Question

FIND THE SMALLEST P.S. DIVISIBLE BY 4,5,6,7
AWNSER CORRECTLY

Answer 1

Step-by-step explanation:

To find the smallest square divisible by those numbers, we can use prime factorization to determine what prime factors have to be present in that square.

4=22

5 is prime

10=2×5

Thus, the answer must contain 2 and 5 as factors, and since we seek a perfect square, each factor must appear an even number of times (greater than or equal to the quantity required by the prime factorization of each factor), making 22×52=100 the smallest number that meets the requirements.

Answer 2

Step-by-step explanation:

To find the smallest square divisible by those numbers, we can use prime factorization to determine what prime factors have to be present in that square.

4=22

5 is prime

10=2×5

Thus, the answer must contain 2 and 5 as factors, and since we seek a perfect square, each factor must appear an even number of times (greater than or equal to the quantity required by the prime factorization of each factor), making 22×52=100 the smallest number that meets the requirements.