Q: What are the factor combinations of the number 48,460,643?

 A:
Positive:   1 x 484606437 x 692294911 x 440551377 x 629359263 x 1842611841 x 263232393 x 202512893 x 16751
Negative: -1 x -48460643-7 x -6922949-11 x -4405513-77 x -629359-263 x -184261-1841 x -26323-2393 x -20251-2893 x -16751


How do I find the factor combinations of the number 48,460,643?

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 48,460,643, 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 48,460,643
-1 -48,460,643

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 48,460,643.

Example:
1 x 48,460,643 = 48,460,643
and
-1 x -48,460,643 = 48,460,643
Notice both answers equal 48,460,643

With that explanation out of the way, let's continue. Next, we take the number 48,460,643 and divide it by 2:

48,460,643 ÷ 2 = 24,230,321.5

If the quotient is a whole number, then 2 and 24,230,321.5 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 48,460,643
-1 -48,460,643

Now, we try dividing 48,460,643 by 3:

48,460,643 ÷ 3 = 16,153,547.6667

If the quotient is a whole number, then 3 and 16,153,547.6667 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 48,460,643
-1 -48,460,643

Let's try dividing by 4:

48,460,643 ÷ 4 = 12,115,160.75

If the quotient is a whole number, then 4 and 12,115,160.75 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 48,460,643
-1 48,460,643
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772631,8412,3932,89316,75120,25126,323184,261629,3594,405,5136,922,94948,460,643
-1-7-11-77-263-1,841-2,393-2,893-16,751-20,251-26,323-184,261-629,359-4,405,513-6,922,949-48,460,643

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