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VerLearn Tamil through proverbs, poetry and play.
Core skills · Level 6

Factors & Primes

Rectangle maker, prime hunt, LCM and HCF.

Learn with Kutty

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Learn with Kutty
The idea

Break a number into prime building blocks, then use them to find HCF and LCM.

6023021535

Look: Keep splitting until every branch ends in a prime (circled). 60 = 2 × 2 × 3 × 5.

✏️ Your turn!

Type your answer and press Check. Kutty will tell you if it is right.

  1. 1Write 84 as primes.

  2. 2HCF of 24 and 36?

  3. 3LCM of 4 and 6?

! Careful!

  • ✗Saying the HCF of 12 and 18 is 36.

    ✓HCF is small (here 6). LCM is big (36).

  • ✗Stopping a factor tree at 4.

    ✓Keep going until every end is prime.

See the whole lesson on one page

Break a number into prime building blocks, then use them to find HCF and LCM.

HCF is the biggest number that divides both. LCM is the smallest number both go into. HCF uses the shared bricks. LCM uses all the bricks.

Think of it like thisEvery number is built from prime bricks, like LEGO. 60 is built from 2, 2, 3 and 5.

HCF
Highest common factor.
LCM
Lowest common multiple.
6023021535
Keep splitting until every branch ends in a prime (circled). 60 = 2 × 2 × 3 × 5.

Solved together

Question

One bell rings every 12 minutes, another every 18. They ring together at 9:00. When do they ring together next?

  1. Break both into primes.

    12 = 2 × 2 × 318 = 2 × 3 × 3
  2. Put shared bricks in the middle.

    U121822 × 33
    U121822 × 33
  3. LCM: multiply every brick in the picture.

    2 × 2 × 3 × 3 = 36
  4. They ring together every 36 minutes.

    9:00 + 36 min = 9:36

AnswerAt 9:36.

Now practise it

Kanakku makes new questions on factors & primes every time. It shows the working and gives a hint when you are stuck.

Play and practise