Q: What are the factor combinations of the number 46,218,385?

 A:
Positive:   1 x 462183855 x 924367723 x 200949553 x 872045115 x 401899265 x 1744091219 x 379156095 x 7583
Negative: -1 x -46218385-5 x -9243677-23 x -2009495-53 x -872045-115 x -401899-265 x -174409-1219 x -37915-6095 x -7583


How do I find the factor combinations of the number 46,218,385?

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 46,218,385, 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 46,218,385
-1 -46,218,385

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 46,218,385.

Example:
1 x 46,218,385 = 46,218,385
and
-1 x -46,218,385 = 46,218,385
Notice both answers equal 46,218,385

With that explanation out of the way, let's continue. Next, we take the number 46,218,385 and divide it by 2:

46,218,385 ÷ 2 = 23,109,192.5

If the quotient is a whole number, then 2 and 23,109,192.5 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 46,218,385
-1 -46,218,385

Now, we try dividing 46,218,385 by 3:

46,218,385 ÷ 3 = 15,406,128.3333

If the quotient is a whole number, then 3 and 15,406,128.3333 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 46,218,385
-1 -46,218,385

Let's try dividing by 4:

46,218,385 ÷ 4 = 11,554,596.25

If the quotient is a whole number, then 4 and 11,554,596.25 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 46,218,385
-1 46,218,385
Keep dividing by the next highest number until you cannot divide anymore.

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

1523531152651,2196,0957,58337,915174,409401,899872,0452,009,4959,243,67746,218,385
-1-5-23-53-115-265-1,219-6,095-7,583-37,915-174,409-401,899-872,045-2,009,495-9,243,677-46,218,385

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