How do I find the factors or divisors of the number 481,920?

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 481,920, 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.

1 481,920

Next, we take the number 481,920 and divide it by 2.

In this case, 481,920 ÷ 2 = 240,960

If the quotient is a whole number, then 2 and 240,960 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 240,960 481,920

Now, we try dividing 481,920 by 3.

481,920 ÷ 3 = 160,640

If the quotient is a whole number, then 3 and 160,640 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 3 160,640 240,960 481,920

Let's try dividing by 4.

481,920 ÷ 4 = 120,480

If the quotient is a whole number, then 4 and 120,480 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 4 120,480 160,640 240,960 481,920

We keep dividing by the next largest number, in this case the number 5. If the quotient of 481,920 ÷ 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:

123456810121516202430324048606480961201281601922402513203844805026407539601,0041,2551,5061,9202,0082,5103,0123,7654,0165,0206,0247,5308,03210,04012,04815,06016,06420,08024,09630,12032,12840,16048,19260,24080,32096,384120,480160,640240,960481,920

All of the numbers in the table above can be evenly divided into the number 481,920.

Finally, for your reference, here are all of the divisor combinations of the number 481,920:

1 x 4819202 x 2409603 x 1606404 x 1204805 x 963846 x 803208 x 6024010 x 4819212 x 4016015 x 3212816 x 3012020 x 2409624 x 2008030 x 1606432 x 1506040 x 1204848 x 1004060 x 803264 x 753080 x 602496 x 5020120 x 4016128 x 3765160 x 3012192 x 2510240 x 2008251 x 1920320 x 1506384 x 1255480 x 1004502 x 960640 x 753


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