Q: What are the factor combinations of the number 9,890,507?

 A:
Positive:   1 x 989050711 x 89913719 x 52055337 x 267311209 x 47323407 x 24301703 x 140691279 x 7733
Negative: -1 x -9890507-11 x -899137-19 x -520553-37 x -267311-209 x -47323-407 x -24301-703 x -14069-1279 x -7733


How do I find the factor combinations of the number 9,890,507?

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 9,890,507, 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 9,890,507
-1 -9,890,507

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 9,890,507.

Example:
1 x 9,890,507 = 9,890,507
and
-1 x -9,890,507 = 9,890,507
Notice both answers equal 9,890,507

With that explanation out of the way, let's continue. Next, we take the number 9,890,507 and divide it by 2:

9,890,507 ÷ 2 = 4,945,253.5

If the quotient is a whole number, then 2 and 4,945,253.5 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 9,890,507
-1 -9,890,507

Now, we try dividing 9,890,507 by 3:

9,890,507 ÷ 3 = 3,296,835.6667

If the quotient is a whole number, then 3 and 3,296,835.6667 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 9,890,507
-1 -9,890,507

Let's try dividing by 4:

9,890,507 ÷ 4 = 2,472,626.75

If the quotient is a whole number, then 4 and 2,472,626.75 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 9,890,507
-1 9,890,507
Keep dividing by the next highest number until you cannot divide anymore.

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

11119372094077031,2797,73314,06924,30147,323267,311520,553899,1379,890,507
-1-11-19-37-209-407-703-1,279-7,733-14,069-24,301-47,323-267,311-520,553-899,137-9,890,507

More Examples

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