Q: What are the factor combinations of the number 138,180,035?

 A:
Positive:   1 x 1381800355 x 276360077 x 1974000535 x 3948001463 x 2984452315 x 596893241 x 426358527 x 16205
Negative: -1 x -138180035-5 x -27636007-7 x -19740005-35 x -3948001-463 x -298445-2315 x -59689-3241 x -42635-8527 x -16205


How do I find the factor combinations of the number 138,180,035?

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 138,180,035, 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.

1 138,180,035
-1 -138,180,035

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 138,180,035.

Example:
1 x 138,180,035 = 138,180,035
and
-1 x -138,180,035 = 138,180,035
Notice both answers equal 138,180,035

With that explanation out of the way, let's continue. Next, we take the number 138,180,035 and divide it by 2:

138,180,035 ÷ 2 = 69,090,017.5

If the quotient is a whole number, then 2 and 69,090,017.5 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:

1 138,180,035
-1 -138,180,035

Now, we try dividing 138,180,035 by 3:

138,180,035 ÷ 3 = 46,060,011.6667

If the quotient is a whole number, then 3 and 46,060,011.6667 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:

1 138,180,035
-1 -138,180,035

Let's try dividing by 4:

138,180,035 ÷ 4 = 34,545,008.75

If the quotient is a whole number, then 4 and 34,545,008.75 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:

1 138,180,035
-1 138,180,035
Keep dividing by the next highest number until you cannot divide anymore.

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

157354632,3153,2418,52716,20542,63559,689298,4453,948,00119,740,00527,636,007138,180,035
-1-5-7-35-463-2,315-3,241-8,527-16,205-42,635-59,689-298,445-3,948,001-19,740,005-27,636,007-138,180,035

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