Q: What are the factor combinations of the number 48,466,633?

 A:
Positive:   1 x 4846663337 x 130990941 x 118211343 x 1127131743 x 652311517 x 319491591 x 304631763 x 27491
Negative: -1 x -48466633-37 x -1309909-41 x -1182113-43 x -1127131-743 x -65231-1517 x -31949-1591 x -30463-1763 x -27491


How do I find the factor combinations of the number 48,466,633?

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 48,466,633, 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 48,466,633
-1 -48,466,633

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 48,466,633.

Example:
1 x 48,466,633 = 48,466,633
and
-1 x -48,466,633 = 48,466,633
Notice both answers equal 48,466,633

With that explanation out of the way, let's continue. Next, we take the number 48,466,633 and divide it by 2:

48,466,633 ÷ 2 = 24,233,316.5

If the quotient is a whole number, then 2 and 24,233,316.5 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 48,466,633
-1 -48,466,633

Now, we try dividing 48,466,633 by 3:

48,466,633 ÷ 3 = 16,155,544.3333

If the quotient is a whole number, then 3 and 16,155,544.3333 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 48,466,633
-1 -48,466,633

Let's try dividing by 4:

48,466,633 ÷ 4 = 12,116,658.25

If the quotient is a whole number, then 4 and 12,116,658.25 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 48,466,633
-1 48,466,633
Keep dividing by the next highest number until you cannot divide anymore.

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

13741437431,5171,5911,76327,49130,46331,94965,2311,127,1311,182,1131,309,90948,466,633
-1-37-41-43-743-1,517-1,591-1,763-27,491-30,463-31,949-65,231-1,127,131-1,182,113-1,309,909-48,466,633

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