Table of Contents

- 1 What are the factors of 45 and?
- 2 Which shows all the factors pairs of 45?
- 3 Which one of the following is a factor of 45 and not a multiple of 3?
- 4 What is the perfect square of 45?
- 5 When to consider pairs of positive factors in trinomial?
- 6 What are the rules for using positive and negative integers?

## What are the factors of 45 and?

What are the factors of 45? 1, 3, 5, 9, 15, and 45.

## Which shows all the factors pairs of 45?

Prime Factorization of 45

Factors of 45 | 1, 3, 5, 9, 15, 45 |
---|---|

Negative factors of 45 | -1, -3, -5, -9, -15, -45 |

Positive factor pairs of 45 | (1, 45), (3, 15), (5, 9) |

Negative factor pairs of 45 | (-1, -45), (-3, -15), (-5, -9) |

Prime factorization of 45 | 3 × 3 × 5 (Or) 32 × 5 |

**How do you find the common factors of 25 and 45?**

To find the GCF of 25 and 45, we will find the prime factorization of the given numbers, i.e. 25 = 5 × 5; 45 = 3 × 3 × 5. ⇒ Since 5 is the only common prime factor of 25 and 45. Hence, GCF (25, 45) = 5.

### Which one of the following is a factor of 45 and not a multiple of 3?

Answer: 1,5 are the only factor of 45 which are not a multiple of 3……

### What is the perfect square of 45?

2,025

List of Perfect Squares

NUMBER | SQUARE | SQUARE ROOT |
---|---|---|

43 | 1,849 | 6.557 |

44 | 1,936 | 6.633 |

45 | 2,025 | 6.708 |

46 | 2,116 | 6.782 |

**When do we only consider pairs of positive factors?**

We see that the only pair of factors whose product is 12 and whose sum is 7 is 3 and 4. Thus, Note that when all terms of a trinomial are positive, we need only consider pairs of positive factors because we are looking for a pair of factors whose product and sum are positive. That is, the factored term of

#### When to consider pairs of positive factors in trinomial?

Consider the following pairs of factors whose product is 12. We see that the only pair of factors whose product is 12 and whose sum is 7 is 3 and 4. Thus, Note that when all terms of a trinomial are positive, we need only consider pairs of positive factors because we are looking for a pair of factors whose product and sum are positive.

#### What are the rules for using positive and negative integers?

The Rules of Using Positive and Negative Integers 1 Addition. Whether you’re adding positives or negatives, this is the simplest calculation you can do with integers. 2 Subtraction. The rules for subtraction are similar to those for addition. 3 Multiplication. 4 Division.

**How to find the product of two binomial factors?**

When we have a monomial factor and two binomial factors, it is easiest to first multiply the binomials. Write 3x (x – 2) (x + 3) without parentheses. In Section 4.3, we saw how to find the product of two binomials.