Q: What are the factor combinations of the number 160,162,207?

 A:
Positive:   1 x 160162207307 x 521701401 x 3994071301 x 123107
Negative: -1 x -160162207-307 x -521701-401 x -399407-1301 x -123107


How do I find the factor combinations of the number 160,162,207?

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 160,162,207, 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.

1 160,162,207
-1 -160,162,207

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 160,162,207.

Example:
1 x 160,162,207 = 160,162,207
and
-1 x -160,162,207 = 160,162,207
Notice both answers equal 160,162,207

With that explanation out of the way, let's continue. Next, we take the number 160,162,207 and divide it by 2:

160,162,207 ÷ 2 = 80,081,103.5

If the quotient is a whole number, then 2 and 80,081,103.5 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:

1 160,162,207
-1 -160,162,207

Now, we try dividing 160,162,207 by 3:

160,162,207 ÷ 3 = 53,387,402.3333

If the quotient is a whole number, then 3 and 53,387,402.3333 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:

1 160,162,207
-1 -160,162,207

Let's try dividing by 4:

160,162,207 ÷ 4 = 40,040,551.75

If the quotient is a whole number, then 4 and 40,040,551.75 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:

1 160,162,207
-1 160,162,207
Keep dividing by the next highest number until you cannot divide anymore.

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

13074011,301123,107399,407521,701160,162,207
-1-307-401-1,301-123,107-399,407-521,701-160,162,207

More Examples

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