Q: What are the factor combinations of the number 4,162,525?

 A:
Positive:   1 x 41625255 x 83250525 x 16650131 x 13427541 x 101525131 x 31775155 x 26855205 x 20305655 x 6355775 x 53711025 x 40611271 x 3275
Negative: -1 x -4162525-5 x -832505-25 x -166501-31 x -134275-41 x -101525-131 x -31775-155 x -26855-205 x -20305-655 x -6355-775 x -5371-1025 x -4061-1271 x -3275


How do I find the factor combinations of the number 4,162,525?

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 4,162,525, 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 4,162,525
-1 -4,162,525

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 4,162,525.

Example:
1 x 4,162,525 = 4,162,525
and
-1 x -4,162,525 = 4,162,525
Notice both answers equal 4,162,525

With that explanation out of the way, let's continue. Next, we take the number 4,162,525 and divide it by 2:

4,162,525 ÷ 2 = 2,081,262.5

If the quotient is a whole number, then 2 and 2,081,262.5 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 4,162,525
-1 -4,162,525

Now, we try dividing 4,162,525 by 3:

4,162,525 ÷ 3 = 1,387,508.3333

If the quotient is a whole number, then 3 and 1,387,508.3333 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 4,162,525
-1 -4,162,525

Let's try dividing by 4:

4,162,525 ÷ 4 = 1,040,631.25

If the quotient is a whole number, then 4 and 1,040,631.25 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 4,162,525
-1 4,162,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152531411311552056557751,0251,2713,2754,0615,3716,35520,30526,85531,775101,525134,275166,501832,5054,162,525
-1-5-25-31-41-131-155-205-655-775-1,025-1,271-3,275-4,061-5,371-6,355-20,305-26,855-31,775-101,525-134,275-166,501-832,505-4,162,525

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