Factors of 1225

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What are the Factors of 1,225?

Answer

Factors of 1,225:
1, 5, 7, 25, 35, 49, 175, 245, 1225

9 factors · 1225 = 52 × 72 · composite

Underlined — prime: 5, 7 · 1 — neither prime nor composite · others — composite

Factor pairs of 1,225

  • 1 × 1225
  • 5 × 245
  • 7 × 175
  • 25 × 49
  • 35 × 35

35 × 35 is a pair of one factor — that is why 1225 has an odd number of factors, 9.

1225 = 52 × 72 → (2 + 1) × (2 + 1) = 9 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1,1551, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155
1,1601, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
1,1651, 5, 233, 1165
1,1671, 3, 389, 1167
1,1701, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170
1,1751, 5, 25, 47, 235, 1175
1,1801, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180
1,1851, 3, 5, 15, 79, 237, 395, 1185
1,1901, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190
1,1951, 5, 239, 1195
1,2001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
1,2051, 5, 241, 1205
1,2101, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210
1,2151, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
1,2201, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220
1,2251, 5, 7, 25, 35, 49, 175, 245, 1225
1,2301, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230
1,2351, 5, 13, 19, 65, 95, 247, 1235
1,2401, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240
1,2451, 3, 5, 15, 83, 249, 415, 1245
1,2501, 2, 5, 10, 25, 50, 125, 250, 625, 1250
1,2551, 5, 251, 1255
1,2601, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
1,2651, 5, 11, 23, 55, 115, 253, 1265
1,2701, 2, 5, 10, 127, 254, 635, 1270
1,2751, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
1,2801, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280
1,2841, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
1,2851, 5, 257, 1285
1,2871, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287

FAQ

What are the Factors of 1,225?

Factors of 1,225: 1, 5, 7, 25, 35, 49, 175, 245, 1225

How many factors does 1,225 have?

Number 1,225 has 9 factors

How many Factor Pairs does 1,225 have?

Number 1,225 has 5 factor pairs

Is 1,225 a prime or composite number?

Composite: 1225 = 5² × 7², so it has 9 factors — a prime has exactly two.

How many factors does 1,225 have excluding 1 and 1,225?

7: 5, 7, 25, 35, 49, 175 and 245.

Why does 1,225 have an odd number of factors?

1,225 is a perfect square: in the pair 35 × 35 the factor 35 pairs with itself, so the 9 factors are 4 pairs plus 35.

See Also