Find the number of factors of 3360

Mathematics
1

find the number of factors of 3360

2

find the number of factors of 3360

Answer: To find the number of factors of 3360, you can follow these steps:

  1. Find the prime factorization of 3360:

    3360 = 2^4 * 3^1 * 5^1 * 7^1

  2. Determine the exponents of each prime factor.

    Exponent of 2: 4
    Exponent of 3: 1
    Exponent of 5: 1
    Exponent of 7: 1

  3. To find the number of factors, add 1 to each exponent and then multiply these numbers together.

    Number of factors = (4 + 1) * (1 + 1) * (1 + 1) * (1 + 1) = 5 * 2 * 2 * 2 = 40

So, the number 3360 has 40 factors.