Question

any composite number can be written as the product of ....... number​

Answer 1

Any composite number can be written as the product of prime numbers.

Step-by-step explanation:

• Composite numbers are numbers that are not prime numbers. They are divisible by factors other than 1 and themselves.

For example: 4 is the product of 2 and 2. Therefore, 4 has a factor other than 1 and 4 itself. Thus, 4 is a composite number.

⇒Now, let us take the composite number 60.

• Since 60 is an even number, it is divisible by 2.
• Therefore, we can write 60 as the product of 2 and 30
• Now, 30 is also an even number that has the digit 0 at the unit's place.
• Therefore, 30 is also divisible by 2.
• We can write 30 as the product of 15 and 2.
• Thus, we can write 60 as the product of 2, 2, and 15
• Now, we know that 15 is the product of 3 and 5.
• We can write 15 as the product of 3 and 5.
• Thus, we can write 60 as the product of 2, 2, 3, and 5.
• Here, 2, 3 and 5 are prime numbers.

• Therefore, we can express 60 as the product of the prime numbers 2, 2, 3, and 5.

Similarly, every composite number can be expressed as a product of prime numbers.