What are the Factors of 42168?

Answer: Factors of 42168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 251, 502, 753, 1004, 1506, 1757, 2008, 3012, 3514, 5271, 6024, 7028, 10542, 14056, 21084, 42168

★★★★★4.8/5(19 ratings)👁39 students used this solution✓ Free & No Sign-up

What are the Factors of 42168?

The following are the different types of factors of 42168:

• Factors of 42168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 251, 502, 753, 1004, 1506, 1757, 2008, 3012, 3514, 5271, 6024, 7028, 10542, 14056, 21084, 42168

• Negative Factors of 42168: -1, -2, -3, -4, -6, -7, -8, -12, -14, -21, -24, -28, -42, -56, -84, -168, -251, -502, -753, -1004, -1506, -1757, -2008, -3012, -3514, -5271, -6024, -7028, -10542, -14056, -21084, -42168

• Prime Factors of 42168: 2, 3, 7, 251

• Prime Factorization of 42168: 23×31×71×25112^3\times3^1\times7^1\times251^1

Factors by Division Method

To calculate the factors of 42168, 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: 42168 ÷ 2 = 21084
Step 2: 21084 ÷ 2 = 10542
Step 3: 10542 ÷ 2 = 5271
Step 4: 5271 ÷ 3 = 1757
Step 5: 1757 ÷ 7 = 251
Step 6: 251 ÷ 251 = 1

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

• Prime Factors of 42168: 2×2×2×3×7×2512\times2\times2\times3\times7\times251

• Prime Factorization of 42168: 23×31×71×25112^3\times3^1\times7^1\times251^1

The factors will be all the multiples of 1, 2, 2, 2, 3, 7, 251, 1757, 5271, 10542, 21084, 42168

Calculating all the factors:
2 = 1 x 2
3 = 1 x 3
4 = 1 x 2 x 2
6 = 2 x 3
7 = 1 x 7
8 = 1 x 2 x 2 x 2
12 = 2 x 2 x 3
14 = 2 x 7
21 = 3 x 7
24 = 1 x 2 x 2 x 2 x 3
28 = 2 x 2 x 7
56 = 2 x 2 x 2 x 7
168 = 1 x 2 x 2 x 2 x 3 x 7
251 = 1 x 251
502 = 2 x 251
753 = 3 x 251
1004 = 2 x 2 x 251
1757 = 1 x 1757
2008 = 2 x 2 x 2 x 251
3514 = 2 x 1757
5271 = 1 x 5271
6024 = 2 x 2 x 2 x 3 x 251
7028 = 2 x 2 x 1757
10542 = 1 x 10542
14056 = 2 x 2 x 2 x 1757
21084 = 1 x 21084
42168 = 1 x 42168

Finally Factors of 42168 = 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 251, 502, 753, 1004, 1506, 1757, 2008, 3012, 3514, 5271, 6024, 7028, 10542, 14056, 21084, 42168

📤 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.