What are the Factors of 33642?

Answer: Factors of 33642 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 89, 126, 178, 189, 267, 378, 534, 623, 801, 1246, 1602, 1869, 2403, 3738, 4806, 5607, 11214, 16821, 33642

★★★★★4.7/5(25 ratings)👁52 students used this solution✓ Free & No Sign-up

What are the Factors of 33642?

The following are the different types of factors of 33642:

• Factors of 33642: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 89, 126, 178, 189, 267, 378, 534, 623, 801, 1246, 1602, 1869, 2403, 3738, 4806, 5607, 11214, 16821, 33642

• Negative Factors of 33642: -1, -2, -3, -6, -7, -9, -14, -18, -21, -27, -42, -54, -63, -89, -126, -178, -189, -267, -378, -534, -623, -801, -1246, -1602, -1869, -2403, -3738, -4806, -5607, -11214, -16821, -33642

• Prime Factors of 33642: 2, 3, 7, 89

• Prime Factorization of 33642: 21×33×71×8912^1\times3^3\times7^1\times89^1

Factors by Division Method

To calculate the factors of 33642, 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: 33642 ÷ 2 = 16821
Step 2: 16821 ÷ 3 = 5607
Step 3: 5607 ÷ 3 = 1869
Step 4: 1869 ÷ 3 = 623
Step 5: 623 ÷ 7 = 89
Step 6: 89 ÷ 89 = 1

In step 6, we have reached to 1, and so, the process is stopped.

• Prime Factors of 33642: 2×3×3×3×7×892\times3\times3\times3\times7\times89

• Prime Factorization of 33642: 21×33×71×8912^1\times3^3\times7^1\times89^1

The factors will be all the multiples of 1, 2, 3, 3, 3, 7, 89, 623, 1869, 5607, 16821, 33642

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 = 3 x 7
42 = 2 x 3 x 7
54 = 1 x 2 x 3 x 3 x 3
89 = 1 x 89
126 = 2 x 3 x 3 x 7
178 = 2 x 89
267 = 3 x 89
378 = 1 x 2 x 3 x 3 x 3 x 7
534 = 2 x 3 x 89
623 = 1 x 623
1246 = 2 x 623
1602 = 2 x 3 x 3 x 89
1869 = 1 x 1869
3738 = 2 x 1869
4806 = 2 x 3 x 3 x 3 x 89
5607 = 1 x 5607
11214 = 2 x 5607
16821 = 1 x 16821
33642 = 1 x 33642

Finally Factors of 33642 = 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 89, 126, 178, 189, 267, 378, 534, 623, 801, 1246, 1602, 1869, 2403, 3738, 4806, 5607, 11214, 16821, 33642

📤 Share this solution

Explore Other Topics

Discover related mathematical topics and practice problems to expand your understanding. Each topic includes carefully selected examples to help you master the subject.