Q: What are the factor combinations of the number 353,224,547?

 A:
Positive:   1 x 35322454713 x 2717111923 x 15357589193 x 1830179299 x 11813532509 x 1407834439 x 795736121 x 57707
Negative: -1 x -353224547-13 x -27171119-23 x -15357589-193 x -1830179-299 x -1181353-2509 x -140783-4439 x -79573-6121 x -57707


How do I find the factor combinations of the number 353,224,547?

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 353,224,547, 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.

1 353,224,547
-1 -353,224,547

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 353,224,547.

Example:
1 x 353,224,547 = 353,224,547
and
-1 x -353,224,547 = 353,224,547
Notice both answers equal 353,224,547

With that explanation out of the way, let's continue. Next, we take the number 353,224,547 and divide it by 2:

353,224,547 ÷ 2 = 176,612,273.5

If the quotient is a whole number, then 2 and 176,612,273.5 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:

1 353,224,547
-1 -353,224,547

Now, we try dividing 353,224,547 by 3:

353,224,547 ÷ 3 = 117,741,515.6667

If the quotient is a whole number, then 3 and 117,741,515.6667 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:

1 353,224,547
-1 -353,224,547

Let's try dividing by 4:

353,224,547 ÷ 4 = 88,306,136.75

If the quotient is a whole number, then 4 and 88,306,136.75 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:

1 353,224,547
-1 353,224,547
Keep dividing by the next highest number until you cannot divide anymore.

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

113231932992,5094,4396,12157,70779,573140,7831,181,3531,830,17915,357,58927,171,119353,224,547
-1-13-23-193-299-2,509-4,439-6,121-57,707-79,573-140,783-1,181,353-1,830,179-15,357,589-27,171,119-353,224,547

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