Q: What are the factor combinations of the number 165,825,751?

 A:
Positive:   1 x 1658257517 x 2368939313 x 1275582749 x 338419991 x 1822261343 x 483457637 x 2603234459 x 37189
Negative: -1 x -165825751-7 x -23689393-13 x -12755827-49 x -3384199-91 x -1822261-343 x -483457-637 x -260323-4459 x -37189


How do I find the factor combinations of the number 165,825,751?

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 165,825,751, 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.

1 165,825,751
-1 -165,825,751

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 165,825,751.

Example:
1 x 165,825,751 = 165,825,751
and
-1 x -165,825,751 = 165,825,751
Notice both answers equal 165,825,751

With that explanation out of the way, let's continue. Next, we take the number 165,825,751 and divide it by 2:

165,825,751 ÷ 2 = 82,912,875.5

If the quotient is a whole number, then 2 and 82,912,875.5 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:

1 165,825,751
-1 -165,825,751

Now, we try dividing 165,825,751 by 3:

165,825,751 ÷ 3 = 55,275,250.3333

If the quotient is a whole number, then 3 and 55,275,250.3333 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:

1 165,825,751
-1 -165,825,751

Let's try dividing by 4:

165,825,751 ÷ 4 = 41,456,437.75

If the quotient is a whole number, then 4 and 41,456,437.75 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:

1 165,825,751
-1 165,825,751
Keep dividing by the next highest number until you cannot divide anymore.

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

171349913436374,45937,189260,323483,4571,822,2613,384,19912,755,82723,689,393165,825,751
-1-7-13-49-91-343-637-4,459-37,189-260,323-483,457-1,822,261-3,384,199-12,755,827-23,689,393-165,825,751

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