Q: What are the factor combinations of the number 46,262,375?

 A:
Positive:   1 x 462623755 x 925247525 x 185049553 x 872875125 x 370099265 x 1745751325 x 349156625 x 6983
Negative: -1 x -46262375-5 x -9252475-25 x -1850495-53 x -872875-125 x -370099-265 x -174575-1325 x -34915-6625 x -6983


How do I find the factor combinations of the number 46,262,375?

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 46,262,375, 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 46,262,375
-1 -46,262,375

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 46,262,375.

Example:
1 x 46,262,375 = 46,262,375
and
-1 x -46,262,375 = 46,262,375
Notice both answers equal 46,262,375

With that explanation out of the way, let's continue. Next, we take the number 46,262,375 and divide it by 2:

46,262,375 ÷ 2 = 23,131,187.5

If the quotient is a whole number, then 2 and 23,131,187.5 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 46,262,375
-1 -46,262,375

Now, we try dividing 46,262,375 by 3:

46,262,375 ÷ 3 = 15,420,791.6667

If the quotient is a whole number, then 3 and 15,420,791.6667 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 46,262,375
-1 -46,262,375

Let's try dividing by 4:

46,262,375 ÷ 4 = 11,565,593.75

If the quotient is a whole number, then 4 and 11,565,593.75 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 46,262,375
-1 46,262,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3256,6256,98334,915174,575370,099872,8751,850,4959,252,47546,262,375
-1-5-25-53-125-265-1,325-6,625-6,983-34,915-174,575-370,099-872,875-1,850,495-9,252,475-46,262,375

More Examples

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