Uncover All the Factors of 615: Step-by-Step Guide

Question

Write all the factors of the following number: 615 615

Video Solution

Step-by-Step Solution

To find all the factors of the number 615 615 , we'll follow these steps:

  • Step 1: Start by performing prime factorization of 615 615 .
  • Step 2: Determine if 615 615 is divisible by small prime numbers.
  • Step 3: Write down all prime factors.

Let's proceed with the solution:

Step 1: Check divisibility by small primes.
Firstly, check for divisibility by 2 2 . Since 615 615 is odd, it's not divisible by 2 2 .

Step 2: Check divisibility by 3 3 . Add the digits of 615 615 (i.e., 6+1+5=12 6 + 1 + 5 = 12 ), which is divisible by 3 3 . Thus, 615÷3=205 615 \div 3 = 205 .

Step 3: Check 205 205 for divisibility by 5 5 . Because 205 205 ends in 5 5 , it is divisible by 5 5 . So, 205÷5=41 205 \div 5 = 41 .

Step 4: Check 41 41 . This is a prime number.

Thus, the prime factorization of 615 615 is 3×5×41 3 \times 5 \times 41 .

Step 5: Now, list all the prime factors of 615 615 , which are 3 3 , 5 5 , and 41 41 .

Therefore, the factors of 615 615 include exactly these prime divisors.

Hence, the solution to the problem is:

3,5,41 3, 5, 41 .

Answer

5,3,41 5,3,41