What is the prime factorization of 800?

Question

Aurora Arias · Accepted Answer

#800 = 2xx2xx2xx2xx2xx5xx5= 2^5xx 5^2#

Start with any 2 factors of #800# and then break each down until you only have prime numbers as factors.

#800 = color(red)(8)xxcolor(blue)(100)#

#800 = color(red)(2xx4)xxcolor(blue)(10xx10)#

#800 = color(red)(2xx2xx2)xxcolor(blue)(2xx5xx2xx5)#

#800 =2xx2xx2xx2xx2xx5xx5#

"The ladder method" is another option.

Only divide by prime numbers until you get to #1# You can divide in any order, but it is usually easier to divide any even number by 2 first

#2 |ul(800)# #2 |ul(400)# #2 |ul(200)# #2 |ul(100)# #2 |ul(50)# #5 |ul(25)# #5 |ul(5)# #. |ul(1)#

#800 = 2xx2xx2xx2xx2xx5xx5= 2^5xx 5^2#

The result will always be the same regardless of the strategy you employ, the initial factors you choose, or the division order you choose.

#20xx40 = 2^5 xx 5^2#

#16 xx50 = 2^5 xx 5^2#

Noah Archer · Answer

#2^5" , "5^2# #800 = 8xx100# #8" "=" "2xx4" " =" " 2xx2xx2" " =" " 2^3# #100" "=" "10xx10" " =" " 2xx5xx2xx5" " =" " 2^2xx5^2# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Putting it all together")# #2^3xx2^2xx5^2# #2^5xx5^2#

Zoe Adams · Answer

undefined The prime factorization of 800 is 2^6 * 5^2.

Cameron Arnold · Answer

undefined The prime factorization of 800 is:

$$800 = 2^6 \times 5^2$$

Genesis Amaya · Answer

undefined The prime factorization of 800 is 2^6 × 5^2.