Q: What are the factors or divisors of the number 153?

 A: 1391751153

How do I find the factors or divisors of the number 153?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the factors of larger numbers. To find the factors of the number 153, it is easiest to start from the outside in. Here's what we mean:

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table.

1 153

Next, we take the number 153 and divide it by 2.

In this case, 153 ÷ 2 = 76.5

If the quotient is a whole number, then 2 and 76.5 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 153

Now, we try dividing 153 by 3.

153 ÷ 3 = 51

If the quotient is a whole number, then 3 and 51 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 3 51 153

Let's try dividing by 4.

153 ÷ 4 = 38.25

If the quotient is a whole number, then 4 and 38.25 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 3 51 153

We keep dividing by the next largest number, in this case the number 5. If the quotient of 153 ÷ 5 is a whole number, then 5 and your quotient are factors of the number.


Keep dividing by the next highest number until you cannot divide anymore.


What you will end up with is this table:

1391751153

All of the numbers in the table above can be evenly divided into the number 153.

Finally, for your reference, here are all of the divisor combinations of the number 153:

1 x 153
3 x 51
9 x 17


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 153:


Ask a Question