Q: What are the factor combinations of the number 16,071,425?

 A:
Positive:   1 x 160714255 x 321428525 x 642857113 x 142225565 x 284452825 x 5689
Negative: -1 x -16071425-5 x -3214285-25 x -642857-113 x -142225-565 x -28445-2825 x -5689


How do I find the factor combinations of the number 16,071,425?

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 16,071,425, 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 16,071,425
-1 -16,071,425

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 16,071,425.

Example:
1 x 16,071,425 = 16,071,425
and
-1 x -16,071,425 = 16,071,425
Notice both answers equal 16,071,425

With that explanation out of the way, let's continue. Next, we take the number 16,071,425 and divide it by 2:

16,071,425 ÷ 2 = 8,035,712.5

If the quotient is a whole number, then 2 and 8,035,712.5 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 16,071,425
-1 -16,071,425

Now, we try dividing 16,071,425 by 3:

16,071,425 ÷ 3 = 5,357,141.6667

If the quotient is a whole number, then 3 and 5,357,141.6667 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 16,071,425
-1 -16,071,425

Let's try dividing by 4:

16,071,425 ÷ 4 = 4,017,856.25

If the quotient is a whole number, then 4 and 4,017,856.25 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 16,071,425
-1 16,071,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15251135652,8255,68928,445142,225642,8573,214,28516,071,425
-1-5-25-113-565-2,825-5,689-28,445-142,225-642,857-3,214,285-16,071,425

More Examples

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