What are the factors and prime factors of 100?

Answer 1

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

The 9 factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. It is a square number (10 x 10), so it has an odd number of factors.

The factor pairs of 100 are 1 x 100, 2 x 50, 4 x 25, 5 x 20, and 10 x 10.

The proper factors of 100 are 1, 2, 4, 5, 10, 20, 25, and 50 or,

if the definition you are using excludes 1, they are 2, 4, 5, 10, 20, 25, and 50.

The prime factors of 100 are 2, 2, 5, and 5.

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 2 distinct prime factors (listing each prime factor only once) of 100 are 2 and 5.

The prime factorization of 100 is 2 x 2 x 5 x 5 or, in index form (in other words, using exponents), 22 x 52.

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

Factor tree:

You can use a factor tree to determine the prime factors as follows:

100

10 x 10

(2x5) x (2x5)

So the prime factorization is 2 x 2 x 5 x 5.