Q: What are the factor combinations of the number 372,536,011?

 A:
Positive:   1 x 37253601117 x 21913883163 x 2285497233 x 1598867577 x 6456432771 x 1344413961 x 940519809 x 37979
Negative: -1 x -372536011-17 x -21913883-163 x -2285497-233 x -1598867-577 x -645643-2771 x -134441-3961 x -94051-9809 x -37979


How do I find the factor combinations of the number 372,536,011?

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 372,536,011, 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.

1 372,536,011
-1 -372,536,011

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 372,536,011.

Example:
1 x 372,536,011 = 372,536,011
and
-1 x -372,536,011 = 372,536,011
Notice both answers equal 372,536,011

With that explanation out of the way, let's continue. Next, we take the number 372,536,011 and divide it by 2:

372,536,011 ÷ 2 = 186,268,005.5

If the quotient is a whole number, then 2 and 186,268,005.5 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:

1 372,536,011
-1 -372,536,011

Now, we try dividing 372,536,011 by 3:

372,536,011 ÷ 3 = 124,178,670.3333

If the quotient is a whole number, then 3 and 124,178,670.3333 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:

1 372,536,011
-1 -372,536,011

Let's try dividing by 4:

372,536,011 ÷ 4 = 93,134,002.75

If the quotient is a whole number, then 4 and 93,134,002.75 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:

1 372,536,011
-1 372,536,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1171632335772,7713,9619,80937,97994,051134,441645,6431,598,8672,285,49721,913,883372,536,011
-1-17-163-233-577-2,771-3,961-9,809-37,979-94,051-134,441-645,643-1,598,867-2,285,497-21,913,883-372,536,011

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