Factors of 150

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What are the Factors of 150?

Answer

Factors of 150:
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

12 factors · 150 = 2 × 3 × 52 · composite

Underlined — prime: 2, 3, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 150

√150 ≈ 12.2512356101525305075150

6 pairs: 1 × 150 · 2 × 75 · 3 × 50 · 5 × 30 · 6 × 25 · 10 × 15

Past √150 ≈ 12.25 every pair would repeat one already found — so checking stops at 12.

150 = 2 × 3 × 52 → (1 + 1) × (1 + 1) × (2 + 1) = 12 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1351, 3, 5, 9, 15, 27, 45, 135
1361, 2, 4, 8, 17, 34, 68, 136
1371, 137
1381, 2, 3, 6, 23, 46, 69, 138
1391, 139
1401, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1411, 3, 47, 141
1421, 2, 71, 142
1431, 11, 13, 143
1441, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1451, 5, 29, 145
1461, 2, 73, 146
1471, 3, 7, 21, 49, 147
1481, 2, 4, 37, 74, 148
1491, 149
1501, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1511, 151
1521, 2, 4, 8, 19, 38, 76, 152
1531, 3, 9, 17, 51, 153
1541, 2, 7, 11, 14, 22, 77, 154
1551, 5, 31, 155
1561, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1571, 157
1581, 2, 79, 158
1591, 3, 53, 159
1601, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1611, 7, 23, 161
1621, 2, 3, 6, 9, 18, 27, 54, 81, 162
1631, 163
1641, 2, 4, 41, 82, 164

FAQ

What are the Factors of 150?

Factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

How many factors does 150 have?

Number 150 has 12 factors

How many Factor Pairs does 150 have?

Number 150 has 6 factor pairs

Is 150 a prime or composite number?

Composite: 150 = 2 × 3 × 5², so it has 12 factors — a prime has exactly two.

How many factors does 150 have excluding 1 and 150?

10: 2, 3, 5, 6, 10, 15, 25, 30, 50 and 75.

See Also