Q: What are the factor combinations of the number 120,157,063?

 A:
Positive:   1 x 12015706313 x 924285129 x 414334767 x 179338971 x 1692353377 x 318719871 x 137953923 x 1301811943 x 618412059 x 583574489 x 267674757 x 25259
Negative: -1 x -120157063-13 x -9242851-29 x -4143347-67 x -1793389-71 x -1692353-377 x -318719-871 x -137953-923 x -130181-1943 x -61841-2059 x -58357-4489 x -26767-4757 x -25259


How do I find the factor combinations of the number 120,157,063?

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 120,157,063, 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.

1 120,157,063
-1 -120,157,063

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 120,157,063.

Example:
1 x 120,157,063 = 120,157,063
and
-1 x -120,157,063 = 120,157,063
Notice both answers equal 120,157,063

With that explanation out of the way, let's continue. Next, we take the number 120,157,063 and divide it by 2:

120,157,063 ÷ 2 = 60,078,531.5

If the quotient is a whole number, then 2 and 60,078,531.5 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:

1 120,157,063
-1 -120,157,063

Now, we try dividing 120,157,063 by 3:

120,157,063 ÷ 3 = 40,052,354.3333

If the quotient is a whole number, then 3 and 40,052,354.3333 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:

1 120,157,063
-1 -120,157,063

Let's try dividing by 4:

120,157,063 ÷ 4 = 30,039,265.75

If the quotient is a whole number, then 4 and 30,039,265.75 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:

1 120,157,063
-1 120,157,063
Keep dividing by the next highest number until you cannot divide anymore.

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

1132967713778719231,9432,0594,4894,75725,25926,76758,35761,841130,181137,953318,7191,692,3531,793,3894,143,3479,242,851120,157,063
-1-13-29-67-71-377-871-923-1,943-2,059-4,489-4,757-25,259-26,767-58,357-61,841-130,181-137,953-318,719-1,692,353-1,793,389-4,143,347-9,242,851-120,157,063

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