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

(number 150 has 12 factors)

Factor Pairs of 150

A Factor Pair of number 150 is a combination of two factors which can be multiplied together to equal 150.

List of all possible Factor Pairs of 150:

  • 1 × 150 = 150
  • 2 × 75 = 150
  • 3 × 50 = 150
  • 5 × 30 = 150
  • 6 × 25 = 150
  • 10 × 15 = 150

How to find the Factors of 150

Divide 150 by every whole number from 1 up to 12. Each division without a remainder gives a factor and its pair. There is no point going further: 13 × 13 = 169 is already greater than 150, so any larger divisor would pair with a smaller one you have already checked.

  • 150 ÷ 1 = 150 — factors 1 and 150
  • 150 ÷ 2 = 75 — factors 2 and 75
  • 150 ÷ 3 = 50 — factors 3 and 50
  • 150 ÷ 4 — remainder 2, not a factor
  • 150 ÷ 5 = 30 — factors 5 and 30
  • 150 ÷ 6 = 25 — factors 6 and 25
  • 150 ÷ 7 — remainder 3, not a factor
  • 150 ÷ 8 — remainder 6, not a factor
  • 150 ÷ 9 — remainder 6, not a factor
  • 150 ÷ 10 = 15 — factors 10 and 15
  • 150 ÷ 11 — remainder 7, not a factor
  • 150 ÷ 12 — remainder 6, not a factor

Why 150 has exactly 12 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.

150 = 2 × 3 × 52

(1 + 1) × (1 + 1) × (2 + 1) = 12

Step-by-step factorization: Prime factors of 150.

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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 150? (The answer is: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150). Pick the number (e.g. '150'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
"Factors of a Number" Calculator
Factors of

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

See Also