Q: What are the factor combinations of the number 3,489,605?

 A:
Positive:   1 x 34896055 x 6979217 x 49851535 x 99703179 x 19495557 x 6265895 x 38991253 x 2785
Negative: -1 x -3489605-5 x -697921-7 x -498515-35 x -99703-179 x -19495-557 x -6265-895 x -3899-1253 x -2785


How do I find the factor combinations of the number 3,489,605?

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 3,489,605, 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 3,489,605
-1 -3,489,605

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 3,489,605.

Example:
1 x 3,489,605 = 3,489,605
and
-1 x -3,489,605 = 3,489,605
Notice both answers equal 3,489,605

With that explanation out of the way, let's continue. Next, we take the number 3,489,605 and divide it by 2:

3,489,605 ÷ 2 = 1,744,802.5

If the quotient is a whole number, then 2 and 1,744,802.5 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 3,489,605
-1 -3,489,605

Now, we try dividing 3,489,605 by 3:

3,489,605 ÷ 3 = 1,163,201.6667

If the quotient is a whole number, then 3 and 1,163,201.6667 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 3,489,605
-1 -3,489,605

Let's try dividing by 4:

3,489,605 ÷ 4 = 872,401.25

If the quotient is a whole number, then 4 and 872,401.25 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 3,489,605
-1 3,489,605
Keep dividing by the next highest number until you cannot divide anymore.

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

157351795578951,2532,7853,8996,26519,49599,703498,515697,9213,489,605
-1-5-7-35-179-557-895-1,253-2,785-3,899-6,265-19,495-99,703-498,515-697,921-3,489,605

More Examples

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