1.11 Prime factorisations
Select all the prime numbers from each of these lists:
3, 10, 12, 4, 5, 6
14, 7, 15, 16, 13, 11
21, 19, 27, 17, 22, 1
A number has the following factor tree:
What is this number at the top of the tree?
A number has the following factor tree:
What is this number at the top of the tree?
Construct a factor tree for the following numbers:
Which of the following shows a correct prime factorisation in expanded form?
175 = 35 \times 5
20 = 2 \times 2 \times 5
286 = 2 \times 7 \times 11
27 = 3^{3}
Which of the following shows a correct prime factorisation in index form?
36 = 2 \times 2 \times 2 \times 3
770 = 3^{2} \times 55
200 = 2^{3} \times 5^{2}
21 = 3^{2} \times 7
Write the following values as a product of prime factors in expanded form:
Write the following values as a product of prime factors in index form:
For the following values:
Write as a product of prime factors in expanded form.
Using your answer from part (i), list all the factors.
12
35
List all the factors of 100.