Table of Contents

- 1 What is the factor of 2261?
- 2 How do you find the prime factorization?
- 3 What are the factors of 323?
- 4 What is the sum of the exponents of the prime factorization of 144?
- 5 What is a prime factorization in math?
- 6 What is the factoring method?
- 7 What is the greatest number that will divide 45 and 90 without leaving a remainder?
- 8 What is the greatest number that divides 26 and 65 without leaving any remainder?

## What is the factor of 2261?

2) Highest common factor is the highest number which can divide to the given numbers. So, HCF[2261, 3059, 3325] = 133.

### How do you find the prime factorization?

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 are the factors of 323?

The factors of 323 are 1, 17, 19, 323 and its negative factors are -1, -17, -19, -323.

**What is the prime factorization of 3740?**

Prime Factorization 22 × 5 × 11 × 17 The prime factorization of 3,740 is 22 × 5 × 11 × 17.

**What is the largest number that divides 1596 and 2261?**

R D Sharma – Mathematics 9 then, → HCF = 7 * 19 = 133 . therefore, we can conclude that, the largest number that divides each one of 1596 and 2261 exactly is 133 .

## What is the sum of the exponents of the prime factorization of 144?

The prime factor of the 144 is 24 x 32. The exponents in the prime factorisation are 4 and 2. Add the number 1 with the exponents and multiply it. (4+1)(2+1) = 5 x 3 = 15.

### What is a prime factorization in math?

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself. The number 6 is expressed as 2 × 3 since 3 and 2 are prime numbers. Therefore, the prime factorization of 30 is 2 × 3 × 5.

#### What is the factoring method?

Factoring is the process by which we go about determining what we multiplied to get the given quantity. A common method of factoring numbers is to completely factor the number into positive prime factors. A prime number is a number whose only positive factors are 1 and itself.

**Is 361 a prime no?**

No, 361 is not a prime number. The number 361 is divisible by 1, 19, 361. Since 361 has more than two factors, i.e. 1, 19, 361, it is not a prime number.

**Is 391 prime or composite?**

The number 391 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 391. The first step is to divide the number 391 with the smallest prime factor, here it is 17.

## What is the greatest number that will divide 45 and 90 without leaving a remainder?

Answer: 9 is the greatest no. that will divide 45 and 90 without leaving a remainder.

### What is the greatest number that divides 26 and 65 without leaving any remainder?

What is GCF of 26 and 65? Answer: GCF of 26 and 65 is 13. Explanation: The GCF of two non-zero integers, x(26) and y(65), is the greatest positive integer m(13) that divides both x(26) and y(65) without any remainder.