SOLUTION: How do you figure out the prime factorization of a number and what exactly does that mean. These are the numbers I need to find the prime factorization of. 16, 35, 50, 144, 136,

Question 105805: How do you figure out the prime factorization of a number and what exactly does that mean. These are the numbers I need to find the prime factorization of.
16, 35, 50, 144, 136, 90, 320.
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the prime factorization of.
16, 35, 50, 144, 136, 90, 320.
--------
16 = ?
Divide as many times as you can by the smallest prime, which is 2, then
the next smallest, which is 3, then the next, which is 5, then 7, then 11
etc.
--------
16^2^4
35= 5*7
50 = 2*5^2
144 = 2^4*3^2
90 = 2*3^2*5
320 = 2^6*5
============
Cheers,
Stan H.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
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

Now for 35.
(5,7 prime numbers)
Now for 50.
(10=2x5)
(2,5 prime numbers)
Now for 144.
(72=2x36, 36=4x9, 4=2x2, 9=3x3)

Now for 136.
(68=2x34, 34=2x17)

Now for 90.
(9=3x3, 10=2x5)

Now for 320.
(32=4x8, 4=2x2, 8=2x2x2, 10=2x5)

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