Q: What are the factor combinations of the number 100,853,425?

 A:
Positive:   1 x 1008534255 x 2017068519 x 530807525 x 403413767 x 150527595 x 1061615335 x 301055475 x 2123231273 x 792251675 x 602113169 x 318256365 x 15845
Negative: -1 x -100853425-5 x -20170685-19 x -5308075-25 x -4034137-67 x -1505275-95 x -1061615-335 x -301055-475 x -212323-1273 x -79225-1675 x -60211-3169 x -31825-6365 x -15845


How do I find the factor combinations of the number 100,853,425?

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 100,853,425, 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.

1 100,853,425
-1 -100,853,425

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 100,853,425.

Example:
1 x 100,853,425 = 100,853,425
and
-1 x -100,853,425 = 100,853,425
Notice both answers equal 100,853,425

With that explanation out of the way, let's continue. Next, we take the number 100,853,425 and divide it by 2:

100,853,425 ÷ 2 = 50,426,712.5

If the quotient is a whole number, then 2 and 50,426,712.5 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:

1 100,853,425
-1 -100,853,425

Now, we try dividing 100,853,425 by 3:

100,853,425 ÷ 3 = 33,617,808.3333

If the quotient is a whole number, then 3 and 33,617,808.3333 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:

1 100,853,425
-1 -100,853,425

Let's try dividing by 4:

100,853,425 ÷ 4 = 25,213,356.25

If the quotient is a whole number, then 4 and 25,213,356.25 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:

1 100,853,425
-1 100,853,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192567953354751,2731,6753,1696,36515,84531,82560,21179,225212,323301,0551,061,6151,505,2754,034,1375,308,07520,170,685100,853,425
-1-5-19-25-67-95-335-475-1,273-1,675-3,169-6,365-15,845-31,825-60,211-79,225-212,323-301,055-1,061,615-1,505,275-4,034,137-5,308,075-20,170,685-100,853,425

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