Q: What are the factor combinations of the number 364,042,459?

 A:
Positive:   1 x 36404245911 x 3309476923 x 1582793373 x 4986883253 x 1438903529 x 688171803 x 453353857 x 4247871679 x 2168215819 x 625619427 x 3861718469 x 19711
Negative: -1 x -364042459-11 x -33094769-23 x -15827933-73 x -4986883-253 x -1438903-529 x -688171-803 x -453353-857 x -424787-1679 x -216821-5819 x -62561-9427 x -38617-18469 x -19711


How do I find the factor combinations of the number 364,042,459?

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 364,042,459, 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.

1 364,042,459
-1 -364,042,459

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 364,042,459.

Example:
1 x 364,042,459 = 364,042,459
and
-1 x -364,042,459 = 364,042,459
Notice both answers equal 364,042,459

With that explanation out of the way, let's continue. Next, we take the number 364,042,459 and divide it by 2:

364,042,459 ÷ 2 = 182,021,229.5

If the quotient is a whole number, then 2 and 182,021,229.5 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:

1 364,042,459
-1 -364,042,459

Now, we try dividing 364,042,459 by 3:

364,042,459 ÷ 3 = 121,347,486.3333

If the quotient is a whole number, then 3 and 121,347,486.3333 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:

1 364,042,459
-1 -364,042,459

Let's try dividing by 4:

364,042,459 ÷ 4 = 91,010,614.75

If the quotient is a whole number, then 4 and 91,010,614.75 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:

1 364,042,459
-1 364,042,459
Keep dividing by the next highest number until you cannot divide anymore.

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

11123732535298038571,6795,8199,42718,46919,71138,61762,561216,821424,787453,353688,1711,438,9034,986,88315,827,93333,094,769364,042,459
-1-11-23-73-253-529-803-857-1,679-5,819-9,427-18,469-19,711-38,617-62,561-216,821-424,787-453,353-688,171-1,438,903-4,986,883-15,827,933-33,094,769-364,042,459

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