## What is the prime factorization of 1156?

So, the prime factorization of 1156 can be written as 22 × 172 where 2, 17 are prime.

**What are the factors of 1365?**

Factors of 1365

- All Factors of 1365: 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455 and 1365.
- Prime Factors of 1365: 3, 5, 7, 13.
- Prime Factorization of 1365: 31 × 51 × 71 × 131
- Sum of Factors of 1365: 2688.

**How do I determine prime factors?**

Find the prime factorization of a composite number using the ladder method

- Divide the number by the smallest prime.
- Continue dividing by that prime until it no longer divides evenly.
- Divide by the next prime until it no longer divides evenly.
- Continue until the quotient is a prime.

### What is the prime factorization of 1111?

The prime factorization of 1,111 is 11 × 101. Since it has a total of 2 prime factors, 1,111 is a composite number.

**What is the prime factor of 2025?**

So we stop the process and continue dividing the number 25 by the next smallest prime factor. We stop ultimately if the next prime factor doesn’t exist or when we can’t divide any further. So, the prime factorization of 2025 can be written as 34 × 52 where 3, 5 are prime.

**What are the prime factors of 1681?**

Solution:

- Prime factorization of 1681 = 1 × 41 × 41.
- Group the prime factors obtained for 1681 in pairs.
- Pick one factor from each pair and they can be written in the form: 1681 = 412
- Thus, following the law of exponents, we get, √1681 = √(41²) = 41.

## What is the prime factorization of 1092?

Since, the prime factors of 1092 are 2, 3, 7, 13. Therefore, the product of prime factors = 2 × 3 × 7 × 13 = 546.

**What is the prime factorization of 6825?**

Prime Factorization 3 × 52 × 7 × 13 The prime factorization of 6,825 is 3 × 52 × 7 × 13. Since it has a total of 5 prime factors, 6,825 is a composite number.

**How do you find prime factors of a number Geeksforgeeks?**

Following are the steps to find all prime factors:

- While n is divisible by 2, print 2 and divide n by 2.
- After step 1, n must be odd. Now start a loop from i = 3 to square root of n.
- If n is a prime number and is greater than 2, then n will not become 1 by above two steps. So print n if it is greater than 2.

### What is the factor of 1729?

The factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729. Therefore, 1729 has 8 factors.