Factors of 33

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Factors of

What are the Factors of 33?

Answer

Factors of 33:
1, 3, 11, 33

(number 33 has 4 factors)

Factor Pairs of 33

A Factor Pair of number 33 is a combination of two factors which can be multiplied together to equal 33.

List of all possible Factor Pairs of 33:

  • 1 × 33 = 33
  • 3 × 11 = 33

How to find the Factors of 33

Divide 33 by every whole number from 1 up to 5. Each division without a remainder gives a factor and its pair. There is no point going further: 6 × 6 = 36 is already greater than 33, so any larger divisor would pair with a smaller one you have already checked.

  • 33 ÷ 1 = 33 — factors 1 and 33
  • 33 ÷ 2 — remainder 1, not a factor
  • 33 ÷ 3 = 11 — factors 3 and 11
  • 33 ÷ 4 — remainder 1, not a factor
  • 33 ÷ 5 — remainder 3, not a factor

Why 33 has exactly 4 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.

33 = 3 × 11

(1 + 1) × (1 + 1) = 4

Step-by-step factorization: Prime factors of 33.

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 33? (The answer is: 1, 3, 11, 33). Pick the number (e.g. '33'). 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
181, 2, 3, 6, 9, 18
191, 19
201, 2, 4, 5, 10, 20
211, 3, 7, 21
221, 2, 11, 22
231, 23
241, 2, 3, 4, 6, 8, 12, 24
251, 5, 25
261, 2, 13, 26
271, 3, 9, 27
281, 2, 4, 7, 14, 28
291, 29
301, 2, 3, 5, 6, 10, 15, 30
311, 31
321, 2, 4, 8, 16, 32
331, 3, 11, 33
341, 2, 17, 34
351, 5, 7, 35
361, 2, 3, 4, 6, 9, 12, 18, 36
371, 37
381, 2, 19, 38
391, 3, 13, 39
401, 2, 4, 5, 8, 10, 20, 40
411, 41
421, 2, 3, 6, 7, 14, 21, 42
431, 43
441, 2, 4, 11, 22, 44
451, 3, 5, 9, 15, 45
461, 2, 23, 46
471, 47

FAQ

What are the Factors of 33?

Factors of 33: 1, 3, 11, 33

How many factors does 33 have?

Number 33 has 4 factors

How many Factor Pairs does 33 have?

Number 33 has 2 factor pairs