by Guest » Sun May 28, 2017 7:27 pm
2) Factors of a number when multiplied together will equal to the number. e.g. Factors of 4 are 1, 2, 4 because 1 x 4 = 4 and 2 x 2 = 4
To list factors you usually order them from least to greatest. If a factor needs to be squared to get to the number, then you just list that factor once.
16 = 1, 2, 4, 8, 16
17 = 1, 17
24 = 1, 2, 3, 4, 6, 8, 12, 24
9 = 1, 3, 9
36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
3) The prime numbers only have two factors, one and itself. In this case, it would be the number 17 (problem 2). And square numbers are resulted when one factor is multiplied by itself (something like (factor)^2) to get to the square number. In this case, they would be 16, 9, 36. Notice that for the list of factors for 16, 4 is listed by itself with no other factor pair. Similarly, 36 has 6 and 9 has 3.
Best of luck,
A. Bourbon-Penthièvre
A vaincre sans peril, on triomphe sans gloire. -Pierre Corneille