Q: What are the factor combinations of the number 28,348,733?

 A:
Positive:   1 x 283487337 x 404981959 x 48048783 x 341551413 x 68641581 x 48793827 x 342794897 x 5789
Negative: -1 x -28348733-7 x -4049819-59 x -480487-83 x -341551-413 x -68641-581 x -48793-827 x -34279-4897 x -5789


How do I find the factor combinations of the number 28,348,733?

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 28,348,733, 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 28,348,733
-1 -28,348,733

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 28,348,733.

Example:
1 x 28,348,733 = 28,348,733
and
-1 x -28,348,733 = 28,348,733
Notice both answers equal 28,348,733

With that explanation out of the way, let's continue. Next, we take the number 28,348,733 and divide it by 2:

28,348,733 ÷ 2 = 14,174,366.5

If the quotient is a whole number, then 2 and 14,174,366.5 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 28,348,733
-1 -28,348,733

Now, we try dividing 28,348,733 by 3:

28,348,733 ÷ 3 = 9,449,577.6667

If the quotient is a whole number, then 3 and 9,449,577.6667 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 28,348,733
-1 -28,348,733

Let's try dividing by 4:

28,348,733 ÷ 4 = 7,087,183.25

If the quotient is a whole number, then 4 and 7,087,183.25 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 28,348,733
-1 28,348,733
Keep dividing by the next highest number until you cannot divide anymore.

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

1759834135818274,8975,78934,27948,79368,641341,551480,4874,049,81928,348,733
-1-7-59-83-413-581-827-4,897-5,789-34,279-48,793-68,641-341,551-480,487-4,049,819-28,348,733

More Examples

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