Question

find the prime factorization of the following 78,120,256,84,441,240,2304,3125,1260​

Answer 1

Answer:

Step-by-step explanation:

Prime factorization:

1260 = 2 × 2 × 3 × 3 × 5 × 7,

which can be written 1260 = 2² × 3² × 5 × 7. The exponents in the prime factorization are 2, 2, 1, and 1.

Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) (1 + 1) = 3 × 3 × 2 × 2 = 36.

Therefore 1260 has exactly 36 factors.