Divisors of 79

Divisors are special numbers that can evenly divide another number without leaving any remainder. When we say a number is a divisor of another, we mean that if you divide the larger number by the divisor, the result will be a whole number. This article will guide you through understanding divisors in a simple way, using the number 79 as our example.

To understand divisors, we need to start with some basic concepts of division. When we divide a number, we have three main terms:

1. Dividend: This is the number we want to divide. (In our case, it’s 79.)
2. Divisor: This is the number we are dividing by.
3. Quotient: This is what we get after we perform the division.

For example, in the division of 79 by 1, we set it up like this:

79 / 1 = 79

Here, 79 is the dividend, 1 is the divisor, and 79 is also the quotient when we divide by 1.

Now, let’s see how to calculate the divisors of 79. To find all the divisors, we will divide 79 by every whole number from 1 up to 79 and see which results in a whole number.

Here’s a step-by-step guide:

1. Start with the integer 1.
2. Divide 79 by that integer.
3. Check if the result (quotient) is a whole number.
4. Move to the next integer.
5. Continue this process until you reach 79.

Now, let’s perform these divisions:

1. 79 / 1 = 79 (whole number)
2. 79 / 2 = 39.5 (not a whole number)
3. 79 / 3 = 26.33 (not a whole number)
4. 79 / 4 = 19.75 (not a whole number)
5. 79 / 5 = 15.8 (not a whole number)
6. 79 / 6 = 13.17 (not a whole number)
7. 79 / 7 = 11.29 (not a whole number)
8. 79 / 8 = 9.875 (not a whole number)
9. 79 / 9 = 8.78 (not a whole number)
10. 79 / 10 = 7.9 (not a whole number)
11. 79 / 11 = 7.18 (not a whole number)
12. 79 / 12 = 6.58 (not a whole number)
13. 79 / 13 = 6.08 (not a whole number)
14. 79 / 14 = 5.64 (not a whole number)
15. 79 / 15 = 5.27 (not a whole number)
16. 79 / 16 = 4.94 (not a whole number)
17. 79 / 17 = 4.65 (not a whole number)
18. 79 / 18 = 4.39 (not a whole number)
19. 79 / 19 = 4.16 (not a whole number)
20. 79 / 20 = 3.95 (not a whole number)
21. 79 / 21 = 3.76 (not a whole number)
22. 79 / 22 = 3.59 (not a whole number)
23. 79 / 23 = 3.43 (not a whole number)
24. 79 / 24 = 3.29 (not a whole number)
25. 79 / 25 = 3.16 (not a whole number)
26. 79 / 26 = 3.04 (not a whole number)
27. 79 / 27 = 2.93 (not a whole number)
28. 79 / 28 = 2.82 (not a whole number)
29. 79 / 29 = 2.72 (not a whole number)
30. 79 / 30 = 2.63 (not a whole number)
31. 79 / 31 = 2.54 (not a whole number)
32. 79 / 32 = 2.46 (not a whole number)
33. 79 / 33 = 2.39 (not a whole number)
34. 79 / 34 = 2.32 (not a whole number)
35. 79 / 35 = 2.26 (not a whole number)
36. 79 / 36 = 2.19 (not a whole number)
37. 79 / 37 = 2.13 (not a whole number)
38. 79 / 38 = 2.08 (not a whole number)
39. 79 / 39 = 2.03 (not a whole number)
40. 79 / 40 = 1.975 (not a whole number)
41. 79 / 41 = 1.93 (not a whole number)
42. 79 / 42 = 1.88 (not a whole number)
43. 79 / 43 = 1.83 (not a whole number)
44. 79 / 44 = 1.795 (not a whole number)
45. 79 / 45 = 1.76 (not a whole number)
46. 79 / 46 = 1.717 (not a whole number)
47. 79 / 47 = 1.68 (not a whole number)
48. 79 / 48 = 1.65 (not a whole number)
49. 79 / 49 = 1.61 (not a whole number)
50. 79 / 50 = 1.58 (not a whole number)
51. 79 / 51 = 1.55 (not a whole number)
52. 79 / 52 = 1.52 (not a whole number)
53. 79 / 53 = 1.49 (not a whole number)
54. 79 / 54 = 1.46 (not a whole number)
55. 79 / 55 = 1.44 (not a whole number)
56. 79 / 56 = 1.41 (not a whole number)
57. 79 / 57 = 1.38 (not a whole number)
58. 79 / 58 = 1.36 (not a whole number)
59. 79 / 59 = 1.34 (not a whole number)
60. 79 / 60 = 1.32 (not a whole number)
61. 79 / 61 = 1.29 (not a whole number)
62. 79 / 62 = 1.27 (not a whole number)
63. 79 / 63 = 1.25 (not a whole number)
64. 79 / 64 = 1.23 (not a whole number)
65. 79 / 65 = 1.22 (not a whole number)
66. 79 / 66 = 1.20 (not a whole number)
67. 79 / 67 = 1.18 (not a whole number)
68. 79 / 68 = 1.16 (not a whole number)
69. 79 / 69 = 1.14 (not a whole number)
70. 79 / 70 = 1.13 (not a whole number)
71. 79 / 71 = 1.11 (not a whole number)
72. 79 / 72 = 1.10 (not a whole number)
73. 79 / 73 = 1.08 (not a whole number)
74. 79 / 74 = 1.07 (not a whole number)
75. 79 / 75 = 1.05 (not a whole number)
76. 79 / 76 = 1.04 (not a whole number)
77. 79 / 77 = 1.03 (not a whole number)
78. 79 / 78 = 1.01 (not a whole number)
79. 79 / 79 = 1 (whole number)

The divisors produce whole numbers when we divide 79 by:

• 1
• 79

To conclude, the complete list of divisors of 79 is:

• 1
• 79

So, 79 has only two divisors: 1 and 79. This means that 79 is a prime number, as it is only divisible by itself and 1. Understanding divisors can help us see how numbers relate to each other and is an important part of mathematics!