Q: What are the factor combinations of the number 3,561,125?

 A:
Positive:   1 x 35611255 x 71222525 x 14244531 x 114875125 x 28489155 x 22975775 x 4595919 x 3875
Negative: -1 x -3561125-5 x -712225-25 x -142445-31 x -114875-125 x -28489-155 x -22975-775 x -4595-919 x -3875


How do I find the factor combinations of the number 3,561,125?

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 3,561,125, 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 3,561,125
-1 -3,561,125

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 3,561,125.

Example:
1 x 3,561,125 = 3,561,125
and
-1 x -3,561,125 = 3,561,125
Notice both answers equal 3,561,125

With that explanation out of the way, let's continue. Next, we take the number 3,561,125 and divide it by 2:

3,561,125 ÷ 2 = 1,780,562.5

If the quotient is a whole number, then 2 and 1,780,562.5 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 3,561,125
-1 -3,561,125

Now, we try dividing 3,561,125 by 3:

3,561,125 ÷ 3 = 1,187,041.6667

If the quotient is a whole number, then 3 and 1,187,041.6667 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 3,561,125
-1 -3,561,125

Let's try dividing by 4:

3,561,125 ÷ 4 = 890,281.25

If the quotient is a whole number, then 4 and 890,281.25 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 3,561,125
-1 3,561,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311251557759193,8754,59522,97528,489114,875142,445712,2253,561,125
-1-5-25-31-125-155-775-919-3,875-4,595-22,975-28,489-114,875-142,445-712,225-3,561,125

More Examples

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