Q: What are the factor combinations of the number 45,110,429?

 A:
Positive:   1 x 451104297 x 644434713 x 347003323 x 196132349 x 92062191 x 495719161 x 280189299 x 150871637 x 708171127 x 400272093 x 215533079 x 14651
Negative: -1 x -45110429-7 x -6444347-13 x -3470033-23 x -1961323-49 x -920621-91 x -495719-161 x -280189-299 x -150871-637 x -70817-1127 x -40027-2093 x -21553-3079 x -14651


How do I find the factor combinations of the number 45,110,429?

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 45,110,429, 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 45,110,429
-1 -45,110,429

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 45,110,429.

Example:
1 x 45,110,429 = 45,110,429
and
-1 x -45,110,429 = 45,110,429
Notice both answers equal 45,110,429

With that explanation out of the way, let's continue. Next, we take the number 45,110,429 and divide it by 2:

45,110,429 ÷ 2 = 22,555,214.5

If the quotient is a whole number, then 2 and 22,555,214.5 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 45,110,429
-1 -45,110,429

Now, we try dividing 45,110,429 by 3:

45,110,429 ÷ 3 = 15,036,809.6667

If the quotient is a whole number, then 3 and 15,036,809.6667 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 45,110,429
-1 -45,110,429

Let's try dividing by 4:

45,110,429 ÷ 4 = 11,277,607.25

If the quotient is a whole number, then 4 and 11,277,607.25 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 45,110,429
-1 45,110,429
Keep dividing by the next highest number until you cannot divide anymore.

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

17132349911612996371,1272,0933,07914,65121,55340,02770,817150,871280,189495,719920,6211,961,3233,470,0336,444,34745,110,429
-1-7-13-23-49-91-161-299-637-1,127-2,093-3,079-14,651-21,553-40,027-70,817-150,871-280,189-495,719-920,621-1,961,323-3,470,033-6,444,347-45,110,429

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