Q: What are the factor combinations of the number 690,984?

 A:
Positive:   1 x 6909842 x 3454923 x 2303284 x 1727466 x 1151647 x 987128 x 863739 x 7677612 x 5758214 x 4935618 x 3838821 x 3290424 x 2879127 x 2559228 x 2467836 x 1919442 x 1645254 x 1279656 x 1233963 x 1096872 x 959784 x 8226108 x 6398126 x 5484168 x 4113189 x 3656216 x 3199252 x 2742378 x 1828457 x 1512504 x 1371756 x 914
Negative: -1 x -690984-2 x -345492-3 x -230328-4 x -172746-6 x -115164-7 x -98712-8 x -86373-9 x -76776-12 x -57582-14 x -49356-18 x -38388-21 x -32904-24 x -28791-27 x -25592-28 x -24678-36 x -19194-42 x -16452-54 x -12796-56 x -12339-63 x -10968-72 x -9597-84 x -8226-108 x -6398-126 x -5484-168 x -4113-189 x -3656-216 x -3199-252 x -2742-378 x -1828-457 x -1512-504 x -1371-756 x -914


How do I find the factor combinations of the number 690,984?

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 690,984, 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.

1 690,984
-1 -690,984

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 690,984.

Example:
1 x 690,984 = 690,984
and
-1 x -690,984 = 690,984
Notice both answers equal 690,984

With that explanation out of the way, let's continue. Next, we take the number 690,984 and divide it by 2:

690,984 ÷ 2 = 345,492

If the quotient is a whole number, then 2 and 345,492 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 2 345,492 690,984
-1 -2 -345,492 -690,984

Now, we try dividing 690,984 by 3:

690,984 ÷ 3 = 230,328

If the quotient is a whole number, then 3 and 230,328 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 3 230,328 345,492 690,984
-1 -2 -3 -230,328 -345,492 -690,984

Let's try dividing by 4:

690,984 ÷ 4 = 172,746

If the quotient is a whole number, then 4 and 172,746 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 4 172,746 230,328 345,492 690,984
-1 -2 -3 -4 -172,746 -230,328 -345,492 690,984
Keep dividing by the next highest number until you cannot divide anymore.

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

1234678912141821242728364254566372841081261681892162523784575047569141,3711,5121,8282,7423,1993,6564,1135,4846,3988,2269,59710,96812,33912,79616,45219,19424,67825,59228,79132,90438,38849,35657,58276,77686,37398,712115,164172,746230,328345,492690,984
-1-2-3-4-6-7-8-9-12-14-18-21-24-27-28-36-42-54-56-63-72-84-108-126-168-189-216-252-378-457-504-756-914-1,371-1,512-1,828-2,742-3,199-3,656-4,113-5,484-6,398-8,226-9,597-10,968-12,339-12,796-16,452-19,194-24,678-25,592-28,791-32,904-38,388-49,356-57,582-76,776-86,373-98,712-115,164-172,746-230,328-345,492-690,984

More Examples

Here are some more numbers to try:

690,982690,983690,985690,986
Try the factor calculator

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