Prime Factorization of 138

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Prime Factors of

What is the prime factorization of 138?

Answer

Prime Factors of 138:
2, 3, 23

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

Division ladder

1382
693
2323
1

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

Second way — factor tree
138269323

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Recalculate with different values ↑

Prime Factorization Table

NumberPrime Factors
1233, 41
12422 × 31
12553
1262 × 32 × 7
127127
12827
1293, 43
1302, 5, 13
131131
13222 × 3 × 11
1337, 19
1342, 67
13533 × 5
13623 × 17
137137
1382, 3, 23
139139
14022 × 5 × 7
1413, 47
1422, 71
14311, 13
14424 × 32
1455, 29
1462, 73
1473 × 72
14822 × 37
149149
1502 × 3 × 52
151151
15223 × 19

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.

See Also