Q: What are the factor combinations of the number 325,364,743?

 A:
Positive:   1 x 32536474311 x 29578613103 x 3158881211 x 15420131133 x 2871711361 x 2390632321 x 14018314971 x 21733
Negative: -1 x -325364743-11 x -29578613-103 x -3158881-211 x -1542013-1133 x -287171-1361 x -239063-2321 x -140183-14971 x -21733


How do I find the factor combinations of the number 325,364,743?

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 325,364,743, 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.

1 325,364,743
-1 -325,364,743

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 325,364,743.

Example:
1 x 325,364,743 = 325,364,743
and
-1 x -325,364,743 = 325,364,743
Notice both answers equal 325,364,743

With that explanation out of the way, let's continue. Next, we take the number 325,364,743 and divide it by 2:

325,364,743 ÷ 2 = 162,682,371.5

If the quotient is a whole number, then 2 and 162,682,371.5 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:

1 325,364,743
-1 -325,364,743

Now, we try dividing 325,364,743 by 3:

325,364,743 ÷ 3 = 108,454,914.3333

If the quotient is a whole number, then 3 and 108,454,914.3333 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:

1 325,364,743
-1 -325,364,743

Let's try dividing by 4:

325,364,743 ÷ 4 = 81,341,185.75

If the quotient is a whole number, then 4 and 81,341,185.75 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:

1 325,364,743
-1 325,364,743
Keep dividing by the next highest number until you cannot divide anymore.

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

1111032111,1331,3612,32114,97121,733140,183239,063287,1711,542,0133,158,88129,578,613325,364,743
-1-11-103-211-1,133-1,361-2,321-14,971-21,733-140,183-239,063-287,171-1,542,013-3,158,881-29,578,613-325,364,743

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