Q: What are the factor combinations of the number 40,137,565?

 A:
Positive:   1 x 401375655 x 802751313 x 308750541 x 97896565 x 617501205 x 195793533 x 753052665 x 15061
Negative: -1 x -40137565-5 x -8027513-13 x -3087505-41 x -978965-65 x -617501-205 x -195793-533 x -75305-2665 x -15061


How do I find the factor combinations of the number 40,137,565?

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 40,137,565, 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 40,137,565
-1 -40,137,565

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 40,137,565.

Example:
1 x 40,137,565 = 40,137,565
and
-1 x -40,137,565 = 40,137,565
Notice both answers equal 40,137,565

With that explanation out of the way, let's continue. Next, we take the number 40,137,565 and divide it by 2:

40,137,565 ÷ 2 = 20,068,782.5

If the quotient is a whole number, then 2 and 20,068,782.5 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 40,137,565
-1 -40,137,565

Now, we try dividing 40,137,565 by 3:

40,137,565 ÷ 3 = 13,379,188.3333

If the quotient is a whole number, then 3 and 13,379,188.3333 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 40,137,565
-1 -40,137,565

Let's try dividing by 4:

40,137,565 ÷ 4 = 10,034,391.25

If the quotient is a whole number, then 4 and 10,034,391.25 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 40,137,565
-1 40,137,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151341652055332,66515,06175,305195,793617,501978,9653,087,5058,027,51340,137,565
-1-5-13-41-65-205-533-2,665-15,061-75,305-195,793-617,501-978,965-3,087,505-8,027,513-40,137,565

More Examples

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