Question

Express 80 as the product of its prime factors. Write the prime factors in ascending order.​

Answer 1

2 x 2 x 2 x 2 x 5

Explanation:

For example, we can split 80 in 40x2, then 40 into 20x2, then 20 into 10x2, and 10 into 2x5. So, at the end, the broke down 80 into its prime factors (2 and 5, only divisibles by 1 and by themselves)

80

40x2

20x2 x2

10x2 x2 x2

2x5 x2 x2 x2

Then we take all the instances of the prime factors, 2 and 5. We have four 2s and one 5, and we order them in ascending order:

2 x 2 x 2 x 2 x 5 = 80

Answer 2

Step-by-step explanation

To express 80 as the product of its prime factors, we can follow these steps:

Divide 80 by the smallest prime number, which is 2. The result is 40.

Divide 40 by 2 again, which is also a prime number. The result is 20.

Divide 20 by 2 again, which is also a prime number. The result is 10.

Divide 10 by 2 again, which is also a prime number. The result is 5.

We cannot divide 5 any further, as 5 is a prime number.

Therefore, the prime factorization of 80 is:

80 = 2 x 2 x 2 x 2 x 5

To write the prime factors in ascending order, we can rearrange the factors as:

80 = 2 x 2 x 2 x 2 x 5 = 2^4 x 5

So the prime factors of 80, in ascending order, are 2 and 5, with exponents of 4 and 1, respectively.