Question

Express the following numbers as products of prime factors using power notation. (i) 5148​

Answer 1

Answer:2² x 3² x 11 x 13

Explanation:

5148 - This is divisible by 9 as the sum of digits is 18 which a multiple of 9.

5148/9 = 572

572 is divisible by 4 as the sum of last two digits is a multiple of 4.

572/4 = 143

143 is divisible by 11 and 13.

So, the factors are 4 x 9 x 11 x 13 or 2² x 3² x 11 x 13

Cheers

Answer 2

Answer: 5148 can be expressed as a product of prime factors using power notation. To find the prime factorization of 5148, we can divide it by the smallest prime number that divides it until the quotient is a prime number.

5148 = 2 * 2574

2574 = 2 * 1287

1287 = 3 * 429

429 = 3 * 143

143 = 11 * 13

So the prime factorization of 5148 is:

5148 = 2^2 * 3^3 * 11 * 13

Therefore, 5148 can be expressed as a product of prime factors using power notation as 2^2 * 3^3 * 11 * 13.

Explanation: