More about FACTORSDIVISIBILITY

Which of the following numbers are factors of 36?

1, 2, 3, 4, 5, 6, 7, 8, 9, and 10?

Write the multiplication facts you know for 36.

Brain Tickler

Which of the following numbers are factors of 36?

1, 2, 3, 4, 5, 6, 7, 8, 9, and 10? Write the multiplication facts you know for 36.

1x36; 2x18; 3x12; 4x9; 6x6

Answers:

How do we know 4

is a factor of

36?

Determining Factors

How do we know 4 is a factor of 36?

Because 4 * 9 = 36

Therefore, 4 and 9 are FACTORS of 36.

Determining Factors

How do we know 5 is

NOT A FACTOR Of 36?

Determining Factors

How do we know 5 is NOT A FACTOR of 36?

5 x = 36

There is NO whole number times 5 that equals 36.

Determining Factors

If a number can be represented by a rectangular array with 2 rows, what true statements can we make about the number?

Connecting Arrays and Factors

If a number can be represented by a rectangular array with 2 rows, what true statements can we make about the number?

2 is a factorThe number is an EVEN NUMBERThe number is DIVISIBLE by 2

Connecting Arrays and Factors

If a number can be represented by a rectangular array with 2 columns, what true statements can we make about the number?

Connecting Arrays and Factors

If a number can be represented by a rectangular array with 2 columns, what true statements can we make about the number?

2 is a factorThe number is an EVEN NUMBERThe number is DIVISIBLE by 2

Connecting Arrays and Factors

Suppose a number cannot be represented by an array with 2 rows or 2 columns? For instance, why can’t 3 be represented by an array with 2 rows?

Connecting Arrays and Factors

Suppose a number cannot be represented by an array with 2 rows or 2 columns? For instance, why can’t 3 be represented by an array with 2 rows?

3 is an ODD Number3 is not Divisible by 22 is not a factor of 3

Connecting Arrays and Factors

ARRAYS model MULTIPLICATION

4 x 3 = 12

Does multiplication have a relationship to division?

4 x 3 = 12

Is 54 divisible by 9?

54 pennies ÷ 9 rows = 6 pennies per row

Is 25 divisible by 6?

25 pennies÷ 6 rows = 4 pennies per row + 1 remaining penny

Because of the remainder, 6 is NOT a FACTOR of 25.

Is 8 a factor of 48?

YES, 8 is a FACTOR 48 pennies ÷ 8 rows = 6 pennies per row

Is 4 a factor of 30?

No, 4 is NOT a Factor of 30

A number is DIVISIBLE BY another number if the result of the division is:

A whole number With A remainder of ZERO-----------------------------------------

Example: 28 is divisible by 7

28 ÷ 7 = 4 r 0

Therefore, 7 is a FACTOR of 28

MAIN IDEA:

Practice your skill in finding factors by playing FACTOR CAPTOR: http://illuminations.nctm.org/ActivityDetail.aspx?ID=12

You may change “opponent” and “game type”.

FACTOR CAPTOR