Q: What are the factor combinations of the number 378,250,801?

 A:
Positive:   1 x 37825080123 x 1644568789 x 4250009257 x 1471793719 x 5260792047 x 1847835911 x 6399116537 x 22873
Negative: -1 x -378250801-23 x -16445687-89 x -4250009-257 x -1471793-719 x -526079-2047 x -184783-5911 x -63991-16537 x -22873


How do I find the factor combinations of the number 378,250,801?

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 378,250,801, 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.

1 378,250,801
-1 -378,250,801

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 378,250,801.

Example:
1 x 378,250,801 = 378,250,801
and
-1 x -378,250,801 = 378,250,801
Notice both answers equal 378,250,801

With that explanation out of the way, let's continue. Next, we take the number 378,250,801 and divide it by 2:

378,250,801 ÷ 2 = 189,125,400.5

If the quotient is a whole number, then 2 and 189,125,400.5 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:

1 378,250,801
-1 -378,250,801

Now, we try dividing 378,250,801 by 3:

378,250,801 ÷ 3 = 126,083,600.3333

If the quotient is a whole number, then 3 and 126,083,600.3333 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:

1 378,250,801
-1 -378,250,801

Let's try dividing by 4:

378,250,801 ÷ 4 = 94,562,700.25

If the quotient is a whole number, then 4 and 94,562,700.25 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:

1 378,250,801
-1 378,250,801
Keep dividing by the next highest number until you cannot divide anymore.

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

123892577192,0475,91116,53722,87363,991184,783526,0791,471,7934,250,00916,445,687378,250,801
-1-23-89-257-719-2,047-5,911-16,537-22,873-63,991-184,783-526,079-1,471,793-4,250,009-16,445,687-378,250,801

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