Prime Factorization of 112

"Prime Factorization" Calculator

What is the Prime Factorization of 112?

Answer

Prime Factors of 112:

2, 2, 2, 2, 7

112 = 2⁴ × 7 · composite · 10 factors · 5 prime factors counting repeats

Division ladder

112	2
56	2
28	2
14	2
7	7
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
97	97
98	2 × 7²
99	3² × 11
100	2² × 5²
101	101
102	2, 3, 17
103	103
104	2³ × 13
105	3, 5, 7
106	2, 53
107	107
108	2² × 3³
109	109
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

FAQ

What is the Prime Factorization of 112?

Prime Factors of 112: 2, 2, 2, 2, 7

How many prime factors does 112 have?

Number 112 has 5 prime factors counting repeats; 2 different: 2 and 7.

What is the Prime Factorization of 112 in exponential form?

The Prime Factorization of the number 112 in the exponential form is: 2⁴ × 7