Q: What are the factor combinations of the number 46,156,375?

 A:
Positive:   1 x 461563755 x 923127525 x 184625553 x 870875125 x 369251265 x 1741751325 x 348356625 x 6967
Negative: -1 x -46156375-5 x -9231275-25 x -1846255-53 x -870875-125 x -369251-265 x -174175-1325 x -34835-6625 x -6967


How do I find the factor combinations of the number 46,156,375?

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 46,156,375, 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 46,156,375
-1 -46,156,375

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 46,156,375.

Example:
1 x 46,156,375 = 46,156,375
and
-1 x -46,156,375 = 46,156,375
Notice both answers equal 46,156,375

With that explanation out of the way, let's continue. Next, we take the number 46,156,375 and divide it by 2:

46,156,375 ÷ 2 = 23,078,187.5

If the quotient is a whole number, then 2 and 23,078,187.5 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 46,156,375
-1 -46,156,375

Now, we try dividing 46,156,375 by 3:

46,156,375 ÷ 3 = 15,385,458.3333

If the quotient is a whole number, then 3 and 15,385,458.3333 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 46,156,375
-1 -46,156,375

Let's try dividing by 4:

46,156,375 ÷ 4 = 11,539,093.75

If the quotient is a whole number, then 4 and 11,539,093.75 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 46,156,375
-1 46,156,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3256,6256,96734,835174,175369,251870,8751,846,2559,231,27546,156,375
-1-5-25-53-125-265-1,325-6,625-6,967-34,835-174,175-369,251-870,875-1,846,255-9,231,275-46,156,375

More Examples

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