what does it mean when they say " write the prime factorization of each number " ?

Question

i need it for my homwork fast !!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

It means to write down a series of prime numbers which, when multiplied together, equals that number.

Here are some examples:
2 = 1 x 2
3 = 1 x 3
4 = 2 x 2
8 = 2 x 2 x 2
12 = 2 x 2 x 3
55 = 5 x 11
81 = 3 x 3 x 3 x 3
100 = 2 x 2 x 5 x 5

The prime factorization of 100 is 2 x 2 x 5 x 5

The prime factorization of a prime number is 1 x that number

Answer 2

When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, the number 36 can be written as a product of primes as: 36 = 22 32. The expression 22 32 is said to be the prime factorization of 36.

Answer 3

get the prime factors (the prime numbers that will multply to get that one number.)

i.e. 24
^
3 8
^
4 2
^
2 2

your prime numbers are 3*2*2*2

or 3*2^3