There are 301 numbers less than 904 that are divisible by 3.

Quick Scoop

Think of the positive multiples of 3:
3, 6, 9, 12, … all the way up to the largest one still less than 904.

  • The smallest positive multiple of 3 is 3.
  • The largest multiple of 3 less than 904 is 903, since 904÷3=301904\div 3=301904÷3=301 with remainder 1, and 301×3=903301\times 3=903301×3=903.
  • These multiples form an arithmetic sequence: 3, 6, 9, …, 903, with common difference 3.

To count how many terms are in this sequence, you divide the last term by 3:
9033=301\frac{903}{3}=3013903​=301.

So, 301 numbers less than 904 are divisible by 3.

Tiny story flavor

Imagine lining up numbers at a gate marked “Only multiples of 3.”
You start letting in 3, then 6, then 9, and keep going until you reach 903.
When 904 walks up, the gate scanner beeps red, so it’s turned away.
Count everyone who made it inside from 3 to 903, and you end up with exactly 301 guests.

TL;DR:
All multiples of 3 less than 904 are 3, 6, …, 903, and there are 301 of them.

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