What is the prime factorization for 1040?

Answer 1

Here is one way to determine the prime factors of 1040.

Start with the lowest Prime number, 2, and divide it into 1040 as many times as it goes.

1040 ÷ 2 = 520

520 ÷ 2 = 260

260 ÷ 2 = 130

130 ÷ 2 = 65

Since 65 is even, it is not divisible by 2. The next prime is 3, but it does not divide 65 evenly, so continue up to the next prime, 5.

65 ÷ 5 = 13

13 is a prime number, so it is the final prime in the factorization.

1040 = 2 x 2 x 2 x 2 x 5 x 13 = 24 x 5 x 13