Question

relating factors and multiples ii - item 55520
enter whole numbers between 1 and 100 to complete each statement.
one factor of 54 is
one multiple of 9 is
one factor of 10 is
one multiple of 10 is

Explanation:

For "One factor of 54 is":

Step1: Recall factors of 54

Factors of 54 are numbers that divide 54 without remainder. \( 54 \div 1 = 54 \), \( 54 \div 2 = 27 \), \( 54 \div 3 = 18 \), \( 54 \div 6 = 9 \), etc. We can choose 2 (any valid factor between 1 - 100 works).

Step2: Confirm

2 is a whole number between 1 - 100 and \( 54 \div 2 = 27 \) (no remainder), so 2 is a factor.

For "One multiple of 9 is":

Step1: Recall multiples of 9

Multiples of 9 are \( 9\times1 = 9 \), \( 9\times2 = 18 \), \( 9\times3 = 27 \), etc. We can choose 9 (any valid multiple between 1 - 100 works).

Step2: Confirm

9 is a whole number between 1 - 100 and \( 9 = 9\times1 \), so 9 is a multiple.

For "One factor of 10 is":

Step1: Recall factors of 10

Factors of 10 are numbers that divide 10 without remainder. \( 10 \div 1 = 10 \), \( 10 \div 2 = 5 \), \( 10 \div 5 = 2 \), \( 10 \div 10 = 1 \). We can choose 5 (any valid factor between 1 - 100 works).

Step2: Confirm

5 is a whole number between 1 - 100 and \( 10 \div 5 = 2 \) (no remainder), so 5 is a factor.

For "One multiple of 10 is":

Step1: Recall multiples of 10

Multiples of 10 are \( 10\times1 = 10 \), \( 10\times2 = 20 \), \( 10\times3 = 30 \), etc. We can choose 10 (any valid multiple between 1 - 100 works).

Step2: Confirm

10 is a whole number between 1 - 100 and \( 10 = 10\times1 \), so 10 is a multiple.

Answer:

s:
One factor of 54 is \(\boldsymbol{2}\) (other valid answers: 1, 3, 6, 9, 18, 27, 54).
One multiple of 9 is \(\boldsymbol{9}\) (other valid answers: 18, 27, ..., 99).
One factor of 10 is \(\boldsymbol{5}\) (other valid answers: 1, 2, 10).
One multiple of 10 is \(\boldsymbol{10}\) (other valid answers: 20, 30, ..., 100).