Question

Daniella has a computer program that can find the prime factorization of any number. She enters the number 180. What should she expect the program output to be? Explain how you found your answer

Answer 1

2²*3²*5

Explanation:

Let's start with good definitions in order to prevent any mistake:

Prime Numbers= Numbers that can only be divided by 1, and himself. Like 3, which divides by 3 and 1.

Composite Numbers = Numbers that divide by more than two factors like 6, with three factors: 3,2,1

When we Prime Factor any number, like the composite Number 180

Check below:

1) Write down to the left the number you want to Prime Factor, in this case 180.

2) Check if it's divisible and pick the lowest prime number which divide the number to the left. Continue looking for the next prime able to divide the following, and then go on.

3) Proceed dividing it until you get 1 on the left side.

4) Count the powers and exponent and write it as product.

Answer 2

2²×3²×5

Explanation:

A prime number is a whole number greater than 1 that can not be found by multiplying other whole numbers

Write 180 in form of prime numbers multiples

180=2×90

=2×2×45

=2×2×3×15

=2×2×3×3×5

=2²×3²×5