Q: What are the factor combinations of the number 48,106,051?

 A:
Positive:   1 x 481060517 x 687229347 x 102353373 x 658987329 x 146219511 x 941412003 x 240173431 x 14021
Negative: -1 x -48106051-7 x -6872293-47 x -1023533-73 x -658987-329 x -146219-511 x -94141-2003 x -24017-3431 x -14021


How do I find the factor combinations of the number 48,106,051?

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 48,106,051, 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 48,106,051
-1 -48,106,051

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 48,106,051.

Example:
1 x 48,106,051 = 48,106,051
and
-1 x -48,106,051 = 48,106,051
Notice both answers equal 48,106,051

With that explanation out of the way, let's continue. Next, we take the number 48,106,051 and divide it by 2:

48,106,051 ÷ 2 = 24,053,025.5

If the quotient is a whole number, then 2 and 24,053,025.5 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 48,106,051
-1 -48,106,051

Now, we try dividing 48,106,051 by 3:

48,106,051 ÷ 3 = 16,035,350.3333

If the quotient is a whole number, then 3 and 16,035,350.3333 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 48,106,051
-1 -48,106,051

Let's try dividing by 4:

48,106,051 ÷ 4 = 12,026,512.75

If the quotient is a whole number, then 4 and 12,026,512.75 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 48,106,051
-1 48,106,051
Keep dividing by the next highest number until you cannot divide anymore.

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

1747733295112,0033,43114,02124,01794,141146,219658,9871,023,5336,872,29348,106,051
-1-7-47-73-329-511-2,003-3,431-14,021-24,017-94,141-146,219-658,987-1,023,533-6,872,293-48,106,051

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