Factors of 225

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What are the Factors of 225?

Answer

Factors of 225:
1, 3, 5, 9, 15, 25, 45, 75, 225

9 factors · 225 = 32 × 52 · composite

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

Factor pairs of 225

√225 = 15135915254575225

5 pairs: 1 × 225 · 3 × 75 · 5 × 45 · 9 × 25 · 15 × 15

15 × 15 is a pair of one factor — that is why 225 has an odd number of factors, 9.

225 = 32 × 52 → (2 + 1) × (2 + 1) = 9 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
2101, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
2111, 211
2121, 2, 4, 53, 106, 212
2131, 3, 71, 213
2141, 2, 107, 214
2151, 5, 43, 215
2161, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
2171, 7, 31, 217
2181, 2, 109, 218
2191, 3, 73, 219
2201, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
2211, 13, 17, 221
2221, 2, 3, 6, 37, 74, 111, 222
2231, 223
2241, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
2251, 3, 5, 9, 15, 25, 45, 75, 225
2261, 2, 113, 226
2271, 227
2281, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
2291, 229
2301, 2, 5, 10, 23, 46, 115, 230
2311, 3, 7, 11, 21, 33, 77, 231
2321, 2, 4, 8, 29, 58, 116, 232
2331, 233
2341, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
2351, 5, 47, 235
2361, 2, 4, 59, 118, 236
2371, 3, 79, 237
2381, 2, 7, 14, 17, 34, 119, 238
2391, 239

FAQ

What are the Factors of 225?

Factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

How many factors does 225 have?

Number 225 has 9 factors

How many Factor Pairs does 225 have?

Number 225 has 5 factor pairs

Is 225 a prime or composite number?

Composite: 225 = 3² × 5², so it has 9 factors — a prime has exactly two.

How many factors does 225 have excluding 1 and 225?

7: 3, 5, 9, 15, 25, 45 and 75.

Why does 225 have an odd number of factors?

225 is a perfect square: in the pair 15 × 15 the factor 15 pairs with itself, so the 9 factors are 4 pairs plus 15.

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