} (2,5 prime numbers)
Now for 144.
{{{144=2*72}}} (72=2x36, 36=4x9, 4=2x2, 9=3x3)
{{{144=2*2*2*2*3*3=2^4*3^2}}}
Now for 136.
{{{136=2*68}}} (68=2x34, 34=2x17)
{{{136=2*2*2*17=2^3*17}}}
Now for 90.
{{{90=9*10}}} (9=3x3, 10=2x5)
{{{90=2*3*3*5=2*3^2*5}}}
Now for 320.
{{{320=32*10}}} (32=4x8, 4=2x2, 8=2x2x2, 10=2x5)
{{{320=2*2*2*2*2*2*5=2^(6)*5}}}