What are the factors and prime factors of 1000?

Answer 1

1000 is a composite number because it has factors other than 1 and itself. It is not a Prime number.

The 16 factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000.

The factor pairs of 1000 are 1 x 1000, 2 x 500, 4 x 250, 5 x 200, 8 x 125, 10 x 100, 20 x 50, and 25 x 40.

The proper factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, and 500 or,
if the definition you are using excludes 1, they are 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, and 500.

The prime factors of 1000 are 2, 2, 2, 5, 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 of 1000 are 2 and 5.

The prime factorization of 1000 is 2 x 2 x 2 x 5 x 5 x 5 or, in exponential form, 23 x 53.

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.

A factor tree can be used to determine the prime factors:
..........1000
........../.....\
........20 x 50
......./..\..../..\
......4 x5...5x10
...../ \........./..\
....2x2.......2 x 5
So, the prime factors are 5, 5, 2, 2, 2, and 5.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

1 x 1000, 2 x 500, 4 x 250, 5 x 200, 8 x 125, 10 x 100, 20 x 50, 25 x 40