Priya says a bigger number always has more factors than a smaller number, because there's simply…

Why

Priya's instinct isn't crazy — a bigger number often does have more factors, simply because there are more numbers below it that COULD divide it evenly. But "more room" only turns into "more factors" if enough of those smaller numbers actually happen to divide in cleanly, and that's not guaranteed. Compare 36 and 37: 36 breaks apart into 1, 2, 3, 4, 6, 9, 12, 18, 36 — nine factors, because 36 is built from lots of small pieces (2×2×3×3). But 37 is prime — its only factors are 1 and 37, just two — because nothing smaller divides into it evenly at all, despite being the bigger number. Factor count depends on HOW a number is built, not how big it is; a number "made of many small pieces" (like 36) beats a bigger number that's a single solid block (like the prime 37). Arjun is right: size alone tells you nothing about how many factors a number has.