Q: What are the factor combinations of the number 162,415,603?

 A:
Positive:   1 x 1624156037 x 2320222917 x 955385931 x 5239213119 x 1364837217 x 748459527 x 3081893689 x 44027
Negative: -1 x -162415603-7 x -23202229-17 x -9553859-31 x -5239213-119 x -1364837-217 x -748459-527 x -308189-3689 x -44027


How do I find the factor combinations of the number 162,415,603?

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 162,415,603, 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.

1 162,415,603
-1 -162,415,603

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 162,415,603.

Example:
1 x 162,415,603 = 162,415,603
and
-1 x -162,415,603 = 162,415,603
Notice both answers equal 162,415,603

With that explanation out of the way, let's continue. Next, we take the number 162,415,603 and divide it by 2:

162,415,603 ÷ 2 = 81,207,801.5

If the quotient is a whole number, then 2 and 81,207,801.5 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:

1 162,415,603
-1 -162,415,603

Now, we try dividing 162,415,603 by 3:

162,415,603 ÷ 3 = 54,138,534.3333

If the quotient is a whole number, then 3 and 54,138,534.3333 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:

1 162,415,603
-1 -162,415,603

Let's try dividing by 4:

162,415,603 ÷ 4 = 40,603,900.75

If the quotient is a whole number, then 4 and 40,603,900.75 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:

1 162,415,603
-1 162,415,603
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192175273,68944,027308,189748,4591,364,8375,239,2139,553,85923,202,229162,415,603
-1-7-17-31-119-217-527-3,689-44,027-308,189-748,459-1,364,837-5,239,213-9,553,859-23,202,229-162,415,603

More Examples

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