Did you recognize that the number 300 is an also composite number derived by the product of three prime numbers 2, 3, and also 5? In this lesson, we will certainly calculate the factors of 300, the prime determinants of 300, and the components of 300 in pairs along with solved examples for a much better understanding.

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Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and also 300Prime administer of 300: 300 = 22 × 3 × 52
1.What space the determinants of 300?
2.How to Calculate determinants of 300?
3.Factors of 300 by element Factorization
4.Factors the 300 in Pairs
5.FAQs on components of 300

What space the determinants of 300?

The determinants of 300 will be any number i beg your pardon on splitting 300 leaves no remainder. Since 300 is a composite number, it will certainly have much more than 2 factors. 300 has a complete of 18 factors.

Factors the 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.

How to calculate the factors of 300?

We deserve to calculate the factors of 300 by the department method. In this method, we divide the number through all feasible numbers that deserve to divide the completely.

In considering numbers that can division 300 without remainders, we begin with 1, then examine 2, 3,.. up come 150 (which is exactly half of 300).

Numbers dividing 300Factors of 300
300/1 = 300Gives remainder 0. Hence, 1 is a factor.
300/2 = 150Gives remainder 0. Hence, 2 is a factor.
300/3 = 100Gives remainder 0. Hence, 3 is a factor.
300/4 = 75Gives remainder 0. Hence, 4 is a factor.
300/5 = 60Gives remainder 0. Hence, 5 is a factor.
300/6 = 50Gives remainder 0. Hence, 6 is a factor.
300/10 = 30Gives remainder 0. Hence, 10 is a factor.
300/12 = 25Gives remainder 0. Hence, 12 is a factor.
300/15 = 20Gives remainder 0. Hence, 12 is a factor.
300/20 = 15Gives remainder 0. Hence, 20 is a factor.
300/25 = 12Gives remainder 0. Hence, 25 is a factor.
300/30 = 10Gives remainder 0. Hence, 30 is a factor.
300/50 = 6Gives remainder 0. Hence, 50 is a factor.
300/60 = 5Gives remainder 0. Hence, 60 is a factor.
300/75 = 4Gives remainder 0. Hence, 75 is a factor.
300/100 = 3Gives remainder 0. Hence, 100 is a factor.
300/300 = 1Gives remainder 0. Hence, 300 is a factor.

Hence, the factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and also 300.

Explore components using illustrations and also interactive examples

Tips and Tricks:

Prime factorization of 300 = 2 × 2 × 3 × 5 × 5 = 22 × 3 × 52To gain the complete numbers of factors of 300:Add one come the exponent of 2, 1, and also 5 and also multiply their sums.(2 + 1) × (1 + 1) × (2 + 1) = 3 × 2 × 3 = 18Thus, 300 has 18 factors and are as follows: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and also 300.

Factors that 300 by prime Factorization

Prime factorization of a number refers to representing a number in the form of the product of its element factors. Prime determinants of any type of number deserve to be found out through the following methods:

Method 1: department method

Let us uncover the prime determinants of 300 by the division method.First division the number 300 through the smallest prime number, i.e. 2.

300/2 = 150

Again, divide 150 by 2.

150/2 = 75

2 can not be a aspect in this case, therefore let"s consider the next prime number which can totally divide 75, i.e. 3.

75/3 = 25

Now relocating to the next prime number which have the right to completely divide 25, i.e. 5.

25/5 = 5

Again, divide 5 through 5.

5/5 = 1

We have actually received 1 at the finish and we cannot proceed further with the division method.Thus, the prime factorization of 300 is 2 × 2 × 3 × 5 × 5 = 22 × 3 × 52 where 2, 3, and 5 are the prime numbers.

Method 2: variable tree

A element tree is a special branching diagram where we find the determinants of the given number step-by-step, then the factors of those resultant numbers, till we cannot element them further. At the end of the branches the the factor-tree, us get all the prime determinants of the initial number.

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Hence, the prime factorization of 300 is written as 2 × 2 × 3 × 5 × 5 or 22 × 3 × 52Now the we have actually done the element factorization that 300, we have the right to multiply the numbers and obtain the various other factors. Have the right to you shot and uncover out if all the factors are spanned or not?And together you might have already guessed, because that prime numbers, there space no other factors.

Factors that 300 in Pairs

Pair components of the number 300 room the whole numbers which provide the original number, i.e. 300, once they room multiplied. Pair factors can be either optimistic or negative but never ever a portion or decimal number.

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There room 18 pair factors of 300. The positive pair determinants of 300 room as follows: 

Product that NumbersPositive Pair Factors
 1 × 300 = 300(1, 300)
 2 × 150 = 300(2, 150)
3 × 100 = 300(3, 100)
4 × 75 = 300(4, 75)
5 × 60 = 300(5, 60)
6 × 50 = 300(6, 50)
10 × 30 = 300(10, 30)
12 × 25 = 300(12, 25)
15 × 20 = 300(15, 20)

The negative pair components of 300 room as follows: 

Product that NumbersNegative Pair Factors
-1 × -300 = 300(-1, -300)
-2 × -150 = 300(-2, -150)
-3 × -100 = 300(-3, -100)
-4 × -75 = 300(-4, -75)
-5 × -60 = 300(-5, -60)
-6 × -50 = 300(-6, -50)
-10 × -30 = 300(-10, -30)
-12 × -25 = 300(-12, -25)
-15 × -20 = 300(-15, -20)

Important Notes:

Only totality numbers and also integers have the right to be converted to factors.Only composite numbers can have an ext than 2 factors.Every element of a given number is either much less than or same to the given number.