Express index notation, 156 as a product of its prime factors, using a factor tree
To express 156 as a product of its prime factors using a factor tree, we start by dividing 156 by its smallest prime factor, which is 2.
156
/ \
2 78
Now, we divide 78 by its smallest prime factor, which is 2.
156
/ \
2 78
/ \
2 39
Next, we divide 39 by its smallest prime factor, which is 3.
156
/ \
2 78
/ \
2 39
/ \
3 13
Since 13 is a prime number, we stop here.
Therefore, the prime factorization of 156 using a factor tree is:
2 * 2 * 3 * 13 or written in index notation: 2^2 * 3^1 * 13^1.
To express 156 in index notation using a factor tree, we start by finding its prime factors:
156 ÷ 2 = 78
78 ÷ 2 = 39
39 ÷ 3 = 13
Since 13 is a prime number, we cannot divide it any further. Thus, the prime factors of 156 can be written as:
156 = 2^2 × 3 × 13
In index notation, this can be expressed as:
156 = 2^2 × 3^1 × 13^1