Q: What are the factor combinations of the number 16,231,175?

 A:
Positive:   1 x 162311755 x 324623517 x 95477525 x 64924785 x 190955181 x 89675211 x 76925425 x 38191905 x 179351055 x 153853077 x 52753587 x 4525
Negative: -1 x -16231175-5 x -3246235-17 x -954775-25 x -649247-85 x -190955-181 x -89675-211 x -76925-425 x -38191-905 x -17935-1055 x -15385-3077 x -5275-3587 x -4525


How do I find the factor combinations of the number 16,231,175?

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 16,231,175, 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 16,231,175
-1 -16,231,175

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 16,231,175.

Example:
1 x 16,231,175 = 16,231,175
and
-1 x -16,231,175 = 16,231,175
Notice both answers equal 16,231,175

With that explanation out of the way, let's continue. Next, we take the number 16,231,175 and divide it by 2:

16,231,175 ÷ 2 = 8,115,587.5

If the quotient is a whole number, then 2 and 8,115,587.5 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 16,231,175
-1 -16,231,175

Now, we try dividing 16,231,175 by 3:

16,231,175 ÷ 3 = 5,410,391.6667

If the quotient is a whole number, then 3 and 5,410,391.6667 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 16,231,175
-1 -16,231,175

Let's try dividing by 4:

16,231,175 ÷ 4 = 4,057,793.75

If the quotient is a whole number, then 4 and 4,057,793.75 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 16,231,175
-1 16,231,175
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851812114259051,0553,0773,5874,5255,27515,38517,93538,19176,92589,675190,955649,247954,7753,246,23516,231,175
-1-5-17-25-85-181-211-425-905-1,055-3,077-3,587-4,525-5,275-15,385-17,935-38,191-76,925-89,675-190,955-649,247-954,775-3,246,235-16,231,175

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