Study Guides/Maths/Why 13233343563715 is a Composite Number
Study Guide · Maths

Explain Why 13233343563715 is a Composite Number

The number 13233343563715 is a composite number because it ends in the digit 5, which means it is divisible by 5. Any number (other than 5 itself) that is divisible by 5 has more than two factors and is therefore composite, not prime.

Question (Click to Flip)

Explain why 13233343563715 is a composite number.

Answer

13233343563715 is a composite number because it ends in the digit 5. By the divisibility rule of 5, any number ending in 0 or 5 is divisible by 5. Therefore: 13233343563715 ÷ 5 = 2646668712743. This means it has factors other than 1 and itself (specifically: 1, 5, 2646668712743, and 13233343563715). Having more than 2 factors makes it composite, not prime.

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Key Facts

13233343563715 is composite because it ends in 5 → divisible by 5.

Divisibility rule of 5: last digit is 0 or 5.

13233343563715 = 5 × 2646668712743.

Composite number: more than 2 factors (divisible by something other than 1 and itself).

Any number ending in 5 (except 5 itself) is composite.

5 is the only prime number that ends in 5.

Why 13233343563715 is Composite — Step-by-Step Explanation

Definition: • Prime number: a number greater than 1 that has exactly 2 factors — 1 and itself • Composite number: a number greater than 1 that has more than 2 factors (divisible by at least one number other than 1 and itself)

Step 1: Observe the last digit of 13233343563715 → Last digit = 5

Step 2: Apply the Divisibility Rule of 5 → A number is divisible by 5 if its last digit is 0 or 5. → 13233343563715 ends in 5 → it is divisible by 5.

Step 3: Conclude → 13233343563715 ÷ 5 = 2646668712743 → So 13233343563715 = 5 × 2646668712743 → It has factors other than 1 and itself → it is COMPOSITE.

Factors of 13233343563715 include at least: 1, 5, 2646668712743, 13233343563715 (i.e., more than 2 factors → composite)

Key Principle: Any whole number that ends in 0 or 5 (other than 5 itself) is always divisible by 5 and therefore always composite.

Similar Examples: • 15 ends in 5 → 15 = 3 × 5 → composite • 25 ends in 5 → 25 = 5² → composite • 1000000000005 ends in 5 → divisible by 5 → composite • Any number ending in 0 → divisible by 2, 5, and 10 → composite

Exception: The number 5 itself ends in 5 but is PRIME (only factors: 1 and 5).

Questions and Answers

Explain why 13233343563715 is a composite number.+

13233343563715 is a composite number because it ends in the digit 5. By the divisibility rule of 5, any number ending in 0 or 5 is divisible by 5. Therefore: 13233343563715 ÷ 5 = 2646668712743. This means it has factors other than 1 and itself (specifically: 1, 5, 2646668712743, and 13233343563715). Having more than 2 factors makes it composite, not prime.

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