Factors of 147 are the list of positive and negative whole numbers that can be divided evenly into 147. Today we will see there are a total of 6 factors of 147. In this lesson, we will calculate the factors of 147, its prime factors, its factors in pairs. We will also solve some examples for better understanding.

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**Factors of 147:**1, 3, 7, 21, 49, 147

**Negative factors of 147:**-1, -3, -7, -21, -49, and -147

**Prime Factorization of 147:**3 × 7 × 7

1. | What are Factors of 147? |

2. | How to Calculate Factors of 147? |

3. | Factors of 147 by Prime Factorization |

4. | Factors of 147 in Pairs |

5. | Important Notes |

6. | FAQs on Factors of 147 |

7. | Challenging Questions |

## What are Factors of 147?

The diagram below provides the representation of the above definition:

**Explore factors using illustrations and interactive examples:**

## How To Calculate Factors of 147?

To calculate the factors of any number, here in this case 147, we need to find all the numbers that would divide 147 without leaving any remainder.

We start with the number 1, then check for numbers 2, 3, 4, 5, 6, 7, etc. up to 74 (approximately half of 147)The number 1 and the number itself would always be a factor of the given number.Refer to the following table to check the division of 147 by its factors:

Division | Factor |

147 ÷ 1 = 147 | Remainder = 0, therefore Factor = 1 |

147 ÷ 3 = 49 | Remainder = 0, therefore Factor = 3 |

147 ÷ 7 = 21 | Remainder = 0, therefore Factor = 7 |

147 ÷ 21 = 7 | Remainder = 0, therefore Factor = 21 |

147 ÷ 49 = 3 | Remainder = 0, therefore Factor = 49 |

147 ÷ 147= 1 | Remainder = 0, therefore Factor = 147 |

## Factors of 147 by Prime Factorization

Prime factorization is to express a composite number as the product of its prime factors.

We can find by**division method**or by the

**factor-tree**methodWe can do the same procedure using the factor tree as shown in the diagram given below:So, the prime factorization of 147 is:

**147 = 3 × 7 × 7 or 3 × 72**

Multiply the prime factors thus obtained in different ways to obtain all the possible composite factors of the number. Thus, the total factors can be written including both the prime and composite numbers together as, **1, 3, 7, 21, 49, 147.**

## Factors of 147 in Pairs

Pair factors are the factors of a number given in pairs which, when multiplied together, give that original number. The pair factors of 147 would be the two numbers which, when multiplied together, result in the product 147.

Factor Pair | Pair Factorization |

1 and 147 | 1 × 147 = 147 |

3 and 49 | 3 × 49 = 147 |

7 and 21 | 3 × 49 = 147 |

**Important Notes**

147 has a total of 6 factors which makes the number a composite number.Only composite numbers can have more than two factorsThe negative factor pairs of 147 would be ( -1, -147 ), ( -7, -21) and ( -3, -49)

**Challenging Questions**

Miley has a collection of two different kinds of postcard stamps. She has 294 stamps of one kind while 147 of the other. She wants to arrange them in a table with an equal number of rows for both. What is the maximum number of rows they can be arranged in?

## Factors of 147 Solved Examples

**Example 1: **Ted is trying to calculate the product of all the factors of 147. Can you help him solve it?

**Solution:**

We know, the factors of 147 = 1, 3, 7, 21, 49, 147.

Thus, the product of all the factors = 1 × 3 × 7 × 21x 49 × 147 = 3,176,523.

**Example 2: **Rosa is puzzled while finding all the factor pairs of 147. What will be the total positive factor pairs of 147?

**Solution:**

We know, factors of 147 = 1, 3, 7, 21, 49, 147. Positive factor pairs = (1, 147), (3, 49), (7, 21)

Hence, total factor pairs of 147 = 3

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## Interactive Questions

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## FAQs on Factors of 147

### What are Factors of 147?

The factors of 147 are 1, 3, 7, 49, and 147.

### Is 147 a Perfect Square?

We know, 147 = 3 × 7 × 7. Using prime factorization, we see that the square root of 147 cannot be calculated. Thus, 147 is not a perfect square.

### What are the Factors of 147 and 36?

Factors of 147 = 1, 3, 7, 21, 49, 147 and the factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36.

### What are the Prime Factors of 147?

The prime factors of 147 are 3 and 7.

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### How to find the Prime Factors of 148?

The prime factors are found by the prime factorization of 148 either by** division method** or by the **factor tree **method.