Q: What are the factor combinations of the number 46,250,425?

 A:
Positive:   1 x 462504255 x 925008513 x 355772525 x 185001765 x 711545101 x 457925325 x 142309505 x 915851313 x 352251409 x 328252525 x 183176565 x 7045
Negative: -1 x -46250425-5 x -9250085-13 x -3557725-25 x -1850017-65 x -711545-101 x -457925-325 x -142309-505 x -91585-1313 x -35225-1409 x -32825-2525 x -18317-6565 x -7045


How do I find the factor combinations of the number 46,250,425?

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 46,250,425, 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 46,250,425
-1 -46,250,425

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 46,250,425.

Example:
1 x 46,250,425 = 46,250,425
and
-1 x -46,250,425 = 46,250,425
Notice both answers equal 46,250,425

With that explanation out of the way, let's continue. Next, we take the number 46,250,425 and divide it by 2:

46,250,425 ÷ 2 = 23,125,212.5

If the quotient is a whole number, then 2 and 23,125,212.5 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 46,250,425
-1 -46,250,425

Now, we try dividing 46,250,425 by 3:

46,250,425 ÷ 3 = 15,416,808.3333

If the quotient is a whole number, then 3 and 15,416,808.3333 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 46,250,425
-1 -46,250,425

Let's try dividing by 4:

46,250,425 ÷ 4 = 11,562,606.25

If the quotient is a whole number, then 4 and 11,562,606.25 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 46,250,425
-1 46,250,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651013255051,3131,4092,5256,5657,04518,31732,82535,22591,585142,309457,925711,5451,850,0173,557,7259,250,08546,250,425
-1-5-13-25-65-101-325-505-1,313-1,409-2,525-6,565-7,045-18,317-32,825-35,225-91,585-142,309-457,925-711,545-1,850,017-3,557,725-9,250,085-46,250,425

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