What are the factors of 225?

These are the integers which can be evenly divided into 225; they can be expressed as either individual factors or as factor pairs. In this case, we present them both ways. This is mathematical decomposition of a particular number. While usually a positive integer, take note of the comments below about negative numbers.

What is the prime factorization of 225?

A prime factorization is the result of factoring a number into a set of components which every member is a prime number. This is generally written by showing 225 as a product of its prime factors. For 225, this result would be:

225 = 3 x 3 x 5 x 5

(this is also known as the prime factorisation; the smallest prime number in this series is described as the smallest prime factor)

Is 225 a composite number?

Yes! 225 is a composite number. It is the product of two positive numbers other than 1 and itself.

Is 225 a square number?

Yes! 225 is a square. Its square root is an integer, specifically 15.

How many factors does 225 have?

This number has 9 factors: 1, 3, 5, 9, 15, 25, 45, 75, 225

More specifically, shown as pairs...

(1*225) (3*75) (5*45) (9*25) (15*15) (25*9) (45*5) (75*3) (225*1)

What is the greatest common factor of 225 and another number?

The greatest common factor of two numbers can be determined by comparing the prime factorization (factorisation in some texts) of the two numbers and taking the highest common prime factor. If there is no common factor, the gcf is 1. This is also referred to as a highest common factor and is part of the common prime factors of two numbers. It is the largest factor (largest number) the two numbers share as a prime factor. The least common factor (smallest number in common) of any pair of integers is 1.

How can you find the least common mulitiple of 225 and another number?

We have a least common multiple calculator here The solution is the lowest common multiple of two numbers.

What is a factor tree

A factor tree is a graphic representation of the possible factors of a numbers and their sub-factors. It is designed to simplify factorization. It is created by finding the factors of a number, then finding the factors of the factors of a number. The process continues recursively until you've derived a bunch of prime factors, which is the the prime factorization of the original number. In constructing the tree, be sure to remember the second item in a factor pair.

How do you find the factors of negative numbers? (eg. -225)

To find the factors of -225, find all the positive factors (see above) and then duplicate them by adding a minus sign before each one (effectively multiplying them by -1). This addresses negative factors. (handling negative integers)

Is 225 a whole number?

Yes.

What are the divisibility rules?

Divisibility refers to a given integer number being divisible for a given divisor. The divisibility rule are a shorthand system to determined what is or isn't divisible. This includes rules about odd number and even number factors. This example is intended to allow the student to estimate the status of a given number without computation.

Factors of Other Numbers

Next Several Numbers

• Factors of 226
• Factors of 227
• Factors of 228
• Factors of 229
• Factors of 230

And A Few Others...

• Factors of 22756
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• Factors of 50636

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