Q: What are the factor combinations of the number 35,012,435?

 A:
Positive:   1 x 350124355 x 700248717 x 205955585 x 411911109 x 321215545 x 642431853 x 188953779 x 9265
Negative: -1 x -35012435-5 x -7002487-17 x -2059555-85 x -411911-109 x -321215-545 x -64243-1853 x -18895-3779 x -9265


How do I find the factor combinations of the number 35,012,435?

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 35,012,435, 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 35,012,435
-1 -35,012,435

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 35,012,435.

Example:
1 x 35,012,435 = 35,012,435
and
-1 x -35,012,435 = 35,012,435
Notice both answers equal 35,012,435

With that explanation out of the way, let's continue. Next, we take the number 35,012,435 and divide it by 2:

35,012,435 ÷ 2 = 17,506,217.5

If the quotient is a whole number, then 2 and 17,506,217.5 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 35,012,435
-1 -35,012,435

Now, we try dividing 35,012,435 by 3:

35,012,435 ÷ 3 = 11,670,811.6667

If the quotient is a whole number, then 3 and 11,670,811.6667 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 35,012,435
-1 -35,012,435

Let's try dividing by 4:

35,012,435 ÷ 4 = 8,753,108.75

If the quotient is a whole number, then 4 and 8,753,108.75 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 35,012,435
-1 35,012,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851095451,8533,7799,26518,89564,243321,215411,9112,059,5557,002,48735,012,435
-1-5-17-85-109-545-1,853-3,779-9,265-18,895-64,243-321,215-411,911-2,059,555-7,002,487-35,012,435

More Examples

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