Write a 4-digit number that is divisible by both 5 and 9.

Answer: 3105 is a four digit number which is divisible by both 5 and 9. ;

Answered by IlaMends | 2024-06-11

Using the least common multiple (LCM) of 5 and 9, a 4 digit number that is divisible by both 5 and 9 is: 1,620.
How to apply least common multiple (LCM)?
To find a four-digit number that is divisible by both 5 and 9, we can determine the least common multiple (LCM) of 5 and 9, which is 45.
To calculate the smallest **four-digit multiple **of 45, we divide 10,000 by 45:
10,000 ÷ 45 = 222 remainder 10
We need to subtract the remainder from 45 to obtain a **multiple **of 45:
45 - 10 = 35
Therefore, we multiply 35 by 45 to get the smallest four-digit number divisible by both 5 and 9:
35 × 45 = 1,575
However, 1,575 is not a four-digit number.
We increase the **multiplier **to obtain a four-digit number:
36 × 45 = 1,620
Therefore, the four-digit number that is divisible by both 5 and 9 is 1,620.
Learn more about **least common multiple (LCM) **on:
https://brainly.com/question/16054958
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Answered by akposevictor | 2024-06-24

To find a 4-digit number divisible by both 5 and 9, we need to check divisibility rules. The number 1080 meets both conditions; it ends in 0 (divisible by 5) and the sum of its digits (1 + 0 + 8 + 0 = 9) is divisible by 9. Hence, 1080 is a valid solution.
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Answered by IlaMends | 2024-09-30