What are the factors and prime factors of 900?

Answer 1

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

The 27 factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, and 900. Since 900 is a square number (30 x 30), it has an odd number of factors.

The proper factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, and 450 or,

if the definition you are using excludes 1, they are 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, and 450.

The prime factors of 900 are 2, 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 900 are 2, 3, and 5.

The prime factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5 or, in index form (in other words, using exponents), 22 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. 8------>
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
5 * 5 * 3 * 3 * 2 * 2 = 900 5^2 * 3^2 *2^2 = 900