Q: What are the factor combinations of the number 43,400,225?

 A:
Positive:   1 x 434002255 x 868004511 x 394547525 x 173600955 x 78909597 x 447425275 x 157819485 x 894851067 x 406751627 x 266752425 x 178975335 x 8135
Negative: -1 x -43400225-5 x -8680045-11 x -3945475-25 x -1736009-55 x -789095-97 x -447425-275 x -157819-485 x -89485-1067 x -40675-1627 x -26675-2425 x -17897-5335 x -8135


How do I find the factor combinations of the number 43,400,225?

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 43,400,225, 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 43,400,225
-1 -43,400,225

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 43,400,225.

Example:
1 x 43,400,225 = 43,400,225
and
-1 x -43,400,225 = 43,400,225
Notice both answers equal 43,400,225

With that explanation out of the way, let's continue. Next, we take the number 43,400,225 and divide it by 2:

43,400,225 ÷ 2 = 21,700,112.5

If the quotient is a whole number, then 2 and 21,700,112.5 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 43,400,225
-1 -43,400,225

Now, we try dividing 43,400,225 by 3:

43,400,225 ÷ 3 = 14,466,741.6667

If the quotient is a whole number, then 3 and 14,466,741.6667 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 43,400,225
-1 -43,400,225

Let's try dividing by 4:

43,400,225 ÷ 4 = 10,850,056.25

If the quotient is a whole number, then 4 and 10,850,056.25 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 43,400,225
-1 43,400,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555972754851,0671,6272,4255,3358,13517,89726,67540,67589,485157,819447,425789,0951,736,0093,945,4758,680,04543,400,225
-1-5-11-25-55-97-275-485-1,067-1,627-2,425-5,335-8,135-17,897-26,675-40,675-89,485-157,819-447,425-789,095-1,736,009-3,945,475-8,680,045-43,400,225

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