Express each of the following as a product of prime factors : 216, 441 ,468 ,525 ,540 ,1729.
Answers
Step-by-step explanation:
1. Prime factorization: 216 = 2 x 2 x 2 x 3 x 3 x 3, which can be written 216 = 2³ x 3³. The exponents in the prime factorization are 3 and 3. Adding one to each and multiplying we get (3 + 1) x (3 + 1) = 4 x 4 = 16. Therefore 216 has 16 factors
2. If we put all of it together we have the factors 3 x 3 x 7 x 7 = 441. It can also be written in exponential form as 32 x 72.
3.468 = 2 x 2 x 3 x 3 x 13 ∴ 468 = 22 x 33 x 13
4.The prime factorization of 525 in expanded form is 3×5×5×7 3 × 5 × 5 × 7 .
5.The prime factorization of 540 is 2, 2, 3, 3, 3, and 5. To find this answer, we can start by extracting the prime number 5 as one of the factors.
6. ANSWER
7 ∣
1729
13 ∣
247
19 ∣
19
1
1729=7×13×19
13−7=6, 19−13=6
I HOPE YOU FIND IT HELPFUL