How do I find the factors or divisors of the number 397,440?

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 397,440, 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.

1 397,440

Next, we take the number 397,440 and divide it by 2.

In this case, 397,440 ÷ 2 = 198,720

If the quotient is a whole number, then 2 and 198,720 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 198,720 397,440

Now, we try dividing 397,440 by 3.

397,440 ÷ 3 = 132,480

If the quotient is a whole number, then 3 and 132,480 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 3 132,480 198,720 397,440

Let's try dividing by 4.

397,440 ÷ 4 = 99,360

If the quotient is a whole number, then 4 and 99,360 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 99,360 132,480 198,720 397,440

We keep dividing by the next largest number, in this case the number 5. If the quotient of 397,440 ÷ 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:

12345689101215161820232427303236404546485460646972809092961081151201281351381441601801841922072162302402702762883203453603683844144324604805405525766216406907207368288649209601,0351,0801,1041,1521,2421,3801,4401,4721,6561,7281,8401,9202,0702,1602,2082,4842,7602,8802,9443,1053,3123,4563,6804,1404,3204,4164,9685,5205,7606,2106,6247,3608,2808,6408,8329,93611,04012,42013,24814,72016,56017,28019,87222,08024,84026,49633,12039,74444,16049,68066,24079,48899,360132,480198,720397,440

All of the numbers in the table above can be evenly divided into the number 397,440.

Finally, for your reference, here are all of the divisor combinations of the number 397,440:

1 x 3974402 x 1987203 x 1324804 x 993605 x 794886 x 662408 x 496809 x 4416010 x 3974412 x 3312015 x 2649616 x 2484018 x 2208020 x 1987223 x 1728024 x 1656027 x 1472030 x 1324832 x 1242036 x 1104040 x 993645 x 883246 x 864048 x 828054 x 736060 x 662464 x 621069 x 576072 x 552080 x 496890 x 441692 x 432096 x 4140108 x 3680115 x 3456120 x 3312128 x 3105135 x 2944138 x 2880144 x 2760160 x 2484180 x 2208184 x 2160192 x 2070207 x 1920216 x 1840230 x 1728240 x 1656270 x 1472276 x 1440288 x 1380320 x 1242345 x 1152360 x 1104368 x 1080384 x 1035414 x 960432 x 920460 x 864480 x 828540 x 736552 x 720576 x 690621 x 640


More Examples

Here are some more numbers to try:

397,438397,439397,441397,442
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