Factors of 189

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What are the Factors of 189?

Answer

Factors of 189:
1, 3, 7, 9, 21, 27, 63, 189

(number 189 has 8 factors)

Factor Pairs of 189

A Factor Pair of number 189 is a combination of two factors which can be multiplied together to equal 189.

List of all possible Factor Pairs of 189:

  • 1 × 189 = 189
  • 3 × 63 = 189
  • 7 × 27 = 189
  • 9 × 21 = 189

How to find the Factors of 189

Divide 189 by every whole number from 1 up to 13. Each division without a remainder gives a factor and its pair. There is no point going further: 14 × 14 = 196 is already greater than 189, so any larger divisor would pair with a smaller one you have already checked.

  • 189 ÷ 1 = 189 — factors 1 and 189
  • 189 ÷ 2 — remainder 1, not a factor
  • 189 ÷ 3 = 63 — factors 3 and 63
  • 189 ÷ 4 — remainder 1, not a factor
  • 189 ÷ 5 — remainder 4, not a factor
  • 189 ÷ 6 — remainder 3, not a factor
  • 189 ÷ 7 = 27 — factors 7 and 27
  • 189 ÷ 8 — remainder 5, not a factor
  • 189 ÷ 9 = 21 — factors 9 and 21
  • 189 ÷ 10 — remainder 9, not a factor
  • 189 ÷ 11 — remainder 2, not a factor
  • 189 ÷ 12 — remainder 9, not a factor
  • 189 ÷ 13 — remainder 7, not a factor

Why 189 has exactly 8 factors

The count follows from the prime factorization: add 1 to each exponent and multiply. Counting the divisors this way needs no trial division at all, however large the number is.

189 = 33 × 7

(3 + 1) × (1 + 1) = 8

Step-by-step factorization: Prime factors of 189.

See Also

About "Factors of a Number" Calculator

This calculator will help you find all factors of a given number. For example, it can help you find out what are the Factors of 189? (The answer is: 1, 3, 7, 9, 21, 27, 63, 189). Pick the number (e.g. '189'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
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Factors of

Factors Table

NumberFactors
1741, 2, 3, 6, 29, 58, 87, 174
1751, 5, 7, 25, 35, 175
1761, 2, 4, 8, 11, 16, 22, 44, 88, 176
1771, 3, 59, 177
1781, 2, 89, 178
1791, 179
1801, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1811, 181
1821, 2, 7, 13, 14, 26, 91, 182
1831, 3, 61, 183
1841, 2, 4, 8, 23, 46, 92, 184
1851, 5, 37, 185
1861, 2, 3, 6, 31, 62, 93, 186
1871, 11, 17, 187
1881, 2, 4, 47, 94, 188
1891, 3, 7, 9, 21, 27, 63, 189
1901, 2, 5, 10, 19, 38, 95, 190
1911, 191
1921, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1931, 193
1941, 2, 97, 194
1951, 3, 5, 13, 15, 39, 65, 195
1961, 2, 4, 7, 14, 28, 49, 98, 196
1971, 197
1981, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1991, 199
2001, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
2011, 3, 67, 201
2021, 2, 101, 202
2031, 7, 29, 203

FAQ

What are the Factors of 189?

Factors of 189: 1, 3, 7, 9, 21, 27, 63, 189

How many factors does 189 have?

Number 189 has 8 factors

How many Factor Pairs does 189 have?

Number 189 has 4 factor pairs