Math Worksheets

Posts Tagged ‘prime factors math’

Dividing 17 by the NEXT smallest prime number, 3.

• 17 ÷ 3 = 5.6 recurring, not an integer (whole number so move on to the next prime number)

Dividing 17 by the next smallest prime number, 5.

• 17 ÷ 5 = 3.4, not an integer (whole number so move on to the next prime number)

Dividing 17 by the next smallest prime number, 7.

• 17 ÷ 7 = 2.43, not an integer (whole number so move on to the next prime number)

Dividing 17 by the nextsmallest prime number, 11.

• 17 ÷ 11 = 1.55, not an integer (whole number so move on to the next prime number)

Dividing 17 by the next smallest prime number, 13.

• 17 ÷ 31 = 1.31, not an integer (whole number so move on to the next prime number)

Dividing 17 by the next smallest prime number, 17.

• 17 ÷ 17 = 1 and the search for Prime factors concludes.

So, the Prime factors of 136 are 2 and 17. And, 136 can be written as a factor of:

136 = 2 x 2 x 2 x 17

Back to Prime numbers page

What are the Prime factors of 136?

Dividing 136 by the smallest prime number, 2.

136 ÷ 2 = 68

136 = 2 x 68

Dividing 68 by the smallest prime number, 2.

68 ÷ 2 = 34

136 = 2 x 2 x 34

Dividing 34 by the smallest prime number, 2.

34 ÷ 2 = 17

136 = 2 x 2 x 2 x 17

Dividing 17 by the smallest prime number, 2.

17 ÷ 2 = 8.5, not an integer (whole number so move on to the next prime number)

Once you have found a prime factor, keep dividing the remainder by the same prime factor until the remainder is no longer a whole number (an integer). When that happens, move on to the next prime number.