Factors of 17 are numbers that, when multiplied in pairs give the product as 17. There are overall 2 factors of 17 i.e. 1 and 17 where 17 is the biggest factor. The sum of all factors of 17 is 18. Its Prime Factors is 1, 17 and (1, 17) are Pair Factors.

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**Factors of 17:**1 and 17

**Negative Factors of 17:**-1 and -17

**Prime Factors of 17:**17

**Prime Factorization of 17:**17

**Sum of Factors of 17:**18

1. | What Are the Factors of 17? |

2. | Important Notes |

3. | How to Calculate the Factors of 17? |

4. | Factors of 17 by Prime Factorization |

5. | Factors of 17 in Pairs |

6. | FAQs on Factors of 17 |

## What Are the Factors of 17?

Factors are whole numbers that divide the given number completely without leaving any remainder.The factors of 17 are 1 and 17.

This shows that 17 is a prime number because it has no factors other than 1 and itself.

## How to Calculate the Factors of 17?

We can use different methods like the divisibility test, prime factorization, and the upside-down division method to calculate the factors of 17. In prime factorization, we express 17 as a product of its prime factors.

Explore factors using illustrations and interactive examples.

## Factors of 17 by Prime Factorization

Prime factorization is expressing the number as a product of its factors which are prime. We can do the prime factorization of any number by:

Upside-down division method orFactor tree methodPrime factorization by division method:

We know that 1 is a factor of every number, and 17 is not a multiple of any number. So, we factorize 17 as:

By prime factorization method, we get 17 = 1 × 17. Therefore, there are no other prime factors of 17 other than 17 itself.

## Factors of 17 in Pairs

Any set of two numbers that pair up to give the product as 17 are its factor pairs.

17 = 1 × 17

Therefore, the pair factors of 17 are (1, 17).

**A number can have negative pair factors as well.** This is because of the fact that the product of two negative numbers is positive.Hence, (-1,-17) is also a factor pair of 17.

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**Important Notes:**