Question

find prime factrization of 72 by division method and factor tree method​

Answer 1

Step-by-step explanation:

72

=

2

3

×

3

2

Explanation:

Divide the number to be factored by the prime numbers in turn. Test that result is a natural number. If so, it is a prime factor. Continue until the factorisation is complete.

In this example:

72 is even so 2 is a factor;

72

2

=

36

36 and

36

2

=

18

are also even so we have two more 2's as prime factors.

18

2

=

9

=

3

×

3

Hence we have two 3's as prime factors.

Therefore the prime factors of 72 are

2

×

2

×

2

×

3

×

3

=

2

3

×

3

2