Prime Factorization of 126

"Prime Factorization" Calculator

What is the Prime Factorization of 126?

Answer

Prime Factors of 126:

2, 3, 3, 7

126 = 2 × 3² × 7 · composite · 12 factors · 4 prime factors counting repeats

Division ladder

126	2
63	3
21	3
7	7
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
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
140	2² × 5 × 7

FAQ

What is the Prime Factorization of 126?

Prime Factors of 126: 2, 3, 3, 7

How many prime factors does 126 have?

Number 126 has 4 prime factors counting repeats; 3 different: 2, 3 and 7.

What is the Prime Factorization of 126 in exponential form?

The Prime Factorization of the number 126 in the exponential form is: 2 × 3² × 7