Write 800 as the product of its prime factors.

800|2 800|2 400|2 200|2 100|2 50|2 25|5 5|5 1
800 = 2 5 ⋅ 5 2

Answered by konrad509 | 2024-06-10

To write 800 as the product of its prime factors, you break it down into the smallest factors until all are prime and then express it in exponential form, which is 2^5 * 5^2.
Writing 800 as the product of its prime factors involves breaking it down into factors that are all prime numbers. To find the prime factors of 800, we divide it by the smallest prime number 2 and continue to divide until all remaining factors are prime:
800 \ 2 = 400
400 \ 2 = 200
200 \ 2 = 100
100 \ 2 = 50
50 \ 2 = 25
25 \ 5 = 5
5 \ 5 = 1 (end)
The prime factors of 800 are 2, 2, 2, 2, 2, 5, and 5. In exponential form, this can be written as 25 \* 52.
When writing a number in exponential form, we express it as a product of its prime factors with their corresponding powers. For 800, it's the multiplication of the base prime number 2 raised to the power of 5, and prime number 5 raised to the power of 2.

Answered by priyanka10 | 2024-06-24

The prime factorization of 800 is expressed as 2 raised to the power of 5 and 5 raised to the power of 2, written as 800 = 2 5 ⋅ 5 2 . This means 800 can be obtained by multiplying five 2s and two 5s together. The breakdown involves dividing 800 by the smallest prime numbers until reaching 1.
;

Answered by konrad509 | 2024-11-03