Prime Factorization of 125

"Prime Factorization" Calculator

What is the prime factorization of 125?

Answer

Prime Factors of 125:

5, 5, 5

125 = 5³ · composite · 4 factors · 3 prime factors counting repeats

Division ladder

125	5
25	5
5	5
1

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

Second way — factor tree

Related Calculations

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
110	2, 5, 11
111	3, 37
112	2⁴ × 7
113	113
114	2, 3, 19
115	5, 23
116	2² × 29
117	3² × 13
118	2, 59
119	7, 17
120	2³ × 3 × 5
121	11²
122	2, 61
123	3, 41
124	2² × 31
125	5³
126	2 × 3² × 7
127	127
128	2⁷
129	3, 43
130	2, 5, 13
131	131
132	2² × 3 × 11
133	7, 19
134	2, 67
135	3³ × 5
136	2³ × 17
137	137
138	2, 3, 23
139	139

FAQ

What is the prime factorization of 125?

Prime Factors of 125: 5, 5, 5

How many prime factors does 125 have?

Number 125 has 3 prime factors counting repeats; 1 different: 5.

What is the prime factorization of 125 in exponential form?

The prime factorization of the number 125 in the exponential form is: 5³