Q:

# What are the multiples of 17?

A:

Multiples of 17 are numbers by which 17 can be exactly divided, such as 34 or 51. A multiple of 17 is any number that is a product of 17 and an integer.

## Keep Learning

Because 17 is a large prime number, it can be difficult to recognize patterns among the multiples. When multiplying 17, students should remember that any value they find should be between the similar multiple of 15 and 20. For example, 4 times 15 equals 60 and 4 times 20 equals 80; 4 times 17 equals 68, which is between 60 and 80.

The ones digit of any multiple of 17 follows the 7 times table.

Multiples of 7 are 7, 14, 21, 28, 35, 42, 49, 56, 63, 70.

Multiples of 17 are 17, 34, 51, 68, 85, 102, 119, 136, 153, 170.

Seventeen times any number is equal to the sum of that number multiplied by 10 and 7. In other words, 17*n = n*(10 + 7) = 10*n + 7*n. For example, 17*12 = 12*(10 + 7) = 12*10 + 12*7 = 120 + 84 = 204.

When attempting to find the prime factorization of a multiple of 17, it is easier to start by dividing by smaller, more manageable factors. For example, to find the prime factorization of 272, first divide by 2s.

272/2 = 136

136/2 = 68

68/2 = 34

34/2 = 17

The prime factorization states that 272 = 2*2*2*2*17.

Sources:

## Related Questions

• A: In math terms, a number's multiples are the product of that number and another whole number. For instance, multiples of seven include seven, 14 and 21 beca... Full Answer >
Filed Under:
• A: 30 has an infinite number of multiples. Some multiples of thirty include 30, 60, 90, 120 and 150. Three and 10 divide evenly into all multiples of 30.... Full Answer >
Filed Under:
• A: There is an infinite number of multiples of six. A multiple of six is any number that is divisible by six, such as 12, 24, 360 or 7,907,560,848... Full Answer >
Filed Under:
• A: The list of the multiples of 9 can go on infinitely. The first 10 on the list are 9, 18, 27, 36, 45, 54, 63, 72, 81 and 90. These numbers are all divisible... Full Answer >
Filed Under:
PEOPLE SEARCH FOR