Why does a number that has 9 as a factor also has 3 as a factor? (2024)

Why does a number that has 9 as a factor also has 3 as a factor?

Explanation: The reason that any number which has 9 as a factor also has 3 as a factor lies in the principals of factorization in mathematics. The number 9 can be prime-factorized into 3*3. Therefore, if a number is divisible by 9, it means it can be divided evenly by 9's prime factors ie., 3, twice.

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Why does a number that has 9 as a factor also have three as a factor?

Factors of 9 are those real numbers that can divide the original number evenly. Since we know that 9 is a composite number, therefore it will have factors of more than two. Also, 9 is the perfect square such that 9 = 3 x 3 = 32. Thus, we can conclude that 3 is a factor of 9.

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Which number has 3 and 9 as factors?

Both 2 and 4 are factors of 8. Both 2 and 3 are factors of 6. Both 3 and 9 are factors of 27. Both 5 and 7 are factors of 35.

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Why is every multiple of 9 also a multiple of 3?

The first five multiples of 9 are 9, 18, 27, 36, and 45. Are all multiples of 9, multiples of 3? Yes. Since 9 is divisible by 3, all multiples of 9 are also divisible by 3.

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Is 3 a factor of 9 yes or no?

When we divide 9 by 3, it is exactly divisible and leaves no remainder which means that 3 is a factor of 9. Note that 1 and the number itself are always factors of the number. Thus, the factors of 9 are 1, 3, and 9.

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Do 9 and 3 have the same factors?

There are 2 common factors of 3 and 9, and they are 1 and 3. Therefore, the Highest Common Factor of 3 and 9 is 3.

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What does 9 as a factor mean?

Factors of 9, what it really defines is that all of the positive and negative integers (whole numbers) that can be evenly divided into 9. The integer 9 has 3 factors i.e. 1, 3, and 9. If 9 is divided by any of the three factors then the answer will be a whole number. For Example, $9 \div 3 =3$.

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What type of number has 3 factors?

In the numbers from 1 to 100, there are 4 numbers that have exactly 3 factors. The numbers are 4, 9, 25, and 49. As someone else pointed out, these are squares of primes, which makes sense.

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What numbers have 3 factors?

Such numbers between 1 and 100 are 4,9,25 and 49.

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Does 9 have 3 different factors is 9 a prime number?

No, 9 is not a prime number. The number 9 is divisible by 1, 3, 9. For a number to be classified as a prime number, it should have exactly two factors. Since 9 has more than two factors, i.e. 1, 3, 9, it is not a prime number.

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Is 9 divisible by 3?

We know that 9, 99, 999,… are divisible by 3, and thus the multiples of these numbers are also divisible by 3. So, the divisibility of 4368 is now dependent on the sum 4 + 3 + 6 + 8.

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Is a multiple of 9 always divisible by 3?

Since 9 is divisible by 3, every number divisible by 9 will be also be divisible by 3. This happens because in the divisibilty test formula of 9, the sum of the digits should be divisible by 9. If this sum is divisible by 9, it automatically is divisible by 3 since 3 is a factor of 9.

Why does a number that has 9 as a factor also has 3 as a factor? (2024)
Is 9 a prime number yes or no?

Is 9 a prime number yes or no? No, 9 is not a prime number. A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers other than the pair 1 and itself. 9 can be expressed as a product of the numbers 3 and 3 as 9 = 3 x 3.

Why is 3 a factor?

The numbers that divide 3 exactly and leave a remainder value as 0 are the factors of 3. As the number 3 is the first odd prime number, it has only two factors, such as one and the number itself. Therefore, the factors of 3 are 1 and 3.

How do you know if 3 is a factor?

3 is a prime number, meaning it is divisible only by 1 and 3 itself. So the only factor is 3 (and 1). All numbers can be expressed as multiples of other numbers. If a x b make c, and c is evenly divisible by both a and b, then a and b are factors of c.

Are 3 and 9 both factors of 36?

The factors of 36 are the numbers, which are multiplied in pairs resulting in the original number 36. As the number 36 is a composite number, it has many factors other than one and the number itself. Thus, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

What is the relationship between 9 and 3?

Threes tend to trust Nines who support and encourage their ambitions. Nines should help Threes feel validated and appreciated. Nines usually trust Threes who give them to move at their own pace. Threes should avoid being overly critical of Nines.

What is the relationship between number 3 and 9?

Number 3 is ruled by Jupiter and 9 by Mars. This is a perfect relationship as number 9 is practical and number 3 is the mastermind. Both are artistic, imaginative, creative, easy going, optimistic and positive.

Does 9 have a factor?

The factors of 9 are1,3, and 9.

Does 9 have exactly 4 factors?

In fact, 9 does have exactly three factors: 1, 3, and 9. And 4 also has exactly three factors: 1, 2, and 4.

How do you find the factor of 9?

Answer and Explanation:

The factors of 9 are 1, 3, and 9. To find the factors of 9, we can test the numbers from 1 to 9 to see if they divide into 9 evenly. 9 ÷ 1 = 9, so 1 is a factor of 9. 9 ÷ 2 = 4.5, so 2 is not a factor of 9.

What numbers make 1000?

Factors of 1000: 1 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500,and 1000. Prime Factorization of 1000: 1000 = 2 × 2 × 2 × 5 × 5 × 5. What Are the Factors of 1000? How to Calculate Factors of 1000?

Does 10 have 3 factors?

Factors of 10 are the list of integers that we can split evenly into 10. There are overall 4 factors of 10 i.e. 1, 2, 5 and 10 where 10 is the biggest factor.

What is a number that has 3 or more factors called?

Composite Number. A number with more than two factors is called a composite number. Some of the examples of composite numbers include 4 , 6 , 8 , 9 , 27 , 35 , 42 and so on.

How to calculate factors?

How to Find Factors of Large Numbers? To calculate the factors of large numbers, divide the numbers with the least prime number, i.e. 2. If the number is not divisible by 2, move to the next prime numbers, i.e. 3 and so on until 1 is reached. Below is an example to find the factors of a large number.

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