7. Factors
1. Write properties of
(a) factors (b) prime numbers (c) composite number (d) multiples
2. Fill in the blanks.
(a) The smallest prime number is ________.
(b) A prime number cannot be divided exactly by any other number other than _______
and itself.
(c) The only even prime number is _______.
(d) ______ and ______ are neither prime nor compostie numbers.
(e) Factorization means writing a number as a ______________ of its factors.
(f) We can write every composite number as a product of factors that are
____________ numbers. This is called _____________ factorization.
(g) The biggest factor that is common to all given numbers is called
___________________ of the given numbers.
(h) Multiple of a number = __________ x any counting number
(i) The smallest multiple that is common to all given numbers is called the ____________
of the given numbers.
3. Write two methods of factorization for obtaining prime factors.
4. Write down the factors of the following numbers
(a) 48 (b) 90
5. Make a factor tree for the following numbers.
(a) 96 (b) 40
6. Find the common factors of the following numbers.
(a) 6 and 18 (b) 20, 35 and 60
7. Write the first 100 prime numbers.
8. Write 'true' or 'false'.
(a) The smallest prime number is 1
(b) 87 is a prime number
(c) The smallest factor of every number is 1.
9. Express the following composite numbers as a product of their prime factors.
Use division method.
(a) 124 (b) 275
10. Write the difference between multiples and factors.
11. Write the multiples as directed.
(a) First four multiples of 7 _______________.
(b) Fifth multiple of 8 _________________.
(c) Eleventh multiple of 6 _______________.
12. Circle those which are not the multiples of the numbers given in words.
(a) four 8 12 14 16 18 20 22
(b) twelve 26 36 48 17 94 108 121
13. Skip count to complete the following sequence
(a) multiples of 5 25, 30, 35, _____, _____, _____, _____
(b) multiple of 8 40, 48, 56, _____, _____, _____, _____
(c) multiples of 13 26, 39, 52, _____, _____, _____, _____,
14. Find two common multiples of the following numbers.
(a) 5,7 (b) 3, 6, 9
15. Which of the following numbers are divisible by 2?
(a) 83 (b) 132 (c) 443
16. Which of the following numbers are divisible by 3?
(a) 317 (b) 442 (c) 906
17. Which of the following numbers are divisible by 5?
(a) 160 (b) 384 (c) 295
18. Which of the following numbers is divisible by 10?
(a) 100 (b) 209 (c) 780
19. Find three common multiples of the following numbers.
(a) 3, 4 and 6 (b) 10, 15 and 20
20. Write first 6 multiples of the following numbers.
(a) 11 (b) 12
21. Complete the following sequence.
(a) 18, 22,26, 30, _____, _____, _____,
(b) 15, 20, _____, _____, _____, 40, _____,
22. Find the following factors.
(a) Factors of 15 = __________________
Factors of 36 = __________________
Common factors of 15 and 36 = __________________
23. Is 246 a multiple of 8?
24. Which of these numbers 84, 215, 306, 825 are divisible by the given numbers?
(a) 2 (b) 3 (c) 5 (d) 10
25. Express (a) 90 (b) 117 as the product of their prime factors.
26. Write the first five even multiples of 4.
27. Write the first five odd multiples of 11.
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