Q: What are the factor combinations of the number 16,210,625?

 A:
Positive:   1 x 162106255 x 324212525 x 64842537 x 438125125 x 129685185 x 87625625 x 25937701 x 23125925 x 175253505 x 4625
Negative: -1 x -16210625-5 x -3242125-25 x -648425-37 x -438125-125 x -129685-185 x -87625-625 x -25937-701 x -23125-925 x -17525-3505 x -4625


How do I find the factor combinations of the number 16,210,625?

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 16,210,625, 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 16,210,625
-1 -16,210,625

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 16,210,625.

Example:
1 x 16,210,625 = 16,210,625
and
-1 x -16,210,625 = 16,210,625
Notice both answers equal 16,210,625

With that explanation out of the way, let's continue. Next, we take the number 16,210,625 and divide it by 2:

16,210,625 ÷ 2 = 8,105,312.5

If the quotient is a whole number, then 2 and 8,105,312.5 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 16,210,625
-1 -16,210,625

Now, we try dividing 16,210,625 by 3:

16,210,625 ÷ 3 = 5,403,541.6667

If the quotient is a whole number, then 3 and 5,403,541.6667 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 16,210,625
-1 -16,210,625

Let's try dividing by 4:

16,210,625 ÷ 4 = 4,052,656.25

If the quotient is a whole number, then 4 and 4,052,656.25 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 16,210,625
-1 16,210,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371251856257019253,5054,62517,52523,12525,93787,625129,685438,125648,4253,242,12516,210,625
-1-5-25-37-125-185-625-701-925-3,505-4,625-17,525-23,125-25,937-87,625-129,685-438,125-648,425-3,242,125-16,210,625

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