Q: What are the factor combinations of the number 5,989,525?

 A:
Positive:   1 x 59895255 x 119790517 x 35232525 x 23958185 x 70465289 x 20725425 x 14093829 x 72251445 x 4145
Negative: -1 x -5989525-5 x -1197905-17 x -352325-25 x -239581-85 x -70465-289 x -20725-425 x -14093-829 x -7225-1445 x -4145


How do I find the factor combinations of the number 5,989,525?

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 5,989,525, 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 5,989,525
-1 -5,989,525

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 5,989,525.

Example:
1 x 5,989,525 = 5,989,525
and
-1 x -5,989,525 = 5,989,525
Notice both answers equal 5,989,525

With that explanation out of the way, let's continue. Next, we take the number 5,989,525 and divide it by 2:

5,989,525 ÷ 2 = 2,994,762.5

If the quotient is a whole number, then 2 and 2,994,762.5 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 5,989,525
-1 -5,989,525

Now, we try dividing 5,989,525 by 3:

5,989,525 ÷ 3 = 1,996,508.3333

If the quotient is a whole number, then 3 and 1,996,508.3333 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 5,989,525
-1 -5,989,525

Let's try dividing by 4:

5,989,525 ÷ 4 = 1,497,381.25

If the quotient is a whole number, then 4 and 1,497,381.25 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 5,989,525
-1 5,989,525
Keep dividing by the next highest number until you cannot divide anymore.

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

151725852894258291,4454,1457,22514,09320,72570,465239,581352,3251,197,9055,989,525
-1-5-17-25-85-289-425-829-1,445-4,145-7,225-14,093-20,725-70,465-239,581-352,325-1,197,905-5,989,525

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