Prime Factorization of 200

"Prime Factorization" Calculator

What is the Prime Factorization of 200?

Answer

Prime Factors of 200:

2, 2, 2, 5, 5

200 = 2³ × 5² · composite · 12 factors · 5 prime factors counting repeats

Division ladder

200	2
100	2
50	2
25	5
5	5
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

Second way — factor tree

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See Also

Factors of a Number - List all Factors and Factor Pairs of a Number
Prime Number Checker - Find out whether a given number is Prime or not
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

Recalculate with different values ↑

Prime Factorization Table

Number	Prime Factors
185	5, 37
186	2, 3, 31
187	11, 17
188	2² × 47
189	3³ × 7
190	2, 5, 19
191	191
192	2⁶ × 3
193	193
194	2, 97
195	3, 5, 13
196	2² × 7²
197	197
198	2 × 3² × 11
199	199
200	2³ × 5²
201	3, 67
202	2, 101
203	7, 29
204	2² × 3 × 17
205	5, 41
206	2, 103
207	3² × 23
208	2⁴ × 13
209	11, 19
210	2, 3, 5, 7
211	211
212	2² × 53
213	3, 71
214	2, 107

FAQ

What is the Prime Factorization of 200?

Prime Factors of 200: 2, 2, 2, 5, 5

How many prime factors does 200 have?

Number 200 has 5 prime factors counting repeats; 2 different: 2 and 5.

What is the Prime Factorization of 200 in exponential form?

The Prime Factorization of the number 200 in the exponential form is: 2³ × 5²