Q: What are the factor combinations of the number 42,253,735?

 A:
Positive:   1 x 422537355 x 845074743 x 98264559 x 716165215 x 196529295 x 1432332537 x 166553331 x 12685
Negative: -1 x -42253735-5 x -8450747-43 x -982645-59 x -716165-215 x -196529-295 x -143233-2537 x -16655-3331 x -12685


How do I find the factor combinations of the number 42,253,735?

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 42,253,735, 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 42,253,735
-1 -42,253,735

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 42,253,735.

Example:
1 x 42,253,735 = 42,253,735
and
-1 x -42,253,735 = 42,253,735
Notice both answers equal 42,253,735

With that explanation out of the way, let's continue. Next, we take the number 42,253,735 and divide it by 2:

42,253,735 ÷ 2 = 21,126,867.5

If the quotient is a whole number, then 2 and 21,126,867.5 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 42,253,735
-1 -42,253,735

Now, we try dividing 42,253,735 by 3:

42,253,735 ÷ 3 = 14,084,578.3333

If the quotient is a whole number, then 3 and 14,084,578.3333 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 42,253,735
-1 -42,253,735

Let's try dividing by 4:

42,253,735 ÷ 4 = 10,563,433.75

If the quotient is a whole number, then 4 and 10,563,433.75 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 42,253,735
-1 42,253,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1543592152952,5373,33112,68516,655143,233196,529716,165982,6458,450,74742,253,735
-1-5-43-59-215-295-2,537-3,331-12,685-16,655-143,233-196,529-716,165-982,645-8,450,747-42,253,735

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