# How do you know if a number is divisible by 17?

Table of Contents

## How do you know if a number is divisible by 17?

A number is divisible by 17 if you multiply the last digit by 5 and subtract that from the rest. If that result is divisible by 17, then your number is divisible by 17. For example, for 986, you do: 98 – (6 x 5) = 68. Since, 68 is divisible by 17, then 986 is also divisible by 17.

## What can 17 be divisible by?

Explanation: Since 17 is a prime number, it has only 2 factors namely 1 and itself. These are the only 2 numbers which can divide perfectly into it without leaving a remainder.

**What is a number divisible by 17 and 8?**

FAQs on LCM of 17 and 8 The LCM of 17 and 8 is 136. To find the least common multiple (LCM) of 17 and 8, we need to find the multiples of 17 and 8 (multiples of 17 = 17, 34, 51, 68 . . . . 136) and choose the smallest multiple that is exactly divisible by 17 and 8, i.e., 136.

**How do you check divisibility by 18?**

Divisibility Test for 18

- If a number is divisible by 2, its last digit must be even.
- If a number is divisible by 9, the sum of all its digits must be a multiple of 9.
- If a number passes both tests, then it will surely be divisible by 18.

### What are the factors of 17?

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.

### What are multiples of 17?

The first ten multiples of 17 are 17, 34, 51, 68, 85, 102, 119, 136, 153 and 170.

**What are the factor of 17?**

**What is the divisibility rule of 16?**

Divisibility rules for numbers 1–30

Divisor | Divisibility condition |
---|---|

16 | Add the last two digits to four times the rest. The result must be divisible by 16. |

The last four digits must be divisible by 16. | |

17 | Subtract 5 times the last digit from the rest. |

Subtract the last two digits from two times the rest. |

#### What is the LCM of 17?

LCM of 17 and 19 by Prime Factorization Prime factorization of 17 and 19 is (17) = 171 and (19) = 191 respectively. LCM of 17 and 19 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 171 × 191 = 323. Hence, the LCM of 17 and 19 by prime factorization is 323.

#### What are the multiples of 17?

**How do you find a number that is divisible by 17?**

Given a large positive number of at most 1000 digits. You have to find out whether that number is divisible by 17 or not. I know an algorithm which says multiply the last digit by 5 and subtract from the remaining number, if the resulting number is divisible by 17, then the number is divisible by 17.

**What is the divisibility test for even numbers?**

A number is even if it ends in 0, 2, 4, 6, or 8. Examples of numbers that are even and therefore pass this divisibility test. Since the last digit is a 2, the entire number, 12, is an even number and therefore divisible by 2. Since the last digit is an 8, this is an an even number and therefore divisible by 2.

## What is the rule for divisibility by 5?

Rule: A number is divisible by 5 if its last digit is a 0 or 5. See what the rule for divisibility by five has to say about the following number: Examples of numbers that are divisible by 5 and satisfy this rule Since the last digit is 0, this number is divisible by 5.

## How do you know if a number is divisible by 12?

From the divisibility rules, we know that a number is divisible by 12 if it is divisible by both 3 and 4. Therefore, we just need to check that 1,481,481,468 is divisible by 3 and 4. 1+4+8+1+4+8+1+4+6+8=45, 1+ 4+8+1+4+ 8+1+4+6 +8 = 45, which is divisible by 3.