What are the factors and prime factors of 112?

Answer 1

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

The 10 factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112.

The factor pairs of 112 are 1 x 112, 2 x 56, 4 x 28, 7 x 16, and 8 x 14.

The proper factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, and 56 or,

if the definition you are using excludes 1, they are 2, 4, 7, 8, 14, 16, 28, and 56.

The prime factors of are 2, 2, 2, 2, and 7.

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 (listing each prime factor only once) of 112 are 2 and 7.

The prime factorization of 112 is 2 x 2 x 2 x 2 x 7 or, in index form (in other words, using exponents), 24 x 7.

NOTE: There cannot be common factors, a greatest common factor, or a least common multiple of a single number because "common" refers to factors or multiples that two or more numbers have in common.

Factor tree:

112

/\

2 x 56

/\

8 x 7

/\

2 x 4

/\

2 x 2

And you are going to want to circle the prime numbers which would be four 2's and one 7. Then after you are done circling the prime numbers, you write the prime factorization as 2x2x2x2x7 = 24 x 7.
The prime factors of 112 are 2 x 2 x 2 x 2 x 7.