Math · Stage 5
Test divisibility by 8 using the last three digits
Eight hides in every thousand — so ignore all the big digits and test only the last three. Divide those by 8, or halve them three times, and you know in a blink.
✦ Math📘 Stage 5 · S5⏱ ~10 min🧒 Ages 9–10★ Free to start
I can test divisibility by 8 using the last three digits.
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Kavi's Three-Digit Key 🔑
Kavi never does giant long division to see if a number splits into 8s! "Here's my trick 🔑," hoots Kavi. "Eight hides in every thousand — 1,000 = 8 × 125 — so I ignore all the big digits and only test the last three. Divide those by 8, or halve them three times, and I know in a blink ⚡."
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What your child will learn
1Know your eights firstA number is divisible by 8 when it shares out into equal groups of eight with nothing left over. The lit numbers are the eights: 8, 16, 24, 32, 40, 48… Learn these by heart — they are the building blocks of every bigger test.
2Split off the thousandsWatch why only three digits matter. Split 7,376 into its thousands and its last three digits: 7,000 + 376. Tap Step → to rebuild it.
3Two ways to test the last three digitsOnce you have the last three digits, you have a choice of two quick checks. Tap each card to see how it works on 376.
4Divisible by 8, or not?Use the three-digit key: test only the last three digits. Tap Yes, ÷8 if the number is divisible by 8, or No if it is not.
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A peek inside
Is 376 divisible by 8?
test the last three digits → 376 ÷ 8 = 47 (or halve: 376 → 188 → 94 → 47, all whole)
Try this at home: To test divisibility by 8, how many end digits do you look at?
Ready to play and learn?
Start the free interactive lesson, or print the handout for screen-free play.
Part of Math · Stage 5 · S5 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.