Q: What are the factor combinations of the number 8,024,753?

 A:
Positive:   1 x 802475311 x 72952331 x 258863101 x 79453233 x 34441341 x 235331111 x 72232563 x 3131
Negative: -1 x -8024753-11 x -729523-31 x -258863-101 x -79453-233 x -34441-341 x -23533-1111 x -7223-2563 x -3131


How do I find the factor combinations of the number 8,024,753?

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 8,024,753, 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 8,024,753
-1 -8,024,753

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 8,024,753.

Example:
1 x 8,024,753 = 8,024,753
and
-1 x -8,024,753 = 8,024,753
Notice both answers equal 8,024,753

With that explanation out of the way, let's continue. Next, we take the number 8,024,753 and divide it by 2:

8,024,753 ÷ 2 = 4,012,376.5

If the quotient is a whole number, then 2 and 4,012,376.5 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 8,024,753
-1 -8,024,753

Now, we try dividing 8,024,753 by 3:

8,024,753 ÷ 3 = 2,674,917.6667

If the quotient is a whole number, then 3 and 2,674,917.6667 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 8,024,753
-1 -8,024,753

Let's try dividing by 4:

8,024,753 ÷ 4 = 2,006,188.25

If the quotient is a whole number, then 4 and 2,006,188.25 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 8,024,753
-1 8,024,753
Keep dividing by the next highest number until you cannot divide anymore.

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

111311012333411,1112,5633,1317,22323,53334,44179,453258,863729,5238,024,753
-1-11-31-101-233-341-1,111-2,563-3,131-7,223-23,533-34,441-79,453-258,863-729,523-8,024,753

More Examples

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