Q: What are the factor combinations of the number 3,730,525?

 A:
Positive:   1 x 37305255 x 74610525 x 14922137 x 100825109 x 34225185 x 20165545 x 6845925 x 40331369 x 2725
Negative: -1 x -3730525-5 x -746105-25 x -149221-37 x -100825-109 x -34225-185 x -20165-545 x -6845-925 x -4033-1369 x -2725


How do I find the factor combinations of the number 3,730,525?

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 3,730,525, 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 3,730,525
-1 -3,730,525

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 3,730,525.

Example:
1 x 3,730,525 = 3,730,525
and
-1 x -3,730,525 = 3,730,525
Notice both answers equal 3,730,525

With that explanation out of the way, let's continue. Next, we take the number 3,730,525 and divide it by 2:

3,730,525 ÷ 2 = 1,865,262.5

If the quotient is a whole number, then 2 and 1,865,262.5 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 3,730,525
-1 -3,730,525

Now, we try dividing 3,730,525 by 3:

3,730,525 ÷ 3 = 1,243,508.3333

If the quotient is a whole number, then 3 and 1,243,508.3333 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 3,730,525
-1 -3,730,525

Let's try dividing by 4:

3,730,525 ÷ 4 = 932,631.25

If the quotient is a whole number, then 4 and 932,631.25 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 3,730,525
-1 3,730,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371091855459251,3692,7254,0336,84520,16534,225100,825149,221746,1053,730,525
-1-5-25-37-109-185-545-925-1,369-2,725-4,033-6,845-20,165-34,225-100,825-149,221-746,105-3,730,525

More Examples

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