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Maths · Grade 4 · Set C
Factors up to 100
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C
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Goal: 15 min
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Remember: Factors come in pairs, but a pair like 6 × 6 gives only one factor. A prime has exactly two factors. A multiple is on the number's times table.

Partners and multiples

1
54 tiles are in 6 equal rows. How many tiles are in each row? 6 × = 54
2
Look at the table of rectangles that 36 tiles make. 4 × = 36
3
Is 48 a multiple of 6?
YesNo
4
Mr. Lee has 42 chairs. He wants equal rows with none left over. Which number of rows can he NOT make?
7 rows6 rows5 rows3 rows
5
Clue: I am a multiple of 7, a factor of 56, and more than 8 and less than 20. What number am I?

How many factors?

6
The table shows the rectangles 36 tiles can make. How many factors does 36 have?
7
49 tiles make a square, 7 rows of 7. How many factors does 49 have?
8
Which is NOT a factor pair of 30?
4 × 83 × 105 × 6
9
Which number is prime?
21332939
10
91 is a prime number.
TrueFalse
11
Put the numbers in order from the fewest factors to the most factors.
  • 13
  • 49
  • 36
  • 30
12
Join each number to how many factors it has.
  1. 17
  2. 225
  3. 316
  4. 424
  • A2 factors
  • B5 factors
  • C3 factors
  • D8 factors
13
Pip says every even number is composite. Is Pip right? Write what you know about the number 2.
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Answer key · Set C
Factors up to 100
19 Count one row: 9 tiles. 6 × 9 = 54.
29 36 split into 4 equal rows is 9 in a row, because 4 × 9 = 36.
3Yes 6 × 8 = 48, so 48 is on the 6 times table.
45 rows 42 ÷ 7 = 6, 42 ÷ 6 = 7 and 42 ÷ 3 = 14. But 5 × 8 = 40 and 5 × 9 = 45, so 5 is not a factor of 42.
514 The multiples of 7 between 8 and 20 are 14 only. 56 ÷ 14 = 4, so 14 is a factor of 56.
69 The factors are 1, 36, 2, 18, 3, 12, 4, 9 and 6. The pair 6 × 6 gives only one new factor, so there are 9.
73 The factors are 1, 7 and 49. The pair 7 × 7 gives only one factor.
84 × 8 4 × 8 = 32, not 30. 3 × 10 and 5 × 6 both make 30.
929 21 = 3 × 7, 33 = 3 × 11 and 39 = 3 × 13. Only 29 has just two factors, 1 and 29.
10False 7 × 13 = 91, so 91 has factors other than 1 and 91. It is composite.
111, 2, 4, 3 13 has 2 factors, 49 has 3, 30 has 8 and 36 has 9.
121-A, 2-C, 3-B, 4-D
13Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.