Question

What is the prime factorizarion for 500​

Answer 1

2^2 x 5^3{2 to the power of 2[2 x 2=(4)] x 5 to the power of 3[5 x 5 x 5=(125)]}

Explanation:

500

/ \

2 250

{Choose a factor pair that multiplies to get 500}

/ \

2 125

{If the number is even, split it up into 2 factor pairs=*}

/ \

5 25

{*}

/ \

5 5{Once both numbers are odd, stop splitting them.}

The numbers I had both underlined & italicized should be multiplied. 2 x 2 is the same as 2^2, as 5 x 5 x 5 is basically 5^3,=. 2^2 x 5^3 = 500, just as 250 x 2 = 500.

Answer 2

2 exponents (2) times 5 exponents (3)

Explanation:

To find the prime factors you start by dividing the number by the first prime number which is 2 if there is not a remainder meaning you can divide evenly anymore write down how many 2's you were able to divide by evenly now try dividing by the the next prime factor which is 3 the goal is to get to a quotient of 1