Quick Answer: What Is The Greatest Perfect Square That Is A Factor Of 378?

What is the greatest perfect square that is a factor of 1575?

225What is the greatest perfect square that is a factor of 1575.

So, the greatest perfect square tiat is a factor of 1575 is 225.

On Your Own…

Write the prime factorization of the number..

What is the perfect square formula?

When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². … This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b).

Is 14 a perfect square?

The first 1000 perfect squares are listed below….List of perfect Squares?Perfect SquareFactors12111 * 1114412 * 1216913 * 1319614 * 1416 more rows

What is the prime factorization of 135?

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135. Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5.

What is the prime factorization of 420?

Again, all the prime numbers you used to divide above are the Prime Factors of 420. Thus, the Prime Factors of 420 are: 2, 2, 3, 5, 7.

How do you find the greatest perfect square that is a factor of a number?

To simplify a surd, write the number under the root sign as the product of two factors, one of which is the largest perfect square. Note that the factor 16 is the largest perfect square. Recall that the numbers 1, 4, 9, 16, 25, 36, 49, … are perfect squares.

What is the greatest perfect square that is a factor of the number 650?

The exponents in the prime factorization are 1, 2, and 1. Adding one to each and multiplying we get (1 + 1)(2 + 1)(1 + 1) = 2 x 3 x 2 = 12. Therefore 650 has exactly 12 factors. Taking the factor pair with the largest square number factor, we get √650 = (√25)(√26) = 5√26 ≈ 25.495098.

IS 252 a perfect square?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 252 is about 15.875. Thus, the square root of 252 is not an integer, and therefore 252 is not a square number.

What is the prime factor of 378?

378 is a composite number. The exponents in the prime factorization are 1, 3, and 1. Adding one to each and multiplying we get (1 + 1)(3 + 1)(1 + 1) = 2 x 4 x 2 = 16. Therefore 378 has exactly 16 factors.

IS 400 a perfect square?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 400 is 20. Therefore, the square root of 400 is an integer, and as a consequence 400 is a perfect square.

What are the prime factors of 180?

The prime factorization of 180 is 5 × 2 × 2 × 3 × 3.

IS 378 a perfect square?

378 is a perfect square if the square root of 378 equals a whole number.