What are the factors of 156?

To find the factors of 156, follow these steps:

Start by dividing 156 by the smallest prime number, which is 2. 156 ÷ 2 = 78 (So, 2 is a factor of 156).

Next, divide 78 by 2 again: 78 ÷ 2 = 39 (So, 2 is again a factor of 156).

Now, check 39 for divisibility by the next smallest prime number, which is 3. 39 ÷ 3 = 13 (So, 3 is a factor of 156).

Finally, check if 13 is a prime number. Since 13 has no divisors other than 1 and itself, it is prime.

Thus, the prime factorization of 156 is: 156 = 2 × 2 × 3 × 13

Now, to find all factors of 156, consider all possible products of these prime factors:

1
2
3
4 (2 × 2)
6 (2 × 3)
12 (2 × 2 × 3)
13
26 (2 × 13)
39 (3 × 13)
52 (2 × 2 × 13)
78 (2 × 3 × 13)
156 (2 × 2 × 3 × 13)
Thus, the factors of 156 are: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156.