Q: What are the factor combinations of the number 100,232,425?

 A:
Positive:   1 x 1002324255 x 2004648517 x 589602525 x 400929785 x 1179205289 x 346825425 x 2358411445 x 693657225 x 13873
Negative: -1 x -100232425-5 x -20046485-17 x -5896025-25 x -4009297-85 x -1179205-289 x -346825-425 x -235841-1445 x -69365-7225 x -13873


How do I find the factor combinations of the number 100,232,425?

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 100,232,425, 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.

1 100,232,425
-1 -100,232,425

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 100,232,425.

Example:
1 x 100,232,425 = 100,232,425
and
-1 x -100,232,425 = 100,232,425
Notice both answers equal 100,232,425

With that explanation out of the way, let's continue. Next, we take the number 100,232,425 and divide it by 2:

100,232,425 ÷ 2 = 50,116,212.5

If the quotient is a whole number, then 2 and 50,116,212.5 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:

1 100,232,425
-1 -100,232,425

Now, we try dividing 100,232,425 by 3:

100,232,425 ÷ 3 = 33,410,808.3333

If the quotient is a whole number, then 3 and 33,410,808.3333 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:

1 100,232,425
-1 -100,232,425

Let's try dividing by 4:

100,232,425 ÷ 4 = 25,058,106.25

If the quotient is a whole number, then 4 and 25,058,106.25 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:

1 100,232,425
-1 100,232,425
Keep dividing by the next highest number until you cannot divide anymore.

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

151725852894251,4457,22513,87369,365235,841346,8251,179,2054,009,2975,896,02520,046,485100,232,425
-1-5-17-25-85-289-425-1,445-7,225-13,873-69,365-235,841-346,825-1,179,205-4,009,297-5,896,025-20,046,485-100,232,425

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