Math  /  Numbers & Operations

QuestionChapter Review
1. List all the factors of the number.

14: \qquad
2. Select the numbers that are a factor of 12 Mark all that apply (A) 12

D 2 B 24 E 3 (C) 6 (F) 7

Studdy Solution

STEP 1

1. A factor of a number is an integer that divides the number without leaving a remainder.
2. We need to list all factors of the number 14.
3. We need to determine which of the given numbers are factors of 12.

STEP 2

1. List factors of 14.
2. Determine factors of 12 from the given options.

STEP 3

To list all factors of 14, find all integers that divide 14 without leaving a remainder.

STEP 4

Start by testing divisibility from 1 up to 14.
- 1 divides 14: 14÷1=14 14 \div 1 = 14 - 2 divides 14: 14÷2=7 14 \div 2 = 7 - 3 does not divide 14: 14÷3integer 14 \div 3 \neq \text{integer} - 4 does not divide 14: 14÷4integer 14 \div 4 \neq \text{integer} - 5 does not divide 14: 14÷5integer 14 \div 5 \neq \text{integer} - 6 does not divide 14: 14÷6integer 14 \div 6 \neq \text{integer} - 7 divides 14: 14÷7=2 14 \div 7 = 2 - 14 divides 14: 14÷14=1 14 \div 14 = 1

STEP 5

List all factors of 14: 1,2,7,14 1, 2, 7, 14 .

STEP 6

To determine which numbers are factors of 12, check each option.

STEP 7

Check divisibility of each option by 12:
- (A) 12 divides 12: 12÷12=1 12 \div 12 = 1 - (B) 24 does not divide 12: 12÷24integer 12 \div 24 \neq \text{integer} - (C) 6 divides 12: 12÷6=2 12 \div 6 = 2 - (D) 2 divides 12: 12÷2=6 12 \div 2 = 6 - (E) 3 divides 12: 12÷3=4 12 \div 3 = 4 - (F) 7 does not divide 12: 12÷7integer 12 \div 7 \neq \text{integer}
The factors of 14 are: 1,2,7,14 1, 2, 7, 14 .
The numbers that are factors of 12 are: (A) 12, (C) 6, (D) 2, (E) 3.

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