Q: What are the factor combinations of the number 40,345,505?

 A:
Positive:   1 x 403455055 x 806910117 x 237326547 x 85841585 x 474653235 x 171683799 x 504953995 x 10099
Negative: -1 x -40345505-5 x -8069101-17 x -2373265-47 x -858415-85 x -474653-235 x -171683-799 x -50495-3995 x -10099


How do I find the factor combinations of the number 40,345,505?

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 40,345,505, 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 40,345,505
-1 -40,345,505

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 40,345,505.

Example:
1 x 40,345,505 = 40,345,505
and
-1 x -40,345,505 = 40,345,505
Notice both answers equal 40,345,505

With that explanation out of the way, let's continue. Next, we take the number 40,345,505 and divide it by 2:

40,345,505 ÷ 2 = 20,172,752.5

If the quotient is a whole number, then 2 and 20,172,752.5 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 40,345,505
-1 -40,345,505

Now, we try dividing 40,345,505 by 3:

40,345,505 ÷ 3 = 13,448,501.6667

If the quotient is a whole number, then 3 and 13,448,501.6667 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 40,345,505
-1 -40,345,505

Let's try dividing by 4:

40,345,505 ÷ 4 = 10,086,376.25

If the quotient is a whole number, then 4 and 10,086,376.25 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 40,345,505
-1 40,345,505
Keep dividing by the next highest number until you cannot divide anymore.

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

151747852357993,99510,09950,495171,683474,653858,4152,373,2658,069,10140,345,505
-1-5-17-47-85-235-799-3,995-10,099-50,495-171,683-474,653-858,415-2,373,265-8,069,101-40,345,505

More Examples

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