216 = 2x2x2x3x3x3
As a product of its prime factors expressed in exponents it is: 23*33 = 216
!8
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 2 and 3 are prime.
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 216 216 Divide by two. 108,2 Divide by two. 54,2,2 Divide by two. 27,2,2,2 Divide by three. 9,3,2,2,2 Divide by three. 3,3,3,2,2,2 Stop. All the factors are prime. 2 x 2 x 2 x 3 x 3 x 3 = 216 Repeated factors can be abbreviated by the use of exponents (powers). 23 x 33 = 216 That's the prime power factorization of 216.
NO ! Two numbers are relatively prime if they do not share any common factors. 198 and 216 are both even so without any further investigation they both have 2 as a factor and are thus NOT relatively prime. If you look further, they both have 32 as another factor.
The prime factors of 216 are: 2, 3
216 = 2x2x2x3x3x3
216 = 23 x 33
As a product of its prime factors expressed in exponents it is: 23*33 = 216
Their GCF is 9
23 x 33 = 216
To have a gcf of 18 they must have one factor of 18 in common and no other factor, ie the second factor of the numbers must be relatively prime. The multiples of 18 between 200 and 300 are: 12 x 18 = 216 13 x 18 = 234 14 x 18 = 252 15 x 18 = 270 16 x 18 = 288 12 is relatively prime to 13 13 is relatively prime to 14, 15 & 16 14 is relatively prime to 15 15 is relatively prime to 16 (Pairs of numbers are being considered, so as 12 is relatively prime to 13, 13 is also relatively prime to 12 and thus is only listed when the numbers increase, ie under 12 and not under 13.) Thus the pairs: 216 & 234 234 & 252 234 & 270 234 & 288 252 & 270 270 & 288 all have a gcf of 18.
2 and 3 are the smallest prime numbers. So answer is 2^3 * 3^3 = 216
18
The factors of 198 are: 1 2 3 6 9 11 18 22 33 66 99 198The factors of 216 are: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216
The prime factorization of 216 is 2,2,2,3,3,3 or 2 x 2 x 2 x 3 x 3 x 3. Prime factorization is finding prime numbers that multiplies together to satisfy the product. In your case, the product is 216.