Q: What are the factor combinations of the number 123,251,207?

 A:
Positive:   1 x 12325120717 x 725007141 x 300612797 x 1270631697 x 1768311649 x 747431823 x 676093977 x 30991
Negative: -1 x -123251207-17 x -7250071-41 x -3006127-97 x -1270631-697 x -176831-1649 x -74743-1823 x -67609-3977 x -30991


How do I find the factor combinations of the number 123,251,207?

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 123,251,207, 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.

1 123,251,207
-1 -123,251,207

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 123,251,207.

Example:
1 x 123,251,207 = 123,251,207
and
-1 x -123,251,207 = 123,251,207
Notice both answers equal 123,251,207

With that explanation out of the way, let's continue. Next, we take the number 123,251,207 and divide it by 2:

123,251,207 ÷ 2 = 61,625,603.5

If the quotient is a whole number, then 2 and 61,625,603.5 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:

1 123,251,207
-1 -123,251,207

Now, we try dividing 123,251,207 by 3:

123,251,207 ÷ 3 = 41,083,735.6667

If the quotient is a whole number, then 3 and 41,083,735.6667 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:

1 123,251,207
-1 -123,251,207

Let's try dividing by 4:

123,251,207 ÷ 4 = 30,812,801.75

If the quotient is a whole number, then 4 and 30,812,801.75 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:

1 123,251,207
-1 123,251,207
Keep dividing by the next highest number until you cannot divide anymore.

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

11741976971,6491,8233,97730,99167,60974,743176,8311,270,6313,006,1277,250,071123,251,207
-1-17-41-97-697-1,649-1,823-3,977-30,991-67,609-74,743-176,831-1,270,631-3,006,127-7,250,071-123,251,207

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 123,251,207:


Ask a Question