Q: What are the factor combinations of the number 40,472,117?

 A:
Positive:   1 x 404721177 x 578173137 x 1093841259 x 156263307 x 131831509 x 795132149 x 188333563 x 11359
Negative: -1 x -40472117-7 x -5781731-37 x -1093841-259 x -156263-307 x -131831-509 x -79513-2149 x -18833-3563 x -11359


How do I find the factor combinations of the number 40,472,117?

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 40,472,117, 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 40,472,117
-1 -40,472,117

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 40,472,117.

Example:
1 x 40,472,117 = 40,472,117
and
-1 x -40,472,117 = 40,472,117
Notice both answers equal 40,472,117

With that explanation out of the way, let's continue. Next, we take the number 40,472,117 and divide it by 2:

40,472,117 ÷ 2 = 20,236,058.5

If the quotient is a whole number, then 2 and 20,236,058.5 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 40,472,117
-1 -40,472,117

Now, we try dividing 40,472,117 by 3:

40,472,117 ÷ 3 = 13,490,705.6667

If the quotient is a whole number, then 3 and 13,490,705.6667 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 40,472,117
-1 -40,472,117

Let's try dividing by 4:

40,472,117 ÷ 4 = 10,118,029.25

If the quotient is a whole number, then 4 and 10,118,029.25 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 40,472,117
-1 40,472,117
Keep dividing by the next highest number until you cannot divide anymore.

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

17372593075092,1493,56311,35918,83379,513131,831156,2631,093,8415,781,73140,472,117
-1-7-37-259-307-509-2,149-3,563-11,359-18,833-79,513-131,831-156,263-1,093,841-5,781,731-40,472,117

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