What are the factors and prime factors of 1296?

Answer 1

1296 is a composite number because it has factors other than 1 and itself. It is not a Prime number.

The 25 factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, and 1296. There are an odd number of factors since 1296 is a square number (36 x 36).

The factor pairs of 1296 are 1 x 1296, 2 x 648, 3 x 432, 4 x 324, 6 x 216, 8 x 162, 9 x 144, 12 x 108, 16 x 81, 18 x 72, 24 x 54, 27 x 48, and 36 x 36.

The proper factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, and 648 or,

if the definition you are using excludes 1, they are 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, and 648.

The prime factors of 1296 are 2, 2, 2, 2, 3, 3, 3, and 3. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.

The distinct prime factors of 1296 are 2 and 3.

The prime factorization of 1296 is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 or, in exponential form, 24 x 34.
The prime factors of 1296 are: 2, 3
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