Prime factorization and divisibility rules

The following prime factorization represents which number:  2² x 3 x 7

• 14
• 84
• 42
• 70

A prime number...

• has one factor.
• has more than 2 factors.
• has 100 factors.
• has exactly 2 factors: 1 and the itself.

A composite number ...

• has more than 2 factors.
• has one factor.
• has at least 10 factors.
• is always a really big number.

Find the prime factorization of 100 in exponential form.

• 10 × 10

• 5⁴

• 4 x 25

• 2² × 5²

Find the prime factorization of 75 in exponential form.

• 3 × 5²
• 3² × 5
• 5 × 15
• 3² × 5²

Which number is divisible by both 2 and 5?

• 150

• 151

• 152

• 153

Which of the following numbers is divisible by 9?

• 234

• 235

• 236

• 237

Is the number 231 divisible by 3?

• Yes

• No

Which of the following statements is true of this number?

• It is divisible by 2, 5 and 10

• It is divisible by 10

• It is divisible by 2, 3, 5, 6, 9, and 10

• It is divisible by 3 and 5

Which number listed below is a prime number?

• 1
• 37
• 63
• 33