Q: What are the factor combinations of the number 365,610,497?

 A:
Positive:   1 x 3656104977 x 5223007131 x 11793887217 x 1684841373 x 9801892611 x 1400274517 x 8094111563 x 31619
Negative: -1 x -365610497-7 x -52230071-31 x -11793887-217 x -1684841-373 x -980189-2611 x -140027-4517 x -80941-11563 x -31619


How do I find the factor combinations of the number 365,610,497?

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 365,610,497, 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.

1 365,610,497
-1 -365,610,497

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 365,610,497.

Example:
1 x 365,610,497 = 365,610,497
and
-1 x -365,610,497 = 365,610,497
Notice both answers equal 365,610,497

With that explanation out of the way, let's continue. Next, we take the number 365,610,497 and divide it by 2:

365,610,497 ÷ 2 = 182,805,248.5

If the quotient is a whole number, then 2 and 182,805,248.5 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:

1 365,610,497
-1 -365,610,497

Now, we try dividing 365,610,497 by 3:

365,610,497 ÷ 3 = 121,870,165.6667

If the quotient is a whole number, then 3 and 121,870,165.6667 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:

1 365,610,497
-1 -365,610,497

Let's try dividing by 4:

365,610,497 ÷ 4 = 91,402,624.25

If the quotient is a whole number, then 4 and 91,402,624.25 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:

1 365,610,497
-1 365,610,497
Keep dividing by the next highest number until you cannot divide anymore.

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

17312173732,6114,51711,56331,61980,941140,027980,1891,684,84111,793,88752,230,071365,610,497
-1-7-31-217-373-2,611-4,517-11,563-31,619-80,941-140,027-980,189-1,684,841-11,793,887-52,230,071-365,610,497

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