Q: What are the factor combinations of the number 7,320,673?

 A:
Positive:   1 x 732067329 x 25243741 x 17855347 x 155759131 x 558831189 x 61571363 x 53711927 x 3799
Negative: -1 x -7320673-29 x -252437-41 x -178553-47 x -155759-131 x -55883-1189 x -6157-1363 x -5371-1927 x -3799


How do I find the factor combinations of the number 7,320,673?

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 7,320,673, 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 7,320,673
-1 -7,320,673

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 7,320,673.

Example:
1 x 7,320,673 = 7,320,673
and
-1 x -7,320,673 = 7,320,673
Notice both answers equal 7,320,673

With that explanation out of the way, let's continue. Next, we take the number 7,320,673 and divide it by 2:

7,320,673 ÷ 2 = 3,660,336.5

If the quotient is a whole number, then 2 and 3,660,336.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 7,320,673
-1 -7,320,673

Now, we try dividing 7,320,673 by 3:

7,320,673 ÷ 3 = 2,440,224.3333

If the quotient is a whole number, then 3 and 2,440,224.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 7,320,673
-1 -7,320,673

Let's try dividing by 4:

7,320,673 ÷ 4 = 1,830,168.25

If the quotient is a whole number, then 4 and 1,830,168.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 7,320,673
-1 7,320,673
Keep dividing by the next highest number until you cannot divide anymore.

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

12941471311,1891,3631,9273,7995,3716,15755,883155,759178,553252,4377,320,673
-1-29-41-47-131-1,189-1,363-1,927-3,799-5,371-6,157-55,883-155,759-178,553-252,437-7,320,673

More Examples

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