Grade 5 Multiples and Factors

Step 1: A multiple of a number is the result of multiplying that number by an integer.

Step 2: To find the first 5 multiples of 6, multiply 6 by the first 5 counting numbers (1, 2, 3, 4, 5).

Step 3: 6 × 1 = 6

Step 4: 6 × 2 = 12

Step 5: 6 × 3 = 18

Step 6: 6 × 4 = 24

Step 7: 6 × 5 = 30

Step 8: The first 5 multiples of 6 are 6, 12, 18, 24, and 30.

Step 1: Factors of a number are the numbers that divide it evenly (with no remainder).

Step 2: Start checking numbers from 1 upwards to see if they divide 18 evenly.

Step 3: 18 ÷ 1 = 18. So, 1 and 18 are factors.

Step 4: 18 ÷ 2 = 9. So, 2 and 9 are factors.

Step 5: 18 ÷ 3 = 6. So, 3 and 6 are factors.

Step 6: Check 4: 18 ÷ 4 has a remainder. 4 is not a factor.

Step 7: Check 5: 18 ÷ 5 has a remainder. 5 is not a factor.

Step 8: Check 6: We already found 6 as a factor (paired with 3). We can stop checking once we reach a factor that is greater than or equal to the square root of the number (or when the pairs start repeating).

Step 9: The factors of 18 are the numbers we found: 1, 2, 3, 6, 9, and 18.

Step 1: A prime number is a whole number greater than 1 that has only two factors: 1 and itself.

Step 2: A composite number is a whole number greater than 1 that has more than two factors.

Step 3: Find the factors of 13.

Step 4: Check numbers from 1 upwards to see if they divide 13 evenly.

Step 5: 13 ÷ 1 = 13. So, 1 and 13 are factors.

Step 6: Check 2, 3, 4, ... up to the square root of 13 (which is about 3.6). None of these numbers divide 13 evenly.

Step 7: The only factors of 13 are 1 and 13.

Step 8: Since 13 has only two factors (1 and itself), it is a prime number.