Q: What are the factor combinations of the number 352,235,851?

 A:
Positive:   1 x 35223585111 x 3202144119 x 18538729149 x 2363999209 x 16853391639 x 2149092831 x 12442111311 x 31141
Negative: -1 x -352235851-11 x -32021441-19 x -18538729-149 x -2363999-209 x -1685339-1639 x -214909-2831 x -124421-11311 x -31141


How do I find the factor combinations of the number 352,235,851?

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 352,235,851, 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.

1 352,235,851
-1 -352,235,851

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 352,235,851.

Example:
1 x 352,235,851 = 352,235,851
and
-1 x -352,235,851 = 352,235,851
Notice both answers equal 352,235,851

With that explanation out of the way, let's continue. Next, we take the number 352,235,851 and divide it by 2:

352,235,851 ÷ 2 = 176,117,925.5

If the quotient is a whole number, then 2 and 176,117,925.5 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:

1 352,235,851
-1 -352,235,851

Now, we try dividing 352,235,851 by 3:

352,235,851 ÷ 3 = 117,411,950.3333

If the quotient is a whole number, then 3 and 117,411,950.3333 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:

1 352,235,851
-1 -352,235,851

Let's try dividing by 4:

352,235,851 ÷ 4 = 88,058,962.75

If the quotient is a whole number, then 4 and 88,058,962.75 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:

1 352,235,851
-1 352,235,851
Keep dividing by the next highest number until you cannot divide anymore.

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

111191492091,6392,83111,31131,141124,421214,9091,685,3392,363,99918,538,72932,021,441352,235,851
-1-11-19-149-209-1,639-2,831-11,311-31,141-124,421-214,909-1,685,339-2,363,999-18,538,729-32,021,441-352,235,851

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