What are the factors and prime factors of 450?

Answer 1

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

The 18 factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

The factor pairs of 450 are 1 x 450, 2 x 225, 3 x 150, 5 x 90, 6 x 75, 9 x 50, 10 x 45, 15 x 30, and 18 x 25.

The proper factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, and 225 or,

if the definition you are using excludes 1, they are 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, and 225.

The prime factors of 450 are 2, 3, 3, 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 3 distinct prime factors (listing each prime factor only once) of 450 are 2, 3, and 5.

The prime factorization of 450 is 2 x 3 x 3 x 5 x 5 or, in index form (in other words, using exponents), 2 x 32 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.