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Subjects>Math>Math & Arithmetic

Why don't all even numbers have only even numbers for factors?

Anonymous

∙ 12y ago

Updated: 12/8/2022

Because an even number times an odd number is an even number.

Any even number multiplied by an odd number produces another even number. So

the odd number that you multiplied by becomes a factor of the bigger even number.

3 x 2 = 6

6 is an even number, but one of its factors is 3 .

Wiki User

∙ 12y ago

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Q: Why don't all even numbers have only even numbers for factors?

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Continue Learning about Math & Arithmetic

What kind of numbers only have even factors?

even numbers

Do only square numbers have an even number of factors?

No, only square numbers have an odd number of factors.

Do all even numbers have only even numbers as factors?

No. 24 has 3 as a factor. 30 has 15 as a factor.

What numbers has only two factors?

Numbers with only two factors, the number itself and one, are called prime numbers. Examples of prime numbers are 2 (which is the only even prime number) and 17.

Why do all numbers other than square numbers have an even number of factors?

Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.

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Related Questions

What kind of numbers only have even factors?

even numbers

Do only square numbers have an even number of factors?

No, only square numbers have an odd number of factors.

Are prime numbers factors of other numbers?

Yes, prime factors exist of other numbers only. Prime numbers themselves dont have any factors other than 1 and themselves.

If the product of 2 numbers is even do the 2 factors have to be even?

No. the factors may be both even but only one of them needs to be.

Do all even numbers have only even numbers for factors?

At least one of the factors of an even number must be even, because the product of odd factors is always odd.

Do all even numbers have only even numbers as factors?

No. 24 has 3 as a factor. 30 has 15 as a factor.

What are the prime and even numbers?

The only even number that is prime is 2. No other even numbers can be prime because 2 is a factor of them. Prime numbers can have only two factors: 1 and itself.

What numbers has only two factors?

Numbers with only two factors, the number itself and one, are called prime numbers. Examples of prime numbers are 2 (which is the only even prime number) and 17.

Is two the only prime number?

no. 2 is the only even prime number. Prime numbers are numbers that only have two factors; one and itself. E.g. The number 7 only has two factors- 1x7=7. 2 is a factor of all even numbers, therefore no other even numbers are prime. They are composite. 2, however, is a prime number, as it's only factors are itself (2) and 1.

Is an even number composite?

All even numbers are composite numbers except 2 which is the only even prime number because it has only two factors which are itself and one.

Are the greatest common factors of 2 even numbers awlways even?

yes because even numbers only go into 2 4 6.....

Will a prime number always have an odd numbers of factors?

All prime numbers have only 2 factors which are themselves and one. Al prime numbers are odd numbers except for 2 which is the only even prime number.

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