Q: What are the factor combinations of the number 31,798,675?

 A:
Positive:   1 x 317986755 x 635973525 x 127194753 x 599975103 x 308725233 x 136475265 x 119995515 x 617451165 x 272951325 x 239992575 x 123495459 x 5825
Negative: -1 x -31798675-5 x -6359735-25 x -1271947-53 x -599975-103 x -308725-233 x -136475-265 x -119995-515 x -61745-1165 x -27295-1325 x -23999-2575 x -12349-5459 x -5825


How do I find the factor combinations of the number 31,798,675?

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 31,798,675, 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 31,798,675
-1 -31,798,675

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 31,798,675.

Example:
1 x 31,798,675 = 31,798,675
and
-1 x -31,798,675 = 31,798,675
Notice both answers equal 31,798,675

With that explanation out of the way, let's continue. Next, we take the number 31,798,675 and divide it by 2:

31,798,675 ÷ 2 = 15,899,337.5

If the quotient is a whole number, then 2 and 15,899,337.5 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 31,798,675
-1 -31,798,675

Now, we try dividing 31,798,675 by 3:

31,798,675 ÷ 3 = 10,599,558.3333

If the quotient is a whole number, then 3 and 10,599,558.3333 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 31,798,675
-1 -31,798,675

Let's try dividing by 4:

31,798,675 ÷ 4 = 7,949,668.75

If the quotient is a whole number, then 4 and 7,949,668.75 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 31,798,675
-1 31,798,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531032332655151,1651,3252,5755,4595,82512,34923,99927,29561,745119,995136,475308,725599,9751,271,9476,359,73531,798,675
-1-5-25-53-103-233-265-515-1,165-1,325-2,575-5,459-5,825-12,349-23,999-27,295-61,745-119,995-136,475-308,725-599,975-1,271,947-6,359,735-31,798,675

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