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The Lumenary

Practice · Grades 3–5

Factors, multiples and primes

Factors, multiples and primes

Warm-upHuman

List all the factors of 3636, separated by commas.

Write elements separated by commas. Order and repeats don’t matter — just like in a set!

Factors, multiples and primes

Warm-upHuman

Which sentence is true?

Choose one

Factors, multiples and primes

Warm-upHuman

Is the number 11 prime, composite, or neither?

Choose one

Factors, multiples and primes

CoreHuman

Which of these numbers are prime? (Choose all that apply.)

Choose all that apply

Factors, multiples and primes

CoreHuman

What is the greatest common factor of 2424 and 3636?

Factors, multiples and primes

CoreHuman

In Nairobi, one bus leaves the station every 44 minutes and another every 66 minutes. Both leave together right now. After how many minutes do they next leave together?

Factors, multiples and primes

CoreHuman

Which of these writes 8484 as a product of primes?

Choose one

Factors, multiples and primes

CoreHuman

Use the digit-sum test. Which of these numbers are divisible by 99? (Choose all that apply.)

Choose all that apply

Factors, multiples and primes

CoreFormal

Lean writes b ∣ a to mean "bb is a factor of aa", that is, a=b×ka = b \times k for some kk. Which Lean statement says that 33 is a factor of 1212?

Choose one

Factors, multiples and primes

StretchComputational

Write is_prime(n) that returns True if n is prime and False otherwise. Try every possible factor d from 2 upwards, but stop as soon as d * d > n (the lesson explains why that is enough). The starter uses the mistaken idea that odd numbers are prime, so the tests fail.

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