Q: What are the factor combinations of the number 21,442,325?

 A:
Positive:   1 x 214423255 x 428846523 x 93227525 x 85769389 x 240925115 x 186455419 x 51175445 x 48185575 x 372912047 x 104752095 x 102352225 x 9637
Negative: -1 x -21442325-5 x -4288465-23 x -932275-25 x -857693-89 x -240925-115 x -186455-419 x -51175-445 x -48185-575 x -37291-2047 x -10475-2095 x -10235-2225 x -9637


How do I find the factor combinations of the number 21,442,325?

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 21,442,325, 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 21,442,325
-1 -21,442,325

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 21,442,325.

Example:
1 x 21,442,325 = 21,442,325
and
-1 x -21,442,325 = 21,442,325
Notice both answers equal 21,442,325

With that explanation out of the way, let's continue. Next, we take the number 21,442,325 and divide it by 2:

21,442,325 ÷ 2 = 10,721,162.5

If the quotient is a whole number, then 2 and 10,721,162.5 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 21,442,325
-1 -21,442,325

Now, we try dividing 21,442,325 by 3:

21,442,325 ÷ 3 = 7,147,441.6667

If the quotient is a whole number, then 3 and 7,147,441.6667 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 21,442,325
-1 -21,442,325

Let's try dividing by 4:

21,442,325 ÷ 4 = 5,360,581.25

If the quotient is a whole number, then 4 and 5,360,581.25 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 21,442,325
-1 21,442,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152325891154194455752,0472,0952,2259,63710,23510,47537,29148,18551,175186,455240,925857,693932,2754,288,46521,442,325
-1-5-23-25-89-115-419-445-575-2,047-2,095-2,225-9,637-10,235-10,475-37,291-48,185-51,175-186,455-240,925-857,693-932,275-4,288,465-21,442,325

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