Question

What is the Prime Factorization of 1040​

Answer 1

The prime factorization of 1040 is 2^4 x 5 x 13.

Step-by-step explanation:

The prime factorization of 1040 can be found by dividing it by prime numbers until the quotient is no longer divisible by any prime number. Here's how:

1. Divide 1040 by 2. The quotient is 520.
2. Divide 520 by 2. The quotient is 260.
3. Divide 260 by 2. The quotient is 130.
4. Divide 130 by 2. The quotient is 65.
5. Since 65 is not divisible by 2, divide it by the next prime number, which is 3. The quotient is 21.
6. Divide 21 by 3. The quotient is 7.

Now we can see that the prime factorization of 1040 is 2 x 2 x 2 x 2 x 5 x 13, or 2^4 x 5 x 13.