Q: What are the factor combinations of the number 43,552,315?

 A:
Positive:   1 x 435523155 x 871046347 x 926645235 x 185329241 x 180715769 x 566351205 x 361433845 x 11327
Negative: -1 x -43552315-5 x -8710463-47 x -926645-235 x -185329-241 x -180715-769 x -56635-1205 x -36143-3845 x -11327


How do I find the factor combinations of the number 43,552,315?

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 43,552,315, 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 43,552,315
-1 -43,552,315

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 43,552,315.

Example:
1 x 43,552,315 = 43,552,315
and
-1 x -43,552,315 = 43,552,315
Notice both answers equal 43,552,315

With that explanation out of the way, let's continue. Next, we take the number 43,552,315 and divide it by 2:

43,552,315 ÷ 2 = 21,776,157.5

If the quotient is a whole number, then 2 and 21,776,157.5 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 43,552,315
-1 -43,552,315

Now, we try dividing 43,552,315 by 3:

43,552,315 ÷ 3 = 14,517,438.3333

If the quotient is a whole number, then 3 and 14,517,438.3333 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 43,552,315
-1 -43,552,315

Let's try dividing by 4:

43,552,315 ÷ 4 = 10,888,078.75

If the quotient is a whole number, then 4 and 10,888,078.75 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 43,552,315
-1 43,552,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15472352417691,2053,84511,32736,14356,635180,715185,329926,6458,710,46343,552,315
-1-5-47-235-241-769-1,205-3,845-11,327-36,143-56,635-180,715-185,329-926,645-8,710,463-43,552,315

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