Q: What are the factors or divisors of the number 950?

 A: 125101925385095190475950

How do I find the factors or divisors of the number 950?

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 950, 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.

1 950

Next, we take the number 950 and divide it by 2.

In this case, 950 ÷ 2 = 475

If the quotient is a whole number, then 2 and 475 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 475 950

Now, we try dividing 950 by 3.

950 ÷ 3 = 316.6667

If the quotient is a whole number, then 3 and 316.6667 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 2 475 950

Let's try dividing by 4.

950 ÷ 4 = 237.5

If the quotient is a whole number, then 4 and 237.5 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 2 475 950

We keep dividing by the next largest number, in this case the number 5. If the quotient of 950 ÷ 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:

125101925385095190475950

All of the numbers in the table above can be evenly divided into the number 950.

Finally, for your reference, here are all of the divisor combinations of the number 950:

1 x 950
2 x 475
5 x 190
10 x 95
19 x 50
25 x 38


More Examples

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