1. Find all the factors of the numbers below:
(1) 256 (ii) 625 (iii) 243 (iv) 343 (v) 121
2. Which are the numbers between 1 and 100 having exactly
three factors?
Answers
The numbers between 1 and 100 have exactly three factors, 4, 9, 25, and 49.
Given:
(1) 256 (ii) 625 (iii) 243 (iv) 343 (v) 121
To find:
All the factors of the numbers and the numbers between 1 and 100 have exactly three factors.
Solution:
Factors:
In math, a factor is a value of a number that divides another number completely without leaving a remainder.
For example, Factors of 6 = 3, 2
Factors of given numbers are
(1) 256 = 1, 2, 4, 8, 16, 32, 64, 128, 256
(ii) 625 = 1, 5, 25, 125, 625
(iii) 243 = 1, 3, 9, 27, 81, 243
(iv) 343 = 1, 7, 49, 343
(v) 121 = 1, 11, 121
2. The numbers between 1 and 100 have exactly three factors are
There are 4 numbers between 1 and 100 that have exactly 3 factors.
They are 4, 9, 25, and 49.
=> Factors of 4, are 1, 2, 4.
=> Factors of 9, are 1, 3, 9.
=> Factors of 25, are 1, 5, 25.
=> Factors of 49, are 1, 7, 49.
Therefore,
The numbers between 1 and 100 have exactly three factors, 4, 9, 25, and 49.
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