Q: What are the factor combinations of the number 43,001,387?

 A:
Positive:   1 x 4300138711 x 390921713 x 330779983 x 518089143 x 300709913 x 470991079 x 398533623 x 11869
Negative: -1 x -43001387-11 x -3909217-13 x -3307799-83 x -518089-143 x -300709-913 x -47099-1079 x -39853-3623 x -11869


How do I find the factor combinations of the number 43,001,387?

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 43,001,387, 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 43,001,387
-1 -43,001,387

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 43,001,387.

Example:
1 x 43,001,387 = 43,001,387
and
-1 x -43,001,387 = 43,001,387
Notice both answers equal 43,001,387

With that explanation out of the way, let's continue. Next, we take the number 43,001,387 and divide it by 2:

43,001,387 ÷ 2 = 21,500,693.5

If the quotient is a whole number, then 2 and 21,500,693.5 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 43,001,387
-1 -43,001,387

Now, we try dividing 43,001,387 by 3:

43,001,387 ÷ 3 = 14,333,795.6667

If the quotient is a whole number, then 3 and 14,333,795.6667 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 43,001,387
-1 -43,001,387

Let's try dividing by 4:

43,001,387 ÷ 4 = 10,750,346.75

If the quotient is a whole number, then 4 and 10,750,346.75 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 43,001,387
-1 43,001,387
Keep dividing by the next highest number until you cannot divide anymore.

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

11113831439131,0793,62311,86939,85347,099300,709518,0893,307,7993,909,21743,001,387
-1-11-13-83-143-913-1,079-3,623-11,869-39,853-47,099-300,709-518,089-3,307,799-3,909,217-43,001,387

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