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Determine if 25110 is divisible by 45 Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9.
Answer: Yes, 25110 is divisible by 45
If a number 'a' is divisible by all the prime factors of 'b', then 'a' is divisible by 'b'
Let's find the prime factorization of 45
Prime factorization of a number means to express the number as the product of prime factors.
45 = 3 × 3 × 5
So, 45 = 5 × 9
Let's check if 25110 is divisible by 5
Since, 25110 has 0 as its unit digit therefore, 25110 is divisible by 5 (If a number has 0 or 5 as it's unit digit the, the number is divisible by 5)
Now, let's check if 25110 is divisible by 9
Let's find the sum of the digits
2+5+1+1+0 = 9
Since, 9 is divisible by 9
Therefore, 25110 is also divisible by 9 (If the sum of all the digits of a given number is a multiple of 9, the given number is also a multiple of 9)
Since, 25110 is divisible by both 5 and, it is divisible by 45
Thus, 25110 is divisible by 45