Q: What are the factor combinations of the number 162,414,325?

 A:
Positive:   1 x 1624143255 x 3248286525 x 649657341 x 3961325193 x 841525205 x 792265821 x 197825965 x 1683051025 x 1584534105 x 395654825 x 336617913 x 20525
Negative: -1 x -162414325-5 x -32482865-25 x -6496573-41 x -3961325-193 x -841525-205 x -792265-821 x -197825-965 x -168305-1025 x -158453-4105 x -39565-4825 x -33661-7913 x -20525


How do I find the factor combinations of the number 162,414,325?

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 162,414,325, 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.

1 162,414,325
-1 -162,414,325

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 162,414,325.

Example:
1 x 162,414,325 = 162,414,325
and
-1 x -162,414,325 = 162,414,325
Notice both answers equal 162,414,325

With that explanation out of the way, let's continue. Next, we take the number 162,414,325 and divide it by 2:

162,414,325 ÷ 2 = 81,207,162.5

If the quotient is a whole number, then 2 and 81,207,162.5 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:

1 162,414,325
-1 -162,414,325

Now, we try dividing 162,414,325 by 3:

162,414,325 ÷ 3 = 54,138,108.3333

If the quotient is a whole number, then 3 and 54,138,108.3333 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:

1 162,414,325
-1 -162,414,325

Let's try dividing by 4:

162,414,325 ÷ 4 = 40,603,581.25

If the quotient is a whole number, then 4 and 40,603,581.25 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:

1 162,414,325
-1 162,414,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525411932058219651,0254,1054,8257,91320,52533,66139,565158,453168,305197,825792,265841,5253,961,3256,496,57332,482,865162,414,325
-1-5-25-41-193-205-821-965-1,025-4,105-4,825-7,913-20,525-33,661-39,565-158,453-168,305-197,825-792,265-841,525-3,961,325-6,496,573-32,482,865-162,414,325

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