Q: What are the factor combinations of the number 352,061,563?

 A:
Positive:   1 x 3520615637 x 5029450953 x 6642671139 x 2532817371 x 948953973 x 3618316827 x 515697367 x 47789
Negative: -1 x -352061563-7 x -50294509-53 x -6642671-139 x -2532817-371 x -948953-973 x -361831-6827 x -51569-7367 x -47789


How do I find the factor combinations of the number 352,061,563?

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 352,061,563, 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.

1 352,061,563
-1 -352,061,563

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 352,061,563.

Example:
1 x 352,061,563 = 352,061,563
and
-1 x -352,061,563 = 352,061,563
Notice both answers equal 352,061,563

With that explanation out of the way, let's continue. Next, we take the number 352,061,563 and divide it by 2:

352,061,563 ÷ 2 = 176,030,781.5

If the quotient is a whole number, then 2 and 176,030,781.5 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:

1 352,061,563
-1 -352,061,563

Now, we try dividing 352,061,563 by 3:

352,061,563 ÷ 3 = 117,353,854.3333

If the quotient is a whole number, then 3 and 117,353,854.3333 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:

1 352,061,563
-1 -352,061,563

Let's try dividing by 4:

352,061,563 ÷ 4 = 88,015,390.75

If the quotient is a whole number, then 4 and 88,015,390.75 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:

1 352,061,563
-1 352,061,563
Keep dividing by the next highest number until you cannot divide anymore.

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

17531393719736,8277,36747,78951,569361,831948,9532,532,8176,642,67150,294,509352,061,563
-1-7-53-139-371-973-6,827-7,367-47,789-51,569-361,831-948,953-2,532,817-6,642,671-50,294,509-352,061,563

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