Factors that 9 space the perform of integers that us can separation evenly right into 9. It has actually a complete of 3 components of i m sorry 9 is the biggest factor and also the positive components of 9 are 1, 3 and also 9. The sum of all components of 9 is 13 and also its factors in Pairs room (1, 9) and also (3, 3).
You are watching: What is the prime factor of 9
1. | What are determinants of 9? |
2. | How to calculation the factors of 9? |
3. | Factors that 9 by element Factorization |
4. | Factors of 9 in Pairs |
5. | Important Notes |
6. | FAQs on components of 9 |
What are determinants of 9?
When we division 9 by 3, that is specifically divisible and also leaves no remainder which way that 3 is a factor of 9. Keep in mind that 1 and also the number itself are constantly factors of the number. Thus, the determinants of 9 are 1, 3, and 9.
How to calculate the components of 9?
Factors that 9 deserve to be calculate by the division method. In the division method, we discover the number which divide 9 specifically without leave a remainder.
Factors the 9 by department Method
For recognize the prime determinants of 9 by department method, we have to divide 9 by organic numbers and see which numbers specifically divide 9 and also give 0 together the remainder.
Step 2: At the exact same time, when we divide 9 through numbers favor 2 or 4, it pipeline a remainder.Step 3: Try to division 9 by the above numbers and see the results.Therefore, the components of 9 room 1, 3, and 9. Explore determinants using illustrations and interactive examples:
Factors that 9 by element Factorization
In the prime factorization method, we division 9 by element numbers and see if that does no leave any remainder. Us then continue department with the quotient. In this way, 9 is expressed together a product that its element factors. Us can find the prime determinants by the division method or element tree method.
Prime factorization of 9 by division Method
The number 9 is split by the the smallest prime number i m sorry divides 9 exactly. The quotient thus acquired is then separated by the the smallest or second smallest prime number and the process continues till the quotient is same to 1.
Let us divide 9 by the prime number 3, 9 ÷ 3 = 3Since 3 is the the smallest odd prime number, it can not be additional divided.Thus, the components of 9 are 3 and also 9.Prime factorization of 9 is 9 = 3 × 3.
Prime administrate of 9 by element Tree Method
We have to uncover the prime determinants of 9, therefore, the root of our aspect tree is 9. We need to write a pair of components as a branch of 9.
Let us see exactly how a variable tree the 9 looks like:

Here, 3 is a element factor. Thus, the aspect tree end here. Therefore, the prime factorization of 9 is 3 × 3.
Prime administrate of 9 through Upside Down department Method
This technique is dubbed the upside-down division method since the department symbol is flipped upside down. Here, we division 9 by the smallest prime number, the is, 3. If the given number is even, we divide by 2.

We understand that 3 is the the smallest odd element number, hence, it can not be additional divided. Therefore, 9 deserve to be expressed as 3 × 3.
Factors the 9 in Pairs
Pair components refer come the collection of 2 numbers which as soon as multiplied give the number together the product. Pair factors that 9 are:
1 × 9 = 93 × 3 = 9
There have the right to be an adverse pair determinants for 9 together well. They are (-1, -9) and (-3, -3).
Important Notes:
Factors that 9 room 1, 3, and also 9.1 is a universal factor.Factors of a number room the numbers us multiply to gain that particular number.Factors of 9 addressed Examples
Example 1: Three students have 9 minutes to speak about a details topic throughout a competition. The time offered to each among them come speak is split among them equally. Exactly how much time will certainly each among them get?
Solution:
There space 3 students and also 9 minutes. To divide the time equally among them, we require to recognize the element of 9 which will divide the time equally among the 3 students.
Hence, we divide 9 by 3. 9 ÷ 3 = 3.
Since 3 is a factor of 9, when 3 is multiply by 3, it gives 9.
Therefore, each college student will gain 3 minutes to speak around the topic.
Example 2: Nick was play a math game with his friends. In the game, he to be asked to find the components of 9. What will be his answer?
Solution:
9 is a composite number. As such the determinants of 9 are 1, 3, and also 9.
Example 3: Ross is calculating the sum of every the factors of 9. Have the right to you assist him discover the sum?
Solution:
We know, the factors of 9 = 1, 3, 9. Thus, the amount of all the determinants = 1 + 3 + 9 = 13
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FAQs on determinants of 9
What are the determinants of 9?
The factors of 9 room 1, 3, 9 and also its an unfavorable factors space -1, -3, -9.
What is the Greatest usual Factor the 9 and also 7?
The factors of 9 space 1, 3, 9 and the determinants of 7 space 1, 7. 9 and also 7 have only one usual factor i m sorry is 1. This implies that 9 and 7 space co-prime.Hence, the Greatest typical Factor (GCF) the 9 and also 7 is 1.
What is the sum of the components of 9?
All the factors of 9 space 1, 3, 9 and therefore the amount of every these components is 1 + 3 + 9 = 13
What room the Prime components of 9?
The prime aspect of 9 is 3.
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How plenty of Factors the 9 are likewise common to the determinants of 3?
Since, the factors of 9 space 1, 3, 9 and the factors of 3 space 1, 3.Hence, <1, 3> are the usual factors of 9 and 3.