Q: What are the factor combinations of the number 43,204,343?

 A:
Positive:   1 x 432043437 x 617204913 x 332341159 x 73227791 x 474773169 x 255647413 x 104611619 x 69797767 x 563291183 x 365214333 x 99715369 x 8047
Negative: -1 x -43204343-7 x -6172049-13 x -3323411-59 x -732277-91 x -474773-169 x -255647-413 x -104611-619 x -69797-767 x -56329-1183 x -36521-4333 x -9971-5369 x -8047


How do I find the factor combinations of the number 43,204,343?

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 43,204,343, 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 43,204,343
-1 -43,204,343

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 43,204,343.

Example:
1 x 43,204,343 = 43,204,343
and
-1 x -43,204,343 = 43,204,343
Notice both answers equal 43,204,343

With that explanation out of the way, let's continue. Next, we take the number 43,204,343 and divide it by 2:

43,204,343 ÷ 2 = 21,602,171.5

If the quotient is a whole number, then 2 and 21,602,171.5 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 43,204,343
-1 -43,204,343

Now, we try dividing 43,204,343 by 3:

43,204,343 ÷ 3 = 14,401,447.6667

If the quotient is a whole number, then 3 and 14,401,447.6667 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 43,204,343
-1 -43,204,343

Let's try dividing by 4:

43,204,343 ÷ 4 = 10,801,085.75

If the quotient is a whole number, then 4 and 10,801,085.75 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 43,204,343
-1 43,204,343
Keep dividing by the next highest number until you cannot divide anymore.

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

171359911694136197671,1834,3335,3698,0479,97136,52156,32969,797104,611255,647474,773732,2773,323,4116,172,04943,204,343
-1-7-13-59-91-169-413-619-767-1,183-4,333-5,369-8,047-9,971-36,521-56,329-69,797-104,611-255,647-474,773-732,277-3,323,411-6,172,049-43,204,343

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