Q: What are the factor combinations of the number 40,342,211?

 A:
Positive:   1 x 403422117 x 576317313 x 310324791 x 443321193 x 2090271351 x 298612297 x 175632509 x 16079
Negative: -1 x -40342211-7 x -5763173-13 x -3103247-91 x -443321-193 x -209027-1351 x -29861-2297 x -17563-2509 x -16079


How do I find the factor combinations of the number 40,342,211?

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 40,342,211, 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 40,342,211
-1 -40,342,211

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 40,342,211.

Example:
1 x 40,342,211 = 40,342,211
and
-1 x -40,342,211 = 40,342,211
Notice both answers equal 40,342,211

With that explanation out of the way, let's continue. Next, we take the number 40,342,211 and divide it by 2:

40,342,211 ÷ 2 = 20,171,105.5

If the quotient is a whole number, then 2 and 20,171,105.5 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 40,342,211
-1 -40,342,211

Now, we try dividing 40,342,211 by 3:

40,342,211 ÷ 3 = 13,447,403.6667

If the quotient is a whole number, then 3 and 13,447,403.6667 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 40,342,211
-1 -40,342,211

Let's try dividing by 4:

40,342,211 ÷ 4 = 10,085,552.75

If the quotient is a whole number, then 4 and 10,085,552.75 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 40,342,211
-1 40,342,211
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911931,3512,2972,50916,07917,56329,861209,027443,3213,103,2475,763,17340,342,211
-1-7-13-91-193-1,351-2,297-2,509-16,079-17,563-29,861-209,027-443,321-3,103,247-5,763,173-40,342,211

More Examples

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