How do I find the factors or divisors of the number 47,880?

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 47,880, 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 47,880

Next, we take the number 47,880 and divide it by 2.

In this case, 47,880 ÷ 2 = 23,940

If the quotient is a whole number, then 2 and 23,940 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 23,940 47,880

Now, we try dividing 47,880 by 3.

47,880 ÷ 3 = 15,960

If the quotient is a whole number, then 3 and 15,960 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 15,960 23,940 47,880

Let's try dividing by 4.

47,880 ÷ 4 = 11,970

If the quotient is a whole number, then 4 and 11,970 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 4 11,970 15,960 23,940 47,880

We keep dividing by the next largest number, in this case the number 5. If the quotient of 47,880 ÷ 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:

1234567891012141518192021242830353638404245565760637072768490951051141201261331401521681711801902102282522662802853153423603803994204565045325706306656847607988408551,0641,1401,1971,2601,3301,3681,5961,7101,9952,2802,3942,5202,6603,1923,4203,9904,7885,3205,9856,8407,9809,57611,97015,96023,94047,880

All of the numbers in the table above can be evenly divided into the number 47,880.

Finally, for your reference, here are all of the divisor combinations of the number 47,880:

1 x 478802 x 239403 x 159604 x 119705 x 95766 x 79807 x 68408 x 59859 x 532010 x 478812 x 399014 x 342015 x 319218 x 266019 x 252020 x 239421 x 228024 x 199528 x 171030 x 159635 x 136836 x 133038 x 126040 x 119742 x 114045 x 106456 x 85557 x 84060 x 79863 x 76070 x 68472 x 66576 x 63084 x 57090 x 53295 x 504105 x 456114 x 420120 x 399126 x 380133 x 360140 x 342152 x 315168 x 285171 x 280180 x 266190 x 252210 x 228


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 47,880:


Ask a Question