The factorization of 800 is:
1 X 800
2 X 400
4 X 200
5 X 160
8 X 100
10 X 80
16 X 50
20 X 40
25 X 32
Please don't confuse factorization with prime factorization, which is:
2 X 400
2 X 2 X 200
2 X 2 X 2 X 100
2 X 2 X 2 X 2 X 50
2 X 2 X 2 X 2 X 2 X 25
2 X 2 X 2 X 2 X 2 X 5 X 5
Factorization is finding all the factors of a number. Prime Factorization is finding all the prime factors (those which are only evenly divisible by themselves and 1).
The prime factorization is... 2x2x2x2x2x5x5
800 = 25 × 52
Prime factors in exponents: 25*52 = 800
2 * 2 * 2 * 2 * 2 * 5 * 5 = 800 = 25 * 52
25 x 52
The prime factorization of 800 is: 800 = 25 x 52 From this one can determine that 800 has the following divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, and 800.
The prime factors are: 2 x 2 x 2 x 2 x 2 x 5 x 5
800 Divide by two. 400,2 Divide by two. 200,2,2 Divide by two. 100,2,2,2 Divide by two. 50,2,2,2,2 Divide by two. 25,2,2,2,2,2 Divide by five. 5,5,2,2,2,2,2 Stop. 2 x 2 x 2 x 2 x 2 x 5 x 5 = 800
When asked for a factorization, it is generally understood to mean the prime factorization.
Factorization into its smallest factors.
Factorization of 150 = 2x3x5x5.
43 is prime; no factorization.