Q: What are the factor combinations of the number 21,443,429?

 A:
Positive:   1 x 214434297 x 306334723 x 93232349 x 43762153 x 404593161 x 133189359 x 59731371 x 577991127 x 190271219 x 175912513 x 85332597 x 8257
Negative: -1 x -21443429-7 x -3063347-23 x -932323-49 x -437621-53 x -404593-161 x -133189-359 x -59731-371 x -57799-1127 x -19027-1219 x -17591-2513 x -8533-2597 x -8257


How do I find the factor combinations of the number 21,443,429?

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 21,443,429, 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 21,443,429
-1 -21,443,429

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 21,443,429.

Example:
1 x 21,443,429 = 21,443,429
and
-1 x -21,443,429 = 21,443,429
Notice both answers equal 21,443,429

With that explanation out of the way, let's continue. Next, we take the number 21,443,429 and divide it by 2:

21,443,429 ÷ 2 = 10,721,714.5

If the quotient is a whole number, then 2 and 10,721,714.5 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 21,443,429
-1 -21,443,429

Now, we try dividing 21,443,429 by 3:

21,443,429 ÷ 3 = 7,147,809.6667

If the quotient is a whole number, then 3 and 7,147,809.6667 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 21,443,429
-1 -21,443,429

Let's try dividing by 4:

21,443,429 ÷ 4 = 5,360,857.25

If the quotient is a whole number, then 4 and 5,360,857.25 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 21,443,429
-1 21,443,429
Keep dividing by the next highest number until you cannot divide anymore.

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

172349531613593711,1271,2192,5132,5978,2578,53317,59119,02757,79959,731133,189404,593437,621932,3233,063,34721,443,429
-1-7-23-49-53-161-359-371-1,127-1,219-2,513-2,597-8,257-8,533-17,591-19,027-57,799-59,731-133,189-404,593-437,621-932,323-3,063,347-21,443,429

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