Q: What are the factor combinations of the number 45,354,793?

 A:
Positive:   1 x 4535479311 x 412316317 x 2667929121 x 374833187 x 242539289 x 1569371297 x 349692057 x 220493179 x 14267
Negative: -1 x -45354793-11 x -4123163-17 x -2667929-121 x -374833-187 x -242539-289 x -156937-1297 x -34969-2057 x -22049-3179 x -14267


How do I find the factor combinations of the number 45,354,793?

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 45,354,793, 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 45,354,793
-1 -45,354,793

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 45,354,793.

Example:
1 x 45,354,793 = 45,354,793
and
-1 x -45,354,793 = 45,354,793
Notice both answers equal 45,354,793

With that explanation out of the way, let's continue. Next, we take the number 45,354,793 and divide it by 2:

45,354,793 ÷ 2 = 22,677,396.5

If the quotient is a whole number, then 2 and 22,677,396.5 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 45,354,793
-1 -45,354,793

Now, we try dividing 45,354,793 by 3:

45,354,793 ÷ 3 = 15,118,264.3333

If the quotient is a whole number, then 3 and 15,118,264.3333 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 45,354,793
-1 -45,354,793

Let's try dividing by 4:

45,354,793 ÷ 4 = 11,338,698.25

If the quotient is a whole number, then 4 and 11,338,698.25 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 45,354,793
-1 45,354,793
Keep dividing by the next highest number until you cannot divide anymore.

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

111171211872891,2972,0573,17914,26722,04934,969156,937242,539374,8332,667,9294,123,16345,354,793
-1-11-17-121-187-289-1,297-2,057-3,179-14,267-22,049-34,969-156,937-242,539-374,833-2,667,929-4,123,163-45,354,793

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