# What are the factors and prime factors of 1050?

1050 is a composite number because it has factors other than 1 and itself. It is not a prime number.

The 24 **factors** of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15,
21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, and
1050.

The **proper factors** of 1050 are 1, 2, 3, 5, 6, 7, 10, 14,
15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, and
525 or,

if the definition you are using excludes 1, they are 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, and 525.

The **prime factors** of 1050 are 2, 3, 5, 5, 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 4 **distinct prime factors** (listing each prime factor
only once) of 1050 are 2, 3, 5, and 7.

The **prime factorization** of 1050 is 2 x 3 x 5 x 5 x 7 or,
in index form (in other words, using exponents), 2 x 3 x 52 x
7.

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.

2 x 3 x 5 x 5 x 7

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