Q: What are the factor combinations of the number 113,424,509?

 A:
Positive:   1 x 11342450911 x 1031131919 x 5969711173 x 655633209 x 5427011903 x 596033137 x 361573287 x 34507
Negative: -1 x -113424509-11 x -10311319-19 x -5969711-173 x -655633-209 x -542701-1903 x -59603-3137 x -36157-3287 x -34507


How do I find the factor combinations of the number 113,424,509?

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 113,424,509, 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.

1 113,424,509
-1 -113,424,509

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 113,424,509.

Example:
1 x 113,424,509 = 113,424,509
and
-1 x -113,424,509 = 113,424,509
Notice both answers equal 113,424,509

With that explanation out of the way, let's continue. Next, we take the number 113,424,509 and divide it by 2:

113,424,509 ÷ 2 = 56,712,254.5

If the quotient is a whole number, then 2 and 56,712,254.5 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:

1 113,424,509
-1 -113,424,509

Now, we try dividing 113,424,509 by 3:

113,424,509 ÷ 3 = 37,808,169.6667

If the quotient is a whole number, then 3 and 37,808,169.6667 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:

1 113,424,509
-1 -113,424,509

Let's try dividing by 4:

113,424,509 ÷ 4 = 28,356,127.25

If the quotient is a whole number, then 4 and 28,356,127.25 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:

1 113,424,509
-1 113,424,509
Keep dividing by the next highest number until you cannot divide anymore.

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

111191732091,9033,1373,28734,50736,15759,603542,701655,6335,969,71110,311,319113,424,509
-1-11-19-173-209-1,903-3,137-3,287-34,507-36,157-59,603-542,701-655,633-5,969,711-10,311,319-113,424,509

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