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Prime Factorization of 138

"Prime Factorization" Calculator

What is the Prime Factorization of 138?

Answer

Prime Factors of 138:

2, 3, 23

138 = 2 × 3 × 23 · composite · 8 factors

Division ladder

138	2
69	3
23	23
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

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Prime factors of 138. Prime factorization of 138: 2 × 3 × 23. Break down any number into a product of prime factors online.

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Prime Factorization Table

Number	Prime Factors
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
141	3, 47
142	2, 71
143	11, 13
144	2⁴ × 3²
145	5, 29
146	2, 73
147	3 × 7²
148	2² × 37
149	149
150	2 × 3 × 5²
151	151
152	2³ × 19

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FAQ

What is the Prime Factorization of 138?

Prime Factors of 138: 2, 3, 23

How many prime factors does 138 have?

Number 138 has 3 prime factors, all different.

How can you check the prime factorization of 138?

Multiply the factors back together: 2 × 3 × 23 = 138. Every factor is prime, so nothing splits any further and this decomposition is the only one that exists.