Q: What are the factor combinations of the number 120,631,445?

 A:
Positive:   1 x 1206314455 x 2412628911 x 1096649529 x 415970553 x 227606555 x 2193299145 x 831941265 x 455213319 x 378155583 x 2069151427 x 845351537 x 784851595 x 756312915 x 413837135 x 169077685 x 15697
Negative: -1 x -120631445-5 x -24126289-11 x -10966495-29 x -4159705-53 x -2276065-55 x -2193299-145 x -831941-265 x -455213-319 x -378155-583 x -206915-1427 x -84535-1537 x -78485-1595 x -75631-2915 x -41383-7135 x -16907-7685 x -15697


How do I find the factor combinations of the number 120,631,445?

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 120,631,445, 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.

1 120,631,445
-1 -120,631,445

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 120,631,445.

Example:
1 x 120,631,445 = 120,631,445
and
-1 x -120,631,445 = 120,631,445
Notice both answers equal 120,631,445

With that explanation out of the way, let's continue. Next, we take the number 120,631,445 and divide it by 2:

120,631,445 ÷ 2 = 60,315,722.5

If the quotient is a whole number, then 2 and 60,315,722.5 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:

1 120,631,445
-1 -120,631,445

Now, we try dividing 120,631,445 by 3:

120,631,445 ÷ 3 = 40,210,481.6667

If the quotient is a whole number, then 3 and 40,210,481.6667 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:

1 120,631,445
-1 -120,631,445

Let's try dividing by 4:

120,631,445 ÷ 4 = 30,157,861.25

If the quotient is a whole number, then 4 and 30,157,861.25 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:

1 120,631,445
-1 120,631,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15112953551452653195831,4271,5371,5952,9157,1357,68515,69716,90741,38375,63178,48584,535206,915378,155455,213831,9412,193,2992,276,0654,159,70510,966,49524,126,289120,631,445
-1-5-11-29-53-55-145-265-319-583-1,427-1,537-1,595-2,915-7,135-7,685-15,697-16,907-41,383-75,631-78,485-84,535-206,915-378,155-455,213-831,941-2,193,299-2,276,065-4,159,705-10,966,495-24,126,289-120,631,445

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