What are the Factors of 378?

What are the Factors of 378?

The following are the different types of factors of 378:

• Factors of 378: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

• Negative Factors of 378: -1, -2, -3, -6, -7, -9, -14, -18, -21, -27, -42, -54, -63, -126, -189, -378

• Prime Factors of 378: 2, 3, 7

• Prime Factorization of 378: $2^1\times3^3\times7^1$

Factors by Division Method

To calculate the factors of 378, start by dividing the numbers by the smallest prime number, which is 2. If the number is not divisible by 2, proceed to the next prime number, such as 3, 5, 7, 11, 13, and continue this process until you reach 1.

Step 1: 378 ÷ 2 = 189
Step 2: 189 ÷ 3 = 63
Step 3: 63 ÷ 3 = 21
Step 4: 21 ÷ 3 = 7
Step 5: 7 ÷ 7 = 1

In step 5, we have reached to 1, and so, the process is stopped.

• Prime Factors of 378: $2\times3\times3\times3\times7$

• Prime Factorization of 378: $2^1\times3^3\times7^1$

The factors will be all the multiples of 1, 2, 3, 3, 3, 7, 21, 63, 189, 378

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
6 = 1 x 2 x 3
7 = 1 x 7
9 = 3 x 3
14 = 2 x 7
18 = 1 x 2 x 3 x 3
21 = 1 x 21
42 = 2 x 21
54 = 1 x 2 x 3 x 3 x 3
63 = 1 x 63
126 = 2 x 63
189 = 1 x 189
378 = 1 x 378

Finally Factors of 378 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378