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Factors of 36 mean the integers that can split 36 into various parts. These integers can be positive and negative. For example, the biggest factor of 36 is 18, and the smallest is 2, excluding 1 and 36.
The prime factorization method is the most common method to represent 36 or any other number. Its other form, the prime factor tree method, is a visual method to represent factors of 36. It helps in determining prime factors of 36. A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6.
We need to divide 36 from the smallest number to the biggest number as shown-
Prime factorization of 36 using the prime factorization method is 2 × 2 × 3 × 3 = 2² × 3².
1. 36 is the square of six and a triangular number, making it a square, triangular number. It is the smallest square, a triangular number other than one, and it is also the only triangular number other than the one whose square root is also a triangular number.
2. This number is the sum of a twin prime pair (17 + 19), the sum of the cubes of the first three positive integers, and the product of the squares of the first three positive integers.
3. 36 is the number of degrees in the interior angle of each tip of a regular pentagram.
4. 36 is the largest numeric base that some computer systems support because it exhausts the numerals 0–9 and the letters A-Z.
5. The sum of the integers from 1 to 36 is 666.