Express 5400 as the product of its prime factors

Answer 1

To express 5400 as the product of its prime factors, we need to find all the prime numbers that divide evenly into 5400.

First, we divide 5400 by 2:
5400 ÷ 2 = 2700

Now, we divide 2700 by 2:
2700 ÷ 2 = 1350

Next, we divide 1350 by 2 again:
1350 ÷ 2 = 675

At this point, we can no longer divide by 2 because it is an odd number. So, we move on to the next prime number, which is 3:

675 ÷ 3 = 225

Now, we divide 225 by 3 again:
225 ÷ 3 = 75

Again, we divide 75 by 3:
75 ÷ 3 = 25

Now, we divide 25 by 5, another prime number:
25 ÷ 5 = 5

Finally, we divide 5 by itself:
5 ÷ 5 = 1

Therefore, the prime factorization of 5400 is:
2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 = 2^3 × 3^3 × 5^2