Q: What are the factor combinations of the number 37,220,155?

 A:
Positive:   1 x 372201555 x 74440317 x 531716535 x 106343343 x 86558549 x 759595215 x 173117245 x 151919301 x 1236551505 x 247312107 x 176653533 x 10535
Negative: -1 x -37220155-5 x -7444031-7 x -5317165-35 x -1063433-43 x -865585-49 x -759595-215 x -173117-245 x -151919-301 x -123655-1505 x -24731-2107 x -17665-3533 x -10535


How do I find the factor combinations of the number 37,220,155?

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 37,220,155, 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 37,220,155
-1 -37,220,155

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 37,220,155.

Example:
1 x 37,220,155 = 37,220,155
and
-1 x -37,220,155 = 37,220,155
Notice both answers equal 37,220,155

With that explanation out of the way, let's continue. Next, we take the number 37,220,155 and divide it by 2:

37,220,155 ÷ 2 = 18,610,077.5

If the quotient is a whole number, then 2 and 18,610,077.5 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 37,220,155
-1 -37,220,155

Now, we try dividing 37,220,155 by 3:

37,220,155 ÷ 3 = 12,406,718.3333

If the quotient is a whole number, then 3 and 12,406,718.3333 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 37,220,155
-1 -37,220,155

Let's try dividing by 4:

37,220,155 ÷ 4 = 9,305,038.75

If the quotient is a whole number, then 4 and 9,305,038.75 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 37,220,155
-1 37,220,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1573543492152453011,5052,1073,53310,53517,66524,731123,655151,919173,117759,595865,5851,063,4335,317,1657,444,03137,220,155
-1-5-7-35-43-49-215-245-301-1,505-2,107-3,533-10,535-17,665-24,731-123,655-151,919-173,117-759,595-865,585-1,063,433-5,317,165-7,444,031-37,220,155

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