What is the square root of 225 by prime factorization method?

What is the square root of 225 by prime factorization method?

The prime factorization of 225 = 32 × 52. Here, all the numbers are in the power of 2. This implies that the square root of 225 is a positive integer. Therefore, 225 is a perfect square.

What can be multiplied to get 225?

List of Factor Pairs for 225

• 1 x 225 = 225.
• 3 x 75 = 225.
• 5 x 45 = 225.
• 9 x 25 = 225.
• 15 x 15 = 225.
• 25 x 9 = 225.
• 45 x 5 = 225.
• 75 x 3 = 225.

What is the HCF of 225?

The HCF of 135 and 225 is 45. To calculate the Highest common factor (HCF) of 135 and 225, we need to factor each number (factors of 135 = 1, 3, 5, 9, 15, 27, 45, 135; factors of 225 = 1, 3, 5, 9, 15, 25, 45, 75, 225) and choose the highest factor that exactly divides both 135 and 225, i.e., 45.

IS 225 a perfect square if so find the number whose square is 225?

Yes 225 is a perfect square. The number whose square is 225 is “15”.

How do you find the prime factorization?

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

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

What is the prime factorization of 224?

This is the repeated division method and we see the prime factorization of 224 is 224 = 2 × 2 × 2 × 2 × 2 × 7. 2, 7 are the prime factors and we see that 2 is a repeated prime factor.

Is 225 a composite?

Is 225 a Composite Number? Yes, since 225 has more than two factors i.e. 1, 3, 5, 9, 15, 25, 45, 75, 225. In other words, 225 is a composite number because 225 has more than 2 factors.

How do you find the factor of a number?

How to Find Factors of a Number?

1. Find all the numbers less than or equal to the given number.
2. Divide the given number by each of the numbers.
3. The divisors that give the remainder to be 0 are the factors of the number.

What is the greatest common factor for 250?

The factors of 250 are 1, 2, 5, 10, 25, 50, 125 and 250. The common factors of 50 and 250 are 1, 2, 5, and 10.