To find the prime factorization of 225, you can break it down into its prime factors:
Start by dividing 225 by the smallest Prime number, which is 3:
225
÷
3
=
75
225÷3=75
Divide 75 by 3 again:
75
÷
3
=
25
75÷3=25
Next, divide 25 by the next smallest prime number, which is 5:
25
÷
5
=
5
25÷5=5
Finally, divide 5 by 5:
5
÷
5
=
1
5÷5=1
So, the prime factorization of 225 is:
225
=
3
2
×
5
2
225=3
2
×5
2
225 = 32 x 52
32 x 52 = 225
3^2 x 5^2
In exponents: 32*52 = 225
In this case because you are using prime factorization you need to express it using multiplication. 5*5*3*3 = 225 all the products are prime numbers.
225 prime factors are 32 and 52
225 = 32 x 52
32 x 52 = 225
5*5*3*3
3^2 x 5^2
In exponents: 32*52 = 225
32 x 52 = 225
In this case because you are using prime factorization you need to express it using multiplication. 5*5*3*3 = 225 all the products are prime numbers.
32 x 52 = 225
225 = 32 x 52
2 x 52 x 7 = 350
Prime factors of 225=3x3x5x5.