Re: Lincoln/Claudia Narang

Name:
Student ID:
Thomas Edison State College
Applied Liberal Arts Mathematics (MAT-105)
Section no.:
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Written Assignment 2

Section 5.1

20. Determine whether thefollowing statement is true or false. If false, modify the statement to make it a true statement.

15 is a factor of 45.

Yes it is a factor because it divides 45 without a remainder.
Since 45 / 15= 3

24. Determine whether the following statement is true or false. If false, modify the statement to make it a true statement.

If every digit of a number is divisible by 3, then the numberitself is divisible by 3.

False, if a number s divisible by 3, then the sum of the digits is divisible by 3.

28. Determine whether the number is divisible by each of the following numbers: 2, 3,4, 5, 6, 8, 9, and 10.

33,813
* It is not divisible by 2 since 33.813 is not even.
* It is divisible by 3 since 3+3+8+1+3=18 it’s divisible by 3.
* It is not divisible by 4 since thelast two digits, 13, is not divisible by 4.
* It is not divisible by 5 since it does not ends in 0 or 5
* It is not divisible by 6 since it is only divisible by 3.
* It is not divisible by8 since the last 3 digits.813, is not divisible by 8
* It is divisible by 9 since the sum of the digits, 18, is divisible by 9.
* It is not divisible by 10 since the number doesn’t end in 0.38. Find the prime factorization of the number.

315 = 32.5.7
| |
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
| |

48. Find (a) the greatest common divisor (GCD) and (b) theleast common multiple (LCM).

15 and 24

The prime factorization of 15 is 3ˣ5
The prime factorization of 24 is 23.3

a) The common factor is 3 so the GCD is 3.
b) The LCM is 23.3.5= 120.66. Barbie and Ken.  Mary Lois King collects Barbie dolls and Ken dolls. She has 390 Barbie dolls and 468 Ken dolls. Mary Lois wishes to display the dolls in groups so that the same number of...