Q: What are the factor combinations of the number 43,042,315?

 A:
Positive:   1 x 430423155 x 860846319 x 226538523 x 187140595 x 453077115 x 374281437 x 984952185 x 19699
Negative: -1 x -43042315-5 x -8608463-19 x -2265385-23 x -1871405-95 x -453077-115 x -374281-437 x -98495-2185 x -19699


How do I find the factor combinations of the number 43,042,315?

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 43,042,315, 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 43,042,315
-1 -43,042,315

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 43,042,315.

Example:
1 x 43,042,315 = 43,042,315
and
-1 x -43,042,315 = 43,042,315
Notice both answers equal 43,042,315

With that explanation out of the way, let's continue. Next, we take the number 43,042,315 and divide it by 2:

43,042,315 ÷ 2 = 21,521,157.5

If the quotient is a whole number, then 2 and 21,521,157.5 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 43,042,315
-1 -43,042,315

Now, we try dividing 43,042,315 by 3:

43,042,315 ÷ 3 = 14,347,438.3333

If the quotient is a whole number, then 3 and 14,347,438.3333 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 43,042,315
-1 -43,042,315

Let's try dividing by 4:

43,042,315 ÷ 4 = 10,760,578.75

If the quotient is a whole number, then 4 and 10,760,578.75 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 43,042,315
-1 43,042,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154372,18519,69998,495374,281453,0771,871,4052,265,3858,608,46343,042,315
-1-5-19-23-95-115-437-2,185-19,699-98,495-374,281-453,077-1,871,405-2,265,385-8,608,463-43,042,315

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