Q: What are the factor combinations of the number 40,732,355?

 A:
Positive:   1 x 407323555 x 814647153 x 768535265 x 153707281 x 144955547 x 744651405 x 289912735 x 14893
Negative: -1 x -40732355-5 x -8146471-53 x -768535-265 x -153707-281 x -144955-547 x -74465-1405 x -28991-2735 x -14893


How do I find the factor combinations of the number 40,732,355?

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 40,732,355, 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 40,732,355
-1 -40,732,355

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 40,732,355.

Example:
1 x 40,732,355 = 40,732,355
and
-1 x -40,732,355 = 40,732,355
Notice both answers equal 40,732,355

With that explanation out of the way, let's continue. Next, we take the number 40,732,355 and divide it by 2:

40,732,355 ÷ 2 = 20,366,177.5

If the quotient is a whole number, then 2 and 20,366,177.5 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 40,732,355
-1 -40,732,355

Now, we try dividing 40,732,355 by 3:

40,732,355 ÷ 3 = 13,577,451.6667

If the quotient is a whole number, then 3 and 13,577,451.6667 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 40,732,355
-1 -40,732,355

Let's try dividing by 4:

40,732,355 ÷ 4 = 10,183,088.75

If the quotient is a whole number, then 4 and 10,183,088.75 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 40,732,355
-1 40,732,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15532652815471,4052,73514,89328,99174,465144,955153,707768,5358,146,47140,732,355
-1-5-53-265-281-547-1,405-2,735-14,893-28,991-74,465-144,955-153,707-768,535-8,146,471-40,732,355

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