Factors of 9 space the list of integers that us can split evenly right into 9. It has a full of 3 factors of i beg your pardon 9 is the greatest factor and the positive components of 9 space 1, 3 and also 9. The amount of all factors of 9 is 13 and also its components in Pairs room (1, 9) and (3, 3).
You are watching: Is 3 a factor of 9
|1.||What are determinants of 9?|
|2.||How to calculate the components of 9?|
|3.||Factors the 9 by element Factorization|
|4.||Factors of 9 in Pairs|
|6.||FAQs on factors of 9|
What are factors of 9?
When we division 9 by 3, it is exactly divisible and leaves no remainder which means that 3 is a aspect of 9. Note that 1 and the number chin are constantly factors of the number. Thus, the factors of 9 are 1, 3, and also 9.
How to calculation the determinants of 9?
Factors the 9 have the right to be calculation by the department method. In the department method, we discover the numbers which divide 9 specifically without leave a remainder.
Factors that 9 by division Method
For recognize the prime determinants of 9 by department method, we have to divide 9 by herbal numbers and also see i beg your pardon numbers exactly divide 9 and also give 0 together the remainder.Step 2: At the exact same time, as soon as we division 9 by numbers like 2 or 4, it leaves a remainder.Step 3: Try to division 9 by the above numbers and see the results.
Therefore, the determinants of 9 space 1, 3, and also 9. Explore determinants using illustrations and interactive examples:
Factors that 9 by element Factorization
In the element factorization method, we divide 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 as a product that its element factors. Us can find the prime determinants by the department method or aspect tree method.
Prime factorization of 9 by department Method
The number 9 is separated by the the smallest prime number i beg your pardon divides 9 exactly. The quotient thus acquired is then split by the the smallest or second smallest prime number and also the procedure continues it spins the quotient is equal to 1.Let us divide 9 by the element number 3, 9 ÷ 3 = 3Since 3 is the smallest odd prime number, it can not be further divided.Thus, the factors of 9 are 3 and also 9.
Prime administrate of 9 is 9 = 3 × 3.
Prime administer of 9 by aspect Tree Method
We have to discover the prime factors of 9, therefore, the root of our variable tree is 9. We need to write a pair of components as a branch the 9.
Let us see exactly how a factor tree of 9 watch like:
Here, 3 is a prime factor. Thus, the factor tree end here. Therefore, the prime factorization that 9 is 3 × 3.
Prime administer of 9 by Upside Down division Method
This method is dubbed the upside-down department method since the department symbol is flipped upside down. Here, we division 9 by the smallest prime number, that is, 3. If the given number is even, we division by 2.
We understand that 3 is the the smallest odd prime number, hence, it cannot be more divided. Therefore, 9 deserve to be expressed as 3 × 3.
Factors the 9 in Pairs
Pair factors refer to the set of 2 numbers which when multiplied provide the number as the product. Pair factors of 9 are:1 × 9 = 93 × 3 = 9
There deserve to be an unfavorable pair determinants for 9 together well. They space (-1, -9) and (-3, -3).
Important Notes:Factors that 9 space 1, 3, and 9.1 is a universal factor.Factors of a number are the numbers us multiply to get that specific number.
Factors of 9 fixed Examples
Example 1: Three students have actually 9 minute to speak about a specific topic during a competition. The time given to each one of them come speak is split amongst them equally. Exactly how much time will certainly each among them get?
There room 3 students and also 9 minutes. To divide the time equally among them, we require to identify the variable of 9 which will divide the moment equally amongst the 3 students.
Hence, we divide 9 through 3. 9 ÷ 3 = 3.
Since 3 is a aspect of 9, as soon as 3 is multiply by 3, it offers 9.
Therefore, each college student will obtain 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 uncover the components of 9. What will be his answer?
9 is a composite number. Therefore the factors of 9 room 1, 3, and 9.
Example 3: Ross is calculating the sum of all the components of 9. Deserve to you help him uncover the sum?
We know, the determinants of 9 = 1, 3, 9. Thus, the sum of every the determinants = 1 + 3 + 9 = 13
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FAQs on components of 9
What room the determinants of 9?
The components of 9 are 1, 3, 9 and also its an adverse factors are -1, -3, -9.
What is the Greatest typical Factor of 9 and also 7?
The determinants of 9 room 1, 3, 9 and the components of 7 room 1, 7. 9 and 7 have only one typical factor i beg your pardon is 1. This suggests that 9 and also 7 are co-prime.Hence, the Greatest usual Factor (GCF) of 9 and also 7 is 1.
What is the amount of the factors of 9?
All the factors of 9 space 1, 3, 9 and therefore the sum of every these components is 1 + 3 + 9 = 13
What room the Prime determinants of 9?
The prime aspect of 9 is 3.
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How plenty of Factors that 9 are additionally common to the components of 3?
Since, the determinants of 9 room 1, 3, 9 and also the determinants of 3 room 1, 3.Hence, <1, 3> room the common factors that 9 and 3.