Prime Factorization Worksheets

**Page 13**

121.

Is 60 a prime or a composite number?

a. | Prime | ||

b. | Composite | ||

c. | Both prime and composite | ||

d. | Neither prime nor composite |

A composite number is a number that has more than two factors.

So, 60 is a composite number.

[It has more than 2 factors.]

Correct answer : (2)

122.

Is 13 a prime or a composite number?

a. | Prime | ||

b. | Composite | ||

c. | Both prime and composite | ||

d. | Neither prime nor composite |

A number which has no factors other than 1 and itself is called a prime number.

So, 13 is a prime number.

Correct answer : (1)

123.

What would be the prime factorization of the number 210?

a. | 2 x 7 x 15 | ||

b. | 6 x 35 | ||

c. | 2 x 3 x 5 x 7 | ||

d. | None of the above |

So, the prime factorization of 210 = 2 x 3 x 5 x 7.

Correct answer : (3)

124.

What would be the prime factorization of the number 105?

a. | 3 x 5 x 7 | ||

b. | 15 x 7 | ||

c. | 3 x 35 | ||

d. | none of the above |

So, the prime factorization of 105 is 3 x 5 x 7.

Correct answer : (1)

125.

What is the prime factorization of the number 1001?

a. | 13 × 77 | ||

b. | 11 × 91 | ||

c. | 11 × 91 | ||

d. | 7 × 11 × 13 |

So, the prime factorization of 1001 is 7 × 11 × 13.

Correct answer : (4)

126.

Express the prime factorization of the number 72 using exponents.

a. | 2 ^{3} × 3^{1} | ||

b. | 2 ^{3} × 3^{2} | ||

c. | 2 ^{2} × 3^{3} | ||

d. | none of the above |

The prime factorization of 72 = 2 × 2 × 2 × 3 × 3.

2 × 2 × 2 × 3 × 3 = 2

[Convert product form to exponential form.]

The prime factorization of 72 in exponential form is 2

Correct answer : (2)

127.

Express the prime factorization of the number 90 using exponents.

a. | 6 × 3 × 5 | ||

b. | 2 × 3 ^{2} × 5 | ||

c. | 2 × 31 × 15 | ||

d. | 6 × 15 |

The prime factorization of 90 = 2 × 3 × 3 × 5.

2 × 3 × 3 × 5 = 2 × 3

[Convert product form to exponential form.]

The prime factorization of 90 in exponential form is 2 × 3

Correct answer : (2)

128.

A prime factor is a positive integer with __________ factors.

a. | Three | ||

b. | Two | ||

c. | One | ||

d. | None of the above |

So, the appropriate term in the blank is two.

Correct answer : (2)

129.

A prime factor is a positive integer that consists of factors, one and __________.

a. | many more | ||

b. | one | ||

c. | itself | ||

d. | None of the above |

So, the appropriate term in the blank is itself.

Correct answer : (3)

130.

Express the prime factorization of the number 375 using exponents.

a. | 3 ^{2} × 5 | ||

b. | 15 × 75 | ||

c. | 3 × 5 ^{2} | ||

d. | 3 × 5 ^{3} |

The prime factorization of 375 = 3 × 5 × 5 × 5.

3 × 5 × 5 × 5 = 3 × 5

[Convert product form to exponential form.]

The prime factorization of 375 in exponential form is 3 × 5

Correct answer : (4)