Question

What is the prime factorization of a 150? F) 2×2×25. G) 2×3×5×5 H) 5×30. J) 2×3×5

Answer 1

The answer is G.

Explanation:

`2xx3xx5xx5`

`= 6 xx 5 xx 5`

`= 6 xx 25`

`= 150`

Therefore,

`150 = 2xx3xx5xx5`

Answer 2

`2xx3xx5xx5toG`

Explanation:

`"using the prime numbers "2,3,5,7,...`

`• " divide the number by 2"`

`• " if the quotient is 1 then finish"`

`• " if not repeat "`

`• " if 2 does not divide move onto 3"`

`• " repeat until a quotient of 1 is reached"`

`150-:color(red)(2)=75larrcolor(blue)"move to 3"`

`>75-:color(red)(3)=25larrcolor(blue)"move to 5"`

`25-:color(red)(5)=5larrcolor(blue)"repeat with 5"`

`5-:color(red)(5)=1larrcolor(blue)"quotient of 1 reached"`

`150=color(red)(2)xxcolor(red)(3)xxcolor(red)(5)xxcolor(red)(5)toG`