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Factoring and Multiples

# What are the factors and prime factors of 630?

###### 02/04/2010

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

The 24 factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, and 630.

The factor pairs of 630 are 1 x 630, 2 x 315, 3 x 210, 5 x 126, 6 x 105, 7 x 90, 9 x 70, 10 x 63, 14 x 45, 15 x 42, 18 x 35, and 21 x 30.

The proper factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, and 315 or,

if the definition you are using excludes 1, they are 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, and 315.

The prime factors of 630 are 2, 3, 3, 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 630 are 2, 3, 5, and 7.

The prime factorization of 630 is 2 x 3 x 3 x 5 x 7 or, in index form (in other words, using exponents), 2 x 32 x 5 x 7.

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