SEAGReady
NumberP6 level17 questions in the full course

Prime NumbersSEAG Practice Questions

Understanding that prime numbers have exactly two factors (1 and itself), identifying primes up to 100.

Where your child meets this in real life: Understanding factors, cryptography basics, and number theory puzzles

What your child needs to know

SEAGReady breaks prime numbers into 2 steps, taught in order so each skill builds on the last.

  1. 1

    Definition & Primes to 20

    Understand that prime numbers have exactly two factors (1 and itself), and identify all primes from 2 to 20

  2. 2

    Testing Primes to 100

    Test whether larger two-digit numbers are prime by systematic divisibility checking

Try these SEAG-style questions

Three free sample questions from our prime numbers course. Every question comes with a full explanation, and hints that guide without giving the answer away.

Question 1Confidence builder

Sean is learning about prime numbers. His teacher asks him to check whether 7 is prime by listing its factors. What are the factors of 7?

Answer choices for question 1
Question 2Confidence builder

Noah wants to check if 51 is prime. He tests if it divides by small primes. The digit sum of 51 is 5 + 1 = 6. Since 6 is divisible by 3, what can Noah conclude?

Answer choices for question 2
Question 3Confidence builder

Sinead needs to decide if 13 is a prime number. She lists its factors as 1 and 13. Is 13 prime?

Answer choices for question 3

Try the lesson: Definition & Primes to 20

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

Poppy is learning about special numbers. Her teacher asks her to decide whether 11 is a prime number.

Is 11 a prime number? Explain by listing its factors.

11 = ? x ?

Find all the factors
1

Try dividing 11 by each number from 1 upwards

Step 1 of 4

Prefer to read? See every step written out

Poppy is learning about special numbers. Her teacher asks her to decide whether 11 is a prime number.

Is 11 a prime number? Explain by listing its factors.

  1. 1

    Find all the factors

    • Try dividing 11 by each number from 1 upwards
    • 11 divides by 1 and 11 only11 = 1 x 11
  2. 2

    Apply the prime definition

    • Count the factors: 1 and 11
    • Exactly two factors means prime!

11 is a prime number because it has exactly two factors: 1 and 11.

The key insight: Prime means exactly TWO factors - that's why 1 is not prime (only one factor)!

Common mix-up: 1 is a prime number. 1 only has one factor (itself), but primes need exactly two different factors.

Mistakes to watch for

These are the misconceptions we see most often in prime numbers, including the ones our practice questions are specifically designed to catch.

  • Thinking 1 is prime (it only has one factor)
  • Thinking all odd numbers are prime
  • Forgetting that 2 is the only even prime

Build these skills first

Struggling with prime numbers? The real gap is often in one of these earlier topics.

More number practice

17 questions on this topic alone

Master prime numbers and everything it unlocks

SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.

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