Q: What are the factor combinations of the number 46,642,255?

 A:
Positive:   1 x 466422555 x 932845111 x 424020555 x 84804173 x 638935365 x 127787803 x 580854015 x 11617
Negative: -1 x -46642255-5 x -9328451-11 x -4240205-55 x -848041-73 x -638935-365 x -127787-803 x -58085-4015 x -11617


How do I find the factor combinations of the number 46,642,255?

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 46,642,255, 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 46,642,255
-1 -46,642,255

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 46,642,255.

Example:
1 x 46,642,255 = 46,642,255
and
-1 x -46,642,255 = 46,642,255
Notice both answers equal 46,642,255

With that explanation out of the way, let's continue. Next, we take the number 46,642,255 and divide it by 2:

46,642,255 ÷ 2 = 23,321,127.5

If the quotient is a whole number, then 2 and 23,321,127.5 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 46,642,255
-1 -46,642,255

Now, we try dividing 46,642,255 by 3:

46,642,255 ÷ 3 = 15,547,418.3333

If the quotient is a whole number, then 3 and 15,547,418.3333 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 46,642,255
-1 -46,642,255

Let's try dividing by 4:

46,642,255 ÷ 4 = 11,660,563.75

If the quotient is a whole number, then 4 and 11,660,563.75 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 46,642,255
-1 46,642,255
Keep dividing by the next highest number until you cannot divide anymore.

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

151155733658034,01511,61758,085127,787638,935848,0414,240,2059,328,45146,642,255
-1-5-11-55-73-365-803-4,015-11,617-58,085-127,787-638,935-848,041-4,240,205-9,328,451-46,642,255

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