How do you explain prime factorization for 48?

Answer 1

Well, isn't prime factorization just a beautiful way to break down a number into its simplest parts? Let's take 48, for example. We can express it as 2 x 2 x 2 x 2 x 3, where 2 and 3 are prime numbers. It's like finding the unique colors in a painting, each prime factor is like a special hue that makes up the whole picture.

Answer 2

We note that '48' is an even number because it ends in 0,2,4,6,8, so it will divide by '2'.

Hence dividing

2)48 = 24 An even number so divide by '2' again

2)24 = 12

2)12 = 6

2)6 = 3

At this point '3' is an odd Prime number, so divide by '3' to reduce to '1'.

3)3 = 1

Hence the prime factors are 2 & 3. , because they are both prime numbers and factors of '48'.

However there are more factors of '48' , which are not prime numbers.

They are

2 x 2 = 4

2 x 3 =6

2 x 2 x 2 = 8

2 x 2 x 3 = 12

2 x 2 x 2 x 2 = 16

2 x 2 x 2 x 3 = 24

2 x 2 x 2 x 2 x 3 = 48

Or it can be written as

2^(4) x 3^(1) = 48

Answer 3

48 Divide by two.

24,2 Divide by two.

12,2,2 Divide by two.

6,2,2,2 Divide by two.

3,2,2,2,2 Stop.

2 x 2 x 2 x 2 x 3 = 48

Answer 4

48=2X24=2X2X12=2X2X2X6=2X2X2X2X3=2^4X3