MathsFreePrintable

Factors and Place Value Fun

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Factors and Place Value Fun worksheet preview

Factors and Place Value Fun

Factors and Place Value illustration

🔢 Part 1: Number Ordering & Place Value

1. Write the digit in the place asked for each number below.

a) 47,382 — What digit is in the thousands place? _____

b) 906,154 — What digit is in the ten-thousands place? _____

c) 253,807 — What is the value of the digit 5? _____________

2. Order these numbers from smallest to largest.

84,302    84,023    840,320    8,432    84,230

3. Circle the number that is closest in value to 500,000.

49,999

498,750

500,900

510,000

4. Write this number in expanded form.

365,204 = _____________________________________________

🧩 Part 2: Factor Pair Puzzles

5. Complete the factor pair table for each number.

a) Factor pairs of 36:

1 × _____    2 × _____    3 × _____    4 × _____    6 × _____

b) Factor pairs of 48:

1 × _____    2 × _____    3 × _____    4 × _____    6 × _____    8 × _____

6. Which of the following are factors of 60? Tick all that apply.

4

7

12

15

9

20

7. I am a number between 20 and 30. I have exactly 4 factors. What number could I be?

My answer: _____    My factors are: _____, _____, _____, _____

8. Match each number to its correct number of factors.
12
7
25
16
3 factors
5 factors
2 factors
6 factors

💬 Part 3: Mathematical Reasoning

9. Aroha says, "Every even number has 2 as a factor." Do you agree? Explain your thinking using an example.
10. Tama writes the number 308,625. He says the digit 8 has a value of 8,000. Is he correct? Explain how you know.
11. Create your own factor puzzle! Write a number between 1 and 100, list all its factors, then write one clue a friend could use to guess your number.

My number: _____    Factors: _________________________________

My clue: ___________________________________________________________

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