What are the factors of 27300?

Answer 1

In order to determine the factors of that term, we need to factor out these terms into primes.

One way to approach this problem is factoring out the term by prime each time to "get down" the value to the lowest one until you have the prime factors.

For instance...

27300

= 2 * 13650

= 2² * 6825

= 2² * 5 * 1365

= 2² * 5² * 273

= 2² * 5² * 3 * 91

= 2² * 3 * 5² * 7 * 13

Another way to approach this problem is to factor the large number out by the term properties you know! For instance, 27300 has 2 zeroes at the end. This shows that the value is divisible by 100. We can factor that term out to get...

27300 = 100 * 273

Follow the similar procedures to factor out each term. You should get:

10² * 3 * 91

= (2 * 5)² * 3 * 7 * 13

= 2² * 3 * 5² * 7 * 13