What are the factors and prime factors of 288?

Answer 1

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

The 18 factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, and 288.

The factor pairs of 288 are 1 x 288, 2 x 144, 3 x 96, 4 x 72, 6 x 48, 8 x 36, 9 x 32, 12 x 24, and 16 x 18.

The proper factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, and 144 or,
if the definition you are using excludes 1, they are 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, and 144.

The prime factors of 288 are 2, 2, 2, 2, 2, 3, and 3. 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 distinct prime factors of 288 are 2 and 3.

The prime factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3 or, in exponential form, 25 x 32.

Answer 2

We note that 288 is an even number, because it enbds in 0,2,4,6,8

1. Hence it will divide by '2'
2. So creating a 'step ladder'.

2)288

2)144

2)72

2)36

2)18

2)9

3)3

3)3 = 1

NB When it will no longer divide by '2' , then try the next prime number '3', as in this case.

Keep dividing until it reduces to '1'.

Hence the prime factor of 288 are 2x2x2x2x2x2x3x3 = 2^(6)x3(2) = 64 x 9