Q: What are the factors or divisors of the number 1,050?

 A: 12356710141521253035425070751051501752103505251050

How do I find the factors or divisors of the number 1,050?

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 1,050, 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 1,050

Next, we take the number 1,050 and divide it by 2.

In this case, 1,050 ÷ 2 = 525

If the quotient is a whole number, then 2 and 525 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 525 1,050

Now, we try dividing 1,050 by 3.

1,050 ÷ 3 = 350

If the quotient is a whole number, then 3 and 350 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 3 350 525 1,050

Let's try dividing by 4.

1,050 ÷ 4 = 262.5

If the quotient is a whole number, then 4 and 262.5 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 3 350 525 1,050

We keep dividing by the next largest number, in this case the number 5. If the quotient of 1,050 ÷ 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:

12356710141521253035425070751051501752103505251,050

All of the numbers in the table above can be evenly divided into the number 1,050.

Finally, for your reference, here are all of the divisor combinations of the number 1,050:

1 x 10502 x 5253 x 3505 x 2106 x 1757 x 15010 x 10514 x 7515 x 7021 x 5025 x 4230 x 35


More Examples

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