Analyze Numbers Using Prime Factorization and Exponentiation!

Is it prime?

100

Is 3 prime?

yes! 3 is prime

200

Is 10 prime?

No! 10 is composite

300

Is 89 prime?

Yes! 89 is prime!

400

Is 57 prime?

No! 57 is composite!

57 divided by 3 is 19!

500

Is 47 prime?

Yes! 47 is a prime number

What are the factors?

100

Factors of 12

1, 2, 3, 4, 6, and 12!

200

Factors of 15

1, 3, 5 and 15

300

Factors of 36

1, 2, 3, 4, 6, 9, 12, 18, 36

400

Factors of 42

1, 2, 3, 6, 7, 14, 21, 42

500

Factors of 64

1, 2, 4, 8, 16, 32, 64

What is the prime factorization?

100

Prime factorization of 12

2 x 2 x 3

OR 

2² x 3

200

Prime factorization of 24

2 x 2 x 2 x 3

OR

2³ x 3

300

Prime factorization of 18

2 x 3 x 3 

OR 

2 x 3²

400

Prime factorization of 36 

2 x 2 x 3 x 3

OR

2² x 3²

500

Prime factorization of 64

2 x 2 x 2 x 2 x 2 x 2

OR

2⁶

What is the exponent and its power?

100

2 x 2 x 2

2³ = 8

200

3 x 3 x 3

3³ = 27

300

2 x 2 x 2 x 2 x 2 x 2

2⁶ = 64

400

4 x 4

4² = 16

500

5 x 5 x 5

5³ = 125

Is it divisible?

100

Is 12 divisible by 2, 3, 4 and 6?

Yes! 2 is an even number, 2+1 = 3, 12 is divisible by 4 and the 2 and 3 rule apply so 6 does as well!

200

Is 75 divisible by 5 and 2?

No! because 5 is an odd number!

300

Is 80 divisible by 2, 4, 5, 8 and 10?

Yes! it is an even number, 8 is divisible by 4 and 8 and it ends in a 0!

400

Is 45 divisible by 2, 3, 5 and 6?

No! 5 is an odd number so it is not divisible by 2 or 6!

500

Is 57 divisible by 3?

Yes! 57 5 + 7 = 12 and 12 is divisible by 3!