What is the prime factorization of 5625?

Answer 1

625000

Since it ends in zero it will divide by '5'

Hence

5)625000=

5)125000=

5)25000

5)5000 =

5)1000 =

5)200=

5)40 =

2)8=

2)4 =

2)2 = 1

Hence there are seven lots of division by '5' and three lots of division by '2'

So its prime factors are 5^7*2^3

NB When factoring look at the suffix digit. Ut us ends in '0' or '5' it will dividie by '5'. If it ends in an even number it will divife by '2'.

Both '5' & '2' are prime numbers. You keep making the division until it will go no further by a given prime fascgtor. However, you MUST reduce the division to '1'. It creates a 'step ladder'.

Other prime numbers to test are '3' , '7' , '11', 13' et/ sea/.

Answer 2

2 to the 3rd power times 5 to the 7th power

Answer 3

The prime factorization of 5625 is 3 * 3 * 5 * 5 * 5 * 5

Answer 4

2 x 2 x 2 x 5 x 5 x 5 x 5 x 5

Answer 5

5 x 5 x 5 x 5 = 625

Answer 6

625 = 54