Q: What are the factor combinations of the number 36,432,161?

 A:
Positive:   1 x 3643216123 x 158400731 x 117523137 x 984653713 x 51097851 x 428111147 x 317631381 x 26381
Negative: -1 x -36432161-23 x -1584007-31 x -1175231-37 x -984653-713 x -51097-851 x -42811-1147 x -31763-1381 x -26381


How do I find the factor combinations of the number 36,432,161?

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 36,432,161, 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 36,432,161
-1 -36,432,161

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 36,432,161.

Example:
1 x 36,432,161 = 36,432,161
and
-1 x -36,432,161 = 36,432,161
Notice both answers equal 36,432,161

With that explanation out of the way, let's continue. Next, we take the number 36,432,161 and divide it by 2:

36,432,161 ÷ 2 = 18,216,080.5

If the quotient is a whole number, then 2 and 18,216,080.5 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 36,432,161
-1 -36,432,161

Now, we try dividing 36,432,161 by 3:

36,432,161 ÷ 3 = 12,144,053.6667

If the quotient is a whole number, then 3 and 12,144,053.6667 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 36,432,161
-1 -36,432,161

Let's try dividing by 4:

36,432,161 ÷ 4 = 9,108,040.25

If the quotient is a whole number, then 4 and 9,108,040.25 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 36,432,161
-1 36,432,161
Keep dividing by the next highest number until you cannot divide anymore.

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

12331377138511,1471,38126,38131,76342,81151,097984,6531,175,2311,584,00736,432,161
-1-23-31-37-713-851-1,147-1,381-26,381-31,763-42,811-51,097-984,653-1,175,231-1,584,007-36,432,161

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