Q: What are the factor combinations of the number 138,587,455?

 A:
Positive:   1 x 1385874555 x 27717491167 x 829865269 x 515195617 x 224615835 x 1659731345 x 1030393085 x 44923
Negative: -1 x -138587455-5 x -27717491-167 x -829865-269 x -515195-617 x -224615-835 x -165973-1345 x -103039-3085 x -44923


How do I find the factor combinations of the number 138,587,455?

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 138,587,455, 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.

1 138,587,455
-1 -138,587,455

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 138,587,455.

Example:
1 x 138,587,455 = 138,587,455
and
-1 x -138,587,455 = 138,587,455
Notice both answers equal 138,587,455

With that explanation out of the way, let's continue. Next, we take the number 138,587,455 and divide it by 2:

138,587,455 ÷ 2 = 69,293,727.5

If the quotient is a whole number, then 2 and 69,293,727.5 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:

1 138,587,455
-1 -138,587,455

Now, we try dividing 138,587,455 by 3:

138,587,455 ÷ 3 = 46,195,818.3333

If the quotient is a whole number, then 3 and 46,195,818.3333 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:

1 138,587,455
-1 -138,587,455

Let's try dividing by 4:

138,587,455 ÷ 4 = 34,646,863.75

If the quotient is a whole number, then 4 and 34,646,863.75 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:

1 138,587,455
-1 138,587,455
Keep dividing by the next highest number until you cannot divide anymore.

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

151672696178351,3453,08544,923103,039165,973224,615515,195829,86527,717,491138,587,455
-1-5-167-269-617-835-1,345-3,085-44,923-103,039-165,973-224,615-515,195-829,865-27,717,491-138,587,455

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