Q: What are the factor combinations of the number 40,155,125?

 A:
Positive:   1 x 401551255 x 803102523 x 174587525 x 1606205115 x 349175125 x 321241575 x 698352875 x 13967
Negative: -1 x -40155125-5 x -8031025-23 x -1745875-25 x -1606205-115 x -349175-125 x -321241-575 x -69835-2875 x -13967


How do I find the factor combinations of the number 40,155,125?

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 40,155,125, 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 40,155,125
-1 -40,155,125

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 40,155,125.

Example:
1 x 40,155,125 = 40,155,125
and
-1 x -40,155,125 = 40,155,125
Notice both answers equal 40,155,125

With that explanation out of the way, let's continue. Next, we take the number 40,155,125 and divide it by 2:

40,155,125 ÷ 2 = 20,077,562.5

If the quotient is a whole number, then 2 and 20,077,562.5 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 40,155,125
-1 -40,155,125

Now, we try dividing 40,155,125 by 3:

40,155,125 ÷ 3 = 13,385,041.6667

If the quotient is a whole number, then 3 and 13,385,041.6667 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 40,155,125
-1 -40,155,125

Let's try dividing by 4:

40,155,125 ÷ 4 = 10,038,781.25

If the quotient is a whole number, then 4 and 10,038,781.25 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 40,155,125
-1 40,155,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151255752,87513,96769,835321,241349,1751,606,2051,745,8758,031,02540,155,125
-1-5-23-25-115-125-575-2,875-13,967-69,835-321,241-349,175-1,606,205-1,745,875-8,031,025-40,155,125

More Examples

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