Page 21 - NUMINO Challenge_D2

Type 2-1 Number of Factors

Find the smallest number that has nine factors.

1 When finding the prime factorization of the given number and expressing it
in Am Bn form, the number of factors is (m 1) (n 1). If the number 9 is
expressed in (m 1) (n 1) form, find all the correct numbers for m and n.

2 The following shows the method to find a number that has nine factors
using a table when m 8 and n 0. What should be the value of A in
order to find the smallest number that has nine factors?

1 A A2 A3 A4 A5 A6 A7 A8
1

3 The following shows the method to find a number that has nine factors
using a table when m 2 and n 2. What should be the values of A and B
in order to find the smallest number that has nine factors?

1 A A2
1
B
B2

4 What is the smallest number that has nine factors?

18 NUMINO Challenge D2