## What is the prime factorization of 125 using exponents?

Factors of 125 by Prime Factorization Let us express 125 in terms of the product of its prime factors as 5 × 5 × 5 or in the exponent form as 53.

### Can you use exponents in prime factorization?

Prime factorization is the breaking down of a number into the prime numbers that multiply to the original number. We can add exponents when we have the same prime number occurring more than once.

What is the prime factorization of 121 using exponents?

The prime factorization of 121 is 11 × 11 or 112, then add 1 to the exponent. i.e. 2 + 1 = 3. We have 3 distinct factors of 121.

What is the prime factorization of 112 with exponents?

On dividing 112 by 56, we get 112 ÷ 56 = 2. Thus the prime factorization of 112 = 2 x 2 x 2 x 2 x 7 is obtained by drawing the factor tree of 112.

## Is 125 a cube number?

As the cube root of 125 is a whole number, 125 is a perfect cube.

### What is the prime factorization of 132?

132 is composite number with factors 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, and 132. It can be expressed as the product of two consecutive numbers: 132 = 11 × 12. Prime factorization of 132: 2 × 2 × 3 × 11.

What is the prime factorization of 16 using exponents?

24
The prime factorization of 16 with exponents is 24 .

What is the prime factorization of 122?

Since, the prime factors of 122 are 2, 61. Therefore, the product of prime factors = 2 × 61 = 122.

## What are the factors of 113?

Solution: The factors of 113 are 1, 113 and factors of 68 are 1, 2, 4, 17, 34, 68.

### IS 125 a perfect square or cube?

125 is a perfect cube number. 125 can be expressed as a sum of two squares in two different ways, 125 = 102 + 52 or 112 + 22. Square Root of 125 is expressed as 5 √5. In this lesson, we will calculate the square root of 125 by long division method.

What are all the factors of 126?

The factors of 126 are listed with the smallest number first, which is 1, and the largest number last, which is 126. 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126. Note that all factors of 126 are whole postive numbers.

What is the LCM of 126 and 28?

To get the Least Common Multiple (LCM) of 126 and 28 we need to factor each value first and then we choose all the factors which appear in any column and multiply them: The Least Common Multiple (LCM) is: 2 x 2 x 3 x 3 x 7 = 252.

## What are the prime numbers for 126?

Prime factors of number 126 are: 2, 3, 7. Equcation of 126 is: 2 * 3 * 3 * 7. The smallest common factor of 126 is number 2. Highest or greatest common factor GCF of 126 is number 7.

### Is 126 a composite number?

A: Yes, 126 is a composite number. A composite number is a number that can be divided evenly by more numbers than 1 and itself. It is the opposite of a prime number. The number 126 can be evenly divided by 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63 and 126, with no remainder.