Q: What are the factor combinations of the number 245,698,207?

 A:
Positive:   1 x 245698207139 x 1767613821 x 2992672153 x 114119
Negative: -1 x -245698207-139 x -1767613-821 x -299267-2153 x -114119


How do I find the factor combinations of the number 245,698,207?

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 245,698,207, 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.

1 245,698,207
-1 -245,698,207

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 245,698,207.

Example:
1 x 245,698,207 = 245,698,207
and
-1 x -245,698,207 = 245,698,207
Notice both answers equal 245,698,207

With that explanation out of the way, let's continue. Next, we take the number 245,698,207 and divide it by 2:

245,698,207 ÷ 2 = 122,849,103.5

If the quotient is a whole number, then 2 and 122,849,103.5 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:

1 245,698,207
-1 -245,698,207

Now, we try dividing 245,698,207 by 3:

245,698,207 ÷ 3 = 81,899,402.3333

If the quotient is a whole number, then 3 and 81,899,402.3333 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:

1 245,698,207
-1 -245,698,207

Let's try dividing by 4:

245,698,207 ÷ 4 = 61,424,551.75

If the quotient is a whole number, then 4 and 61,424,551.75 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:

1 245,698,207
-1 245,698,207
Keep dividing by the next highest number until you cannot divide anymore.

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

11398212,153114,119299,2671,767,613245,698,207
-1-139-821-2,153-114,119-299,267-1,767,613-245,698,207

More Examples

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