Q: What are the factors or divisors of the number 35,104?

 A: 1248163210972194438887761755235104

How do I find the factors or divisors of the number 35,104?

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 35,104, 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 35,104

Next, we take the number 35,104 and divide it by 2.

In this case, 35,104 ÷ 2 = 17,552

If the quotient is a whole number, then 2 and 17,552 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 17,552 35,104

Now, we try dividing 35,104 by 3.

35,104 ÷ 3 = 11,701.3333

If the quotient is a whole number, then 3 and 11,701.3333 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 17,552 35,104

Let's try dividing by 4.

35,104 ÷ 4 = 8,776

If the quotient is a whole number, then 4 and 8,776 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 4 8,776 17,552 35,104

We keep dividing by the next largest number, in this case the number 5. If the quotient of 35,104 ÷ 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:

124816321,0972,1944,3888,77617,55235,104

All of the numbers in the table above can be evenly divided into the number 35,104.

Finally, for your reference, here are all of the divisor combinations of the number 35,104:

1 x 35104
2 x 17552
4 x 8776
8 x 4388
16 x 2194
32 x 1097


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