Q: What are the factor combinations of the number 9,481,745?

 A:
Positive:   1 x 94817455 x 18963497 x 135453513 x 72936535 x 27090749 x 19350565 x 14587391 x 104195169 x 56105229 x 41405245 x 38701455 x 20839637 x 14885845 x 112211145 x 82811183 x 80151603 x 59152977 x 3185
Negative: -1 x -9481745-5 x -1896349-7 x -1354535-13 x -729365-35 x -270907-49 x -193505-65 x -145873-91 x -104195-169 x -56105-229 x -41405-245 x -38701-455 x -20839-637 x -14885-845 x -11221-1145 x -8281-1183 x -8015-1603 x -5915-2977 x -3185


How do I find the factor combinations of the number 9,481,745?

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 9,481,745, 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 9,481,745
-1 -9,481,745

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 9,481,745.

Example:
1 x 9,481,745 = 9,481,745
and
-1 x -9,481,745 = 9,481,745
Notice both answers equal 9,481,745

With that explanation out of the way, let's continue. Next, we take the number 9,481,745 and divide it by 2:

9,481,745 ÷ 2 = 4,740,872.5

If the quotient is a whole number, then 2 and 4,740,872.5 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 9,481,745
-1 -9,481,745

Now, we try dividing 9,481,745 by 3:

9,481,745 ÷ 3 = 3,160,581.6667

If the quotient is a whole number, then 3 and 3,160,581.6667 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 9,481,745
-1 -9,481,745

Let's try dividing by 4:

9,481,745 ÷ 4 = 2,370,436.25

If the quotient is a whole number, then 4 and 2,370,436.25 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 9,481,745
-1 9,481,745
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965911692292454556378451,1451,1831,6032,9773,1855,9158,0158,28111,22114,88520,83938,70141,40556,105104,195145,873193,505270,907729,3651,354,5351,896,3499,481,745
-1-5-7-13-35-49-65-91-169-229-245-455-637-845-1,145-1,183-1,603-2,977-3,185-5,915-8,015-8,281-11,221-14,885-20,839-38,701-41,405-56,105-104,195-145,873-193,505-270,907-729,365-1,354,535-1,896,349-9,481,745

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