Q: What are the factor combinations of the number 16,697,345?

 A:
Positive:   1 x 166973455 x 33394697 x 238533535 x 477067373 x 447651279 x 130551865 x 89532611 x 6395
Negative: -1 x -16697345-5 x -3339469-7 x -2385335-35 x -477067-373 x -44765-1279 x -13055-1865 x -8953-2611 x -6395


How do I find the factor combinations of the number 16,697,345?

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 16,697,345, 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 16,697,345
-1 -16,697,345

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 16,697,345.

Example:
1 x 16,697,345 = 16,697,345
and
-1 x -16,697,345 = 16,697,345
Notice both answers equal 16,697,345

With that explanation out of the way, let's continue. Next, we take the number 16,697,345 and divide it by 2:

16,697,345 ÷ 2 = 8,348,672.5

If the quotient is a whole number, then 2 and 8,348,672.5 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 16,697,345
-1 -16,697,345

Now, we try dividing 16,697,345 by 3:

16,697,345 ÷ 3 = 5,565,781.6667

If the quotient is a whole number, then 3 and 5,565,781.6667 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 16,697,345
-1 -16,697,345

Let's try dividing by 4:

16,697,345 ÷ 4 = 4,174,336.25

If the quotient is a whole number, then 4 and 4,174,336.25 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 16,697,345
-1 16,697,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157353731,2791,8652,6116,3958,95313,05544,765477,0672,385,3353,339,46916,697,345
-1-5-7-35-373-1,279-1,865-2,611-6,395-8,953-13,055-44,765-477,067-2,385,335-3,339,469-16,697,345

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