Q: What are the factor combinations of the number 46,825,505?

 A:
Positive:   1 x 468255055 x 9365101113 x 414385179 x 261595463 x 101135565 x 82877895 x 523192315 x 20227
Negative: -1 x -46825505-5 x -9365101-113 x -414385-179 x -261595-463 x -101135-565 x -82877-895 x -52319-2315 x -20227


How do I find the factor combinations of the number 46,825,505?

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 46,825,505, 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 46,825,505
-1 -46,825,505

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 46,825,505.

Example:
1 x 46,825,505 = 46,825,505
and
-1 x -46,825,505 = 46,825,505
Notice both answers equal 46,825,505

With that explanation out of the way, let's continue. Next, we take the number 46,825,505 and divide it by 2:

46,825,505 ÷ 2 = 23,412,752.5

If the quotient is a whole number, then 2 and 23,412,752.5 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 46,825,505
-1 -46,825,505

Now, we try dividing 46,825,505 by 3:

46,825,505 ÷ 3 = 15,608,501.6667

If the quotient is a whole number, then 3 and 15,608,501.6667 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 46,825,505
-1 -46,825,505

Let's try dividing by 4:

46,825,505 ÷ 4 = 11,706,376.25

If the quotient is a whole number, then 4 and 11,706,376.25 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 46,825,505
-1 46,825,505
Keep dividing by the next highest number until you cannot divide anymore.

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

151131794635658952,31520,22752,31982,877101,135261,595414,3859,365,10146,825,505
-1-5-113-179-463-565-895-2,315-20,227-52,319-82,877-101,135-261,595-414,385-9,365,101-46,825,505

More Examples

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