Determine a forma fatorada completa do número 1260

General
1

determine a forma fatorada completa do número 1260

2

Determine the prime factorization of the number 1260

Answer:
To find the prime factorization of the number 1260, we need to express it as a product of prime numbers. Here is the step-by-step process to determine the prime factorization of 1260:

  1. Divide by the Smallest Prime Numbers:
    Begin by dividing 1260 by the smallest prime number, which is 2.
    1260 ÷ 2 = 630

  2. Continue Factoring Out 2’s:
    Continue factoring out 2 until you can no longer divide by it.
    630 ÷ 2 = 315
    315 ÷ 2 = Not divisible by 2

  3. Next Prime Number - 3:
    Since 315 is not divisible by 2, move to the next smaller prime number, which is 3.
    315 ÷ 3 = 105

  4. Repeat the Process:
    Continue dividing by prime numbers until the quotient is a prime number.
    105 ÷ 3 = 35
    35 ÷ 5 = 7

  5. Prime Factorization:
    The prime factorization of 1260 can be represented as the product of its prime factors: 2 x 2 x 3 x 3 x 5 x 7 = 2^2 x 3^2 x 5 x 7.

Therefore, the prime factorization of 1260 is 2^2 x 3^2 x 5 x 7.