Q: What are the factor combinations of the number 3,508,435?

 A:
Positive:   1 x 35084355 x 7016877 x 50120535 x 10024159 x 59465295 x 11893413 x 84951699 x 2065
Negative: -1 x -3508435-5 x -701687-7 x -501205-35 x -100241-59 x -59465-295 x -11893-413 x -8495-1699 x -2065


How do I find the factor combinations of the number 3,508,435?

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 3,508,435, 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 3,508,435
-1 -3,508,435

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 3,508,435.

Example:
1 x 3,508,435 = 3,508,435
and
-1 x -3,508,435 = 3,508,435
Notice both answers equal 3,508,435

With that explanation out of the way, let's continue. Next, we take the number 3,508,435 and divide it by 2:

3,508,435 ÷ 2 = 1,754,217.5

If the quotient is a whole number, then 2 and 1,754,217.5 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 3,508,435
-1 -3,508,435

Now, we try dividing 3,508,435 by 3:

3,508,435 ÷ 3 = 1,169,478.3333

If the quotient is a whole number, then 3 and 1,169,478.3333 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 3,508,435
-1 -3,508,435

Let's try dividing by 4:

3,508,435 ÷ 4 = 877,108.75

If the quotient is a whole number, then 4 and 877,108.75 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 3,508,435
-1 3,508,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15735592954131,6992,0658,49511,89359,465100,241501,205701,6873,508,435
-1-5-7-35-59-295-413-1,699-2,065-8,495-11,893-59,465-100,241-501,205-701,687-3,508,435

More Examples

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