Q: What are the factor combinations of the number 809,760?

 A:
Positive:   1 x 8097602 x 4048803 x 2699204 x 2024405 x 1619526 x 1349607 x 1156808 x 10122010 x 8097612 x 6748014 x 5784015 x 5398416 x 5061020 x 4048821 x 3856024 x 3374028 x 2892030 x 2699232 x 2530535 x 2313640 x 2024442 x 1928048 x 1687056 x 1446060 x 1349670 x 1156880 x 1012284 x 964096 x 8435105 x 7712112 x 7230120 x 6748140 x 5784160 x 5061168 x 4820210 x 3856224 x 3615240 x 3374241 x 3360280 x 2892336 x 2410420 x 1928480 x 1687482 x 1680560 x 1446672 x 1205723 x 1120840 x 964
Negative: -1 x -809760-2 x -404880-3 x -269920-4 x -202440-5 x -161952-6 x -134960-7 x -115680-8 x -101220-10 x -80976-12 x -67480-14 x -57840-15 x -53984-16 x -50610-20 x -40488-21 x -38560-24 x -33740-28 x -28920-30 x -26992-32 x -25305-35 x -23136-40 x -20244-42 x -19280-48 x -16870-56 x -14460-60 x -13496-70 x -11568-80 x -10122-84 x -9640-96 x -8435-105 x -7712-112 x -7230-120 x -6748-140 x -5784-160 x -5061-168 x -4820-210 x -3856-224 x -3615-240 x -3374-241 x -3360-280 x -2892-336 x -2410-420 x -1928-480 x -1687-482 x -1680-560 x -1446-672 x -1205-723 x -1120-840 x -964


How do I find the factor combinations of the number 809,760?

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 divisors of larger numbers. To find the factor combinations of the number 809,760, it is easier to work with a table - it's called factoring from the outside in.

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. Then, below that, write the numbers as a negative as well.

1 809,760
-1 -809,760

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 809,760.

Example:
1 x 809,760 = 809,760
and
-1 x -809,760 = 809,760
Notice both answers equal 809,760

With that explanation out of the way, let's continue. Next, we take the number 809,760 and divide it by 2:

809,760 ÷ 2 = 404,880

If the quotient is a whole number, then 2 and 404,880 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 404,880 809,760
-1 -2 -404,880 -809,760

Now, we try dividing 809,760 by 3:

809,760 ÷ 3 = 269,920

If the quotient is a whole number, then 3 and 269,920 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 269,920 404,880 809,760
-1 -2 -3 -269,920 -404,880 -809,760

Let's try dividing by 4:

809,760 ÷ 4 = 202,440

If the quotient is a whole number, then 4 and 202,440 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 202,440 269,920 404,880 809,760
-1 -2 -3 -4 -202,440 -269,920 -404,880 809,760
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

123456781012141516202124283032354042485660708084961051121201401601682102242402412803364204804825606727238409641,1201,2051,4461,6801,6871,9282,4102,8923,3603,3743,6153,8564,8205,0615,7846,7487,2307,7128,4359,64010,12211,56813,49614,46016,87019,28020,24423,13625,30526,99228,92033,74038,56040,48850,61053,98457,84067,48080,976101,220115,680134,960161,952202,440269,920404,880809,760
-1-2-3-4-5-6-7-8-10-12-14-15-16-20-21-24-28-30-32-35-40-42-48-56-60-70-80-84-96-105-112-120-140-160-168-210-224-240-241-280-336-420-480-482-560-672-723-840-964-1,120-1,205-1,446-1,680-1,687-1,928-2,410-2,892-3,360-3,374-3,615-3,856-4,820-5,061-5,784-6,748-7,230-7,712-8,435-9,640-10,122-11,568-13,496-14,460-16,870-19,280-20,244-23,136-25,305-26,992-28,920-33,740-38,560-40,488-50,610-53,984-57,840-67,480-80,976-101,220-115,680-134,960-161,952-202,440-269,920-404,880-809,760

More Examples

Here are some more numbers to try:

809,758809,759809,761809,762
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