Q: What are the factor combinations of the number 320,133,035?

 A:
Positive:   1 x 3201330355 x 6402660717 x 1883135567 x 477810585 x 3766271335 x 955621839 x 3815651139 x 2810654195 x 763134489 x 713155695 x 5621314263 x 22445
Negative: -1 x -320133035-5 x -64026607-17 x -18831355-67 x -4778105-85 x -3766271-335 x -955621-839 x -381565-1139 x -281065-4195 x -76313-4489 x -71315-5695 x -56213-14263 x -22445


How do I find the factor combinations of the number 320,133,035?

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 320,133,035, 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.

1 320,133,035
-1 -320,133,035

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 320,133,035.

Example:
1 x 320,133,035 = 320,133,035
and
-1 x -320,133,035 = 320,133,035
Notice both answers equal 320,133,035

With that explanation out of the way, let's continue. Next, we take the number 320,133,035 and divide it by 2:

320,133,035 ÷ 2 = 160,066,517.5

If the quotient is a whole number, then 2 and 160,066,517.5 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:

1 320,133,035
-1 -320,133,035

Now, we try dividing 320,133,035 by 3:

320,133,035 ÷ 3 = 106,711,011.6667

If the quotient is a whole number, then 3 and 106,711,011.6667 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:

1 320,133,035
-1 -320,133,035

Let's try dividing by 4:

320,133,035 ÷ 4 = 80,033,258.75

If the quotient is a whole number, then 4 and 80,033,258.75 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:

1 320,133,035
-1 320,133,035
Keep dividing by the next highest number until you cannot divide anymore.

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

151767853358391,1394,1954,4895,69514,26322,44556,21371,31576,313281,065381,565955,6213,766,2714,778,10518,831,35564,026,607320,133,035
-1-5-17-67-85-335-839-1,139-4,195-4,489-5,695-14,263-22,445-56,213-71,315-76,313-281,065-381,565-955,621-3,766,271-4,778,105-18,831,355-64,026,607-320,133,035

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