Q: What are the factor combinations of the number 359,160,785?

 A:
Positive:   1 x 3591607855 x 7183215717 x 2112710585 x 4225421859 x 4181154295 x 836234919 x 7301514603 x 24595
Negative: -1 x -359160785-5 x -71832157-17 x -21127105-85 x -4225421-859 x -418115-4295 x -83623-4919 x -73015-14603 x -24595


How do I find the factor combinations of the number 359,160,785?

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 359,160,785, 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.

1 359,160,785
-1 -359,160,785

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 359,160,785.

Example:
1 x 359,160,785 = 359,160,785
and
-1 x -359,160,785 = 359,160,785
Notice both answers equal 359,160,785

With that explanation out of the way, let's continue. Next, we take the number 359,160,785 and divide it by 2:

359,160,785 ÷ 2 = 179,580,392.5

If the quotient is a whole number, then 2 and 179,580,392.5 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:

1 359,160,785
-1 -359,160,785

Now, we try dividing 359,160,785 by 3:

359,160,785 ÷ 3 = 119,720,261.6667

If the quotient is a whole number, then 3 and 119,720,261.6667 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:

1 359,160,785
-1 -359,160,785

Let's try dividing by 4:

359,160,785 ÷ 4 = 89,790,196.25

If the quotient is a whole number, then 4 and 89,790,196.25 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:

1 359,160,785
-1 359,160,785
Keep dividing by the next highest number until you cannot divide anymore.

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

1517858594,2954,91914,60324,59573,01583,623418,1154,225,42121,127,10571,832,157359,160,785
-1-5-17-85-859-4,295-4,919-14,603-24,595-73,015-83,623-418,115-4,225,421-21,127,105-71,832,157-359,160,785

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