Q: What are the factor combinations of the number 161,165,753?

 A:
Positive:   1 x 1611657537 x 2302367949 x 328909767 x 2405459343 x 469871469 x 3436373283 x 490917013 x 22981
Negative: -1 x -161165753-7 x -23023679-49 x -3289097-67 x -2405459-343 x -469871-469 x -343637-3283 x -49091-7013 x -22981


How do I find the factor combinations of the number 161,165,753?

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 161,165,753, 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.

1 161,165,753
-1 -161,165,753

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 161,165,753.

Example:
1 x 161,165,753 = 161,165,753
and
-1 x -161,165,753 = 161,165,753
Notice both answers equal 161,165,753

With that explanation out of the way, let's continue. Next, we take the number 161,165,753 and divide it by 2:

161,165,753 ÷ 2 = 80,582,876.5

If the quotient is a whole number, then 2 and 80,582,876.5 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:

1 161,165,753
-1 -161,165,753

Now, we try dividing 161,165,753 by 3:

161,165,753 ÷ 3 = 53,721,917.6667

If the quotient is a whole number, then 3 and 53,721,917.6667 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:

1 161,165,753
-1 -161,165,753

Let's try dividing by 4:

161,165,753 ÷ 4 = 40,291,438.25

If the quotient is a whole number, then 4 and 40,291,438.25 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:

1 161,165,753
-1 161,165,753
Keep dividing by the next highest number until you cannot divide anymore.

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

1749673434693,2837,01322,98149,091343,637469,8712,405,4593,289,09723,023,679161,165,753
-1-7-49-67-343-469-3,283-7,013-22,981-49,091-343,637-469,871-2,405,459-3,289,097-23,023,679-161,165,753

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