Q: What are the factor combinations of the number 46,186,435?

 A:
Positive:   1 x 461864355 x 923728719 x 243086531 x 148988595 x 486173155 x 297977589 x 784152945 x 15683
Negative: -1 x -46186435-5 x -9237287-19 x -2430865-31 x -1489885-95 x -486173-155 x -297977-589 x -78415-2945 x -15683


How do I find the factor combinations of the number 46,186,435?

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 46,186,435, 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 46,186,435
-1 -46,186,435

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 46,186,435.

Example:
1 x 46,186,435 = 46,186,435
and
-1 x -46,186,435 = 46,186,435
Notice both answers equal 46,186,435

With that explanation out of the way, let's continue. Next, we take the number 46,186,435 and divide it by 2:

46,186,435 ÷ 2 = 23,093,217.5

If the quotient is a whole number, then 2 and 23,093,217.5 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 46,186,435
-1 -46,186,435

Now, we try dividing 46,186,435 by 3:

46,186,435 ÷ 3 = 15,395,478.3333

If the quotient is a whole number, then 3 and 15,395,478.3333 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 46,186,435
-1 -46,186,435

Let's try dividing by 4:

46,186,435 ÷ 4 = 11,546,608.75

If the quotient is a whole number, then 4 and 11,546,608.75 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 46,186,435
-1 46,186,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151931951555892,94515,68378,415297,977486,1731,489,8852,430,8659,237,28746,186,435
-1-5-19-31-95-155-589-2,945-15,683-78,415-297,977-486,173-1,489,885-2,430,865-9,237,287-46,186,435

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