Q: What are the factor combinations of the number 352,344,499?

 A:
Positive:   1 x 35234449913 x 2710342317 x 20726147221 x 1594319359 x 9814614441 x 793394667 x 754976103 x 57733
Negative: -1 x -352344499-13 x -27103423-17 x -20726147-221 x -1594319-359 x -981461-4441 x -79339-4667 x -75497-6103 x -57733


How do I find the factor combinations of the number 352,344,499?

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 352,344,499, 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.

1 352,344,499
-1 -352,344,499

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 352,344,499.

Example:
1 x 352,344,499 = 352,344,499
and
-1 x -352,344,499 = 352,344,499
Notice both answers equal 352,344,499

With that explanation out of the way, let's continue. Next, we take the number 352,344,499 and divide it by 2:

352,344,499 ÷ 2 = 176,172,249.5

If the quotient is a whole number, then 2 and 176,172,249.5 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:

1 352,344,499
-1 -352,344,499

Now, we try dividing 352,344,499 by 3:

352,344,499 ÷ 3 = 117,448,166.3333

If the quotient is a whole number, then 3 and 117,448,166.3333 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:

1 352,344,499
-1 -352,344,499

Let's try dividing by 4:

352,344,499 ÷ 4 = 88,086,124.75

If the quotient is a whole number, then 4 and 88,086,124.75 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:

1 352,344,499
-1 352,344,499
Keep dividing by the next highest number until you cannot divide anymore.

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

113172213594,4414,6676,10357,73375,49779,339981,4611,594,31920,726,14727,103,423352,344,499
-1-13-17-221-359-4,441-4,667-6,103-57,733-75,497-79,339-981,461-1,594,319-20,726,147-27,103,423-352,344,499

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