Q: What are the factor combinations of the number 28,396,445?

 A:
Positive:   1 x 283964455 x 56792897 x 405663511 x 258149535 x 81132755 x 51629977 x 368785385 x 73757
Negative: -1 x -28396445-5 x -5679289-7 x -4056635-11 x -2581495-35 x -811327-55 x -516299-77 x -368785-385 x -73757


How do I find the factor combinations of the number 28,396,445?

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 28,396,445, 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 28,396,445
-1 -28,396,445

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 28,396,445.

Example:
1 x 28,396,445 = 28,396,445
and
-1 x -28,396,445 = 28,396,445
Notice both answers equal 28,396,445

With that explanation out of the way, let's continue. Next, we take the number 28,396,445 and divide it by 2:

28,396,445 ÷ 2 = 14,198,222.5

If the quotient is a whole number, then 2 and 14,198,222.5 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 28,396,445
-1 -28,396,445

Now, we try dividing 28,396,445 by 3:

28,396,445 ÷ 3 = 9,465,481.6667

If the quotient is a whole number, then 3 and 9,465,481.6667 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 28,396,445
-1 -28,396,445

Let's try dividing by 4:

28,396,445 ÷ 4 = 7,099,111.25

If the quotient is a whole number, then 4 and 7,099,111.25 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 28,396,445
-1 28,396,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738573,757368,785516,299811,3272,581,4954,056,6355,679,28928,396,445
-1-5-7-11-35-55-77-385-73,757-368,785-516,299-811,327-2,581,495-4,056,635-5,679,289-28,396,445

More Examples

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