Prime Factor Decomposition

Question 1

What is prime factor decomposition

Answer 1

Prime factorization is a process of writing all numbers as a product of primes.

Question 2

Find the Prime Factor Decomposition of 36

Answer 2

To find the prime factor decomposition of
36, we’ll start by dividing it by the smallest prime number, 2 and continue dividing by primes until we can’t divide anymore.
36=2×18
(divide by 2)
=2×2×9
(divide by 2)
=2×2×3×3(divide by 3)

Question 3

Find the Prime Factor Decomposition of 90

Answer 3

To find the prime factor decomposition of 90
90=2×45(divide by 2)
=2×3×15(divide by 3)
=2×3×3×5(divide by 3 again)
90

Question 4

Find the Prime Factor Decomposition of 168

Answer 4

To find the prime factor decomposition of 168
=2×84(divide by 2)
=2×2×42(divide by 2)
=2×2×2×21(divide by 3)
=2×2×2×3×7(divide by 7)
168

Question 4

Find the Prime Factor Decomposition of 300

Answer 4

To find the prime factor decomposition of 300
=2×150(divide by 2)
=2×2×75(divide by 2)
=2×2×3×25(divide by 3)
=2×2×3×5×5(divide by 5)
300

Question 5

Find the Prime Factor Decomposition of 120

Answer 5

To find the prime factor decomposition of 120
=2×60(divide by 2)
=2×2×30(divide by 2)
=2×2×2×15(divide by 3)
=2×2×2×3×5(divide by 5)
120