What are the Factors of 29325?

Answer: Factors of 29325 are 1, 3, 5, 15, 17, 23, 25, 51, 69, 75, 85, 115, 255, 345, 391, 425, 575, 1173, 1275, 1725, 1955, 5865, 9775, 29325

★★★★4.2/5(41 ratings)👁101 students used this solution✓ Free & No Sign-up

What are the Factors of 29325?

The following are the different types of factors of 29325:

• Factors of 29325: 1, 3, 5, 15, 17, 23, 25, 51, 69, 75, 85, 115, 255, 345, 391, 425, 575, 1173, 1275, 1725, 1955, 5865, 9775, 29325

• Negative Factors of 29325: -1, -3, -5, -15, -17, -23, -25, -51, -69, -75, -85, -115, -255, -345, -391, -425, -575, -1173, -1275, -1725, -1955, -5865, -9775, -29325

• Prime Factors of 29325: 3, 5, 17, 23

• Prime Factorization of 29325: 31×52×171×2313^1\times5^2\times17^1\times23^1

Factors by Division Method

To calculate the factors of 29325, 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: 29325 ÷ 3 = 9775
Step 2: 9775 ÷ 5 = 1955
Step 3: 1955 ÷ 5 = 391
Step 4: 391 ÷ 17 = 23
Step 5: 23 ÷ 23 = 1

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

• Prime Factors of 29325: 3×5×5×17×233\times5\times5\times17\times23

• Prime Factorization of 29325: 31×52×171×2313^1\times5^2\times17^1\times23^1

The factors will be all the multiples of 1, 3, 5, 5, 17, 23, 391, 1955, 9775, 29325

Calculating all the factors:
3 = 1 x 3
5 = 1 x 5
15 = 1 x 3 x 5
17 = 1 x 17
23 = 1 x 23
25 = 5 x 5
51 = 3 x 17
69 = 3 x 23
75 = 1 x 3 x 5 x 5
85 = 5 x 17
115 = 5 x 23
255 = 3 x 5 x 17
345 = 3 x 5 x 23
391 = 1 x 391
1173 = 3 x 391
1275 = 1 x 3 x 5 x 5 x 17
1725 = 3 x 5 x 5 x 23
1955 = 1 x 1955
5865 = 3 x 1955
9775 = 1 x 9775
29325 = 1 x 29325

Finally Factors of 29325 = 1, 3, 5, 15, 17, 23, 25, 51, 69, 75, 85, 115, 255, 345, 391, 425, 575, 1173, 1275, 1725, 1955, 5865, 9775, 29325

📤 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.