Chapters

## Exercise 1

Determine all of the multiples of 17 that exist between 800 and 860.

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## Exercise 2

For the following numbers: 179, 311, 848, 3,566, 7,287, indicate which are prime and which composite numbers.

## Exercise 3

Determine, using a table, all the prime numbers between 400 and 450.

## Exercise 4

Factor the following numbers:

1. 216
2.  360
3.  432

## Exercise 5

Factor 342 and determine its number of divisors.

## Exercise 6

Factor the following numbers:

1. 2,250
2. 428 and 376
3. 3,500
4. 2,520

## Exercise 7

Calculate the greatest common divisor (GCD) and the lowest common multiple (LCM) of the following numbers:

1. 148 and 156
2. 600 and 1,000

## Exercise 8

Calculate the greatest common divisor (GCD) and the lowest common multiple (LCM) of the following numbers:

1. 72, 108 and 600
2. 1,048, 786 and 3,930
3. 3,120, 6,200 and 1,864

## Exercise 9

Determine, using the Euclidean algorithm, the greatest common divisor (GCD) of the following:

1. 72 and 16
2. 656 and 848
3. 1,278 and 842

## Solution of exercise 1

Determine all of the multiples of 17 that exist between 800 and 860.

816, 833, 850

## Solution of exercise 2

For the following numbers: 179, 311, 848, 3,566, 7,287, indicate which are prime and which composite numbers.

Prime numbers: 179 and 311 because each has only two multiples, 1 and the number itself.

Composite numbers : 848, 3,566 and 7,287. These numbers have more than two multiples, so we have categorized them as composite numbers.

## Solution of exercise 3

Determine, using a table, all the prime numbers between 400 and 450.

 401 409 419 421 431 433 439 443 449

## Solution of exercise 4

Factor the following numbers:

1. 216
2216
2108
254
327
39
33
1

2. 360

2360
2180
290
345
315
55
1

3. 432

2432
2216
2108
254
327
39
33
31

## Solution of exercise 5

Factor 342 and determine its number of divisors.

## Solution of exercise 6

Factor the following numbers:

1. 2,250

22250
31125
3375
5125
321
77
1

2.   3,500

23500
21750
5875
5175
535
77
1

3.  2,520

22520
21260
2630
3315
3105
535
77
1

## Solution of exercise 7

Calculate the greatest common divisor (GCD) and the lowest common multiple (LCM) of the following numbers:

1. 428 and 376

G.C.D.

L.C.M.

2.  148 and 156

GCD

LCM

3.  600 and 1,000

GCD

LCM

## Solution of exercise 8

Calculate the greatest common divisor (GCD) and the lowest common multiple (LCM) of the following numbers:

1. 72, 108 and 60.

GCD

LCM

2.  1,048, 7,86 and 3,930
21048
2524
2262
131131
1
2786
3393
131131
1
23930
31965
5655
131131
1
GCD LCM

3.   3,120, 6,200 and 1,864

23120
21560
2780
2390
5195
339
1313
1

26200
23100
21550
5775
5155
3131
1

21864
2932
2416
2208
2104
252
226
1313
1

GCD

LCM

## Solution of exercise 9

Determine, using the Euclidean algorithm, the greatest common divisor (GCD) of:

1. 72 and 16

GCD (72, 16) = 8

2.  656 and 848

GCD (656, 848) = 16

3.  17,28 and 842

GCD (1,278, 842) = 2

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