Question

find the sum of factor of 7056​

Answer 1

Answer:

here is your answer please see in the picture...

Answer 2

Answer:

Method 1:

Factors of 7056:

2⁴ x 3² x 7².

Now, we know that:

Σ(n) = (a + 1)(b + 1)(c + 1)...(x+1), where Σ(n) is equal to the number of divisors of the number and a, b,c..x are equal to the exponents of the prime factorization.

Here, (n)=7056, a=4, b=2, c=2.

Substitute the values.

Σ(n)=d(n) = (a + 1)(b + 1)(c + 1)

Σ(7056) = (4 + 1)(2 + 1)(2 + 1)

Σ(7056) = (5)(3)(3)

Σ(7056) = 45.

Thus, the total factors of 7056​ are 45.

Method 2: Find the factors.

Factors of 7056 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528 and 7056. In total, there are 45 facors.

Clearly, finding the factors of 7056 in method 2 is tedious and time consuming. Thus, I prefer method - 1.

HOPE THIS HELPS :D