Q: What are the factor combinations of the number 48,452,287?

 A:
Positive:   1 x 4845228713 x 372709931 x 1562977251 x 193037403 x 120229479 x 1011533263 x 148496227 x 7781
Negative: -1 x -48452287-13 x -3727099-31 x -1562977-251 x -193037-403 x -120229-479 x -101153-3263 x -14849-6227 x -7781


How do I find the factor combinations of the number 48,452,287?

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 48,452,287, 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 48,452,287
-1 -48,452,287

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 48,452,287.

Example:
1 x 48,452,287 = 48,452,287
and
-1 x -48,452,287 = 48,452,287
Notice both answers equal 48,452,287

With that explanation out of the way, let's continue. Next, we take the number 48,452,287 and divide it by 2:

48,452,287 ÷ 2 = 24,226,143.5

If the quotient is a whole number, then 2 and 24,226,143.5 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 48,452,287
-1 -48,452,287

Now, we try dividing 48,452,287 by 3:

48,452,287 ÷ 3 = 16,150,762.3333

If the quotient is a whole number, then 3 and 16,150,762.3333 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 48,452,287
-1 -48,452,287

Let's try dividing by 4:

48,452,287 ÷ 4 = 12,113,071.75

If the quotient is a whole number, then 4 and 12,113,071.75 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 48,452,287
-1 48,452,287
Keep dividing by the next highest number until you cannot divide anymore.

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

113312514034793,2636,2277,78114,849101,153120,229193,0371,562,9773,727,09948,452,287
-1-13-31-251-403-479-3,263-6,227-7,781-14,849-101,153-120,229-193,037-1,562,977-3,727,099-48,452,287

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