Q: What are the factor combinations of the number 3,525,875?

 A:
Positive:   1 x 35258755 x 70517525 x 14103567 x 52625125 x 28207335 x 10525421 x 83751675 x 2105
Negative: -1 x -3525875-5 x -705175-25 x -141035-67 x -52625-125 x -28207-335 x -10525-421 x -8375-1675 x -2105


How do I find the factor combinations of the number 3,525,875?

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 3,525,875, 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 3,525,875
-1 -3,525,875

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 3,525,875.

Example:
1 x 3,525,875 = 3,525,875
and
-1 x -3,525,875 = 3,525,875
Notice both answers equal 3,525,875

With that explanation out of the way, let's continue. Next, we take the number 3,525,875 and divide it by 2:

3,525,875 ÷ 2 = 1,762,937.5

If the quotient is a whole number, then 2 and 1,762,937.5 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 3,525,875
-1 -3,525,875

Now, we try dividing 3,525,875 by 3:

3,525,875 ÷ 3 = 1,175,291.6667

If the quotient is a whole number, then 3 and 1,175,291.6667 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 3,525,875
-1 -3,525,875

Let's try dividing by 4:

3,525,875 ÷ 4 = 881,468.75

If the quotient is a whole number, then 4 and 881,468.75 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 3,525,875
-1 3,525,875
Keep dividing by the next highest number until you cannot divide anymore.

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

1525671253354211,6752,1058,37510,52528,20752,625141,035705,1753,525,875
-1-5-25-67-125-335-421-1,675-2,105-8,375-10,525-28,207-52,625-141,035-705,175-3,525,875

More Examples

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