Q: What are the factor combinations of the number 40,034,845?

 A:
Positive:   1 x 400348455 x 800696967 x 597535127 x 315235335 x 119507635 x 63047941 x 425454705 x 8509
Negative: -1 x -40034845-5 x -8006969-67 x -597535-127 x -315235-335 x -119507-635 x -63047-941 x -42545-4705 x -8509


How do I find the factor combinations of the number 40,034,845?

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 40,034,845, 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 40,034,845
-1 -40,034,845

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 40,034,845.

Example:
1 x 40,034,845 = 40,034,845
and
-1 x -40,034,845 = 40,034,845
Notice both answers equal 40,034,845

With that explanation out of the way, let's continue. Next, we take the number 40,034,845 and divide it by 2:

40,034,845 ÷ 2 = 20,017,422.5

If the quotient is a whole number, then 2 and 20,017,422.5 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 40,034,845
-1 -40,034,845

Now, we try dividing 40,034,845 by 3:

40,034,845 ÷ 3 = 13,344,948.3333

If the quotient is a whole number, then 3 and 13,344,948.3333 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 40,034,845
-1 -40,034,845

Let's try dividing by 4:

40,034,845 ÷ 4 = 10,008,711.25

If the quotient is a whole number, then 4 and 10,008,711.25 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 40,034,845
-1 40,034,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15671273356359414,7058,50942,54563,047119,507315,235597,5358,006,96940,034,845
-1-5-67-127-335-635-941-4,705-8,509-42,545-63,047-119,507-315,235-597,535-8,006,969-40,034,845

More Examples

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