Q: What are the factor combinations of the number 40,313,497?

 A:
Positive:   1 x 403134977 x 575907119 x 212176361 x 660877133 x 303109427 x 944111159 x 347834969 x 8113
Negative: -1 x -40313497-7 x -5759071-19 x -2121763-61 x -660877-133 x -303109-427 x -94411-1159 x -34783-4969 x -8113


How do I find the factor combinations of the number 40,313,497?

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 40,313,497, 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 40,313,497
-1 -40,313,497

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 40,313,497.

Example:
1 x 40,313,497 = 40,313,497
and
-1 x -40,313,497 = 40,313,497
Notice both answers equal 40,313,497

With that explanation out of the way, let's continue. Next, we take the number 40,313,497 and divide it by 2:

40,313,497 ÷ 2 = 20,156,748.5

If the quotient is a whole number, then 2 and 20,156,748.5 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 40,313,497
-1 -40,313,497

Now, we try dividing 40,313,497 by 3:

40,313,497 ÷ 3 = 13,437,832.3333

If the quotient is a whole number, then 3 and 13,437,832.3333 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 40,313,497
-1 -40,313,497

Let's try dividing by 4:

40,313,497 ÷ 4 = 10,078,374.25

If the quotient is a whole number, then 4 and 10,078,374.25 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 40,313,497
-1 40,313,497
Keep dividing by the next highest number until you cannot divide anymore.

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

1719611334271,1594,9698,11334,78394,411303,109660,8772,121,7635,759,07140,313,497
-1-7-19-61-133-427-1,159-4,969-8,113-34,783-94,411-303,109-660,877-2,121,763-5,759,071-40,313,497

More Examples

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