Q: What are the factor combinations of the number 125,012,153?

 A:
Positive:   1 x 1250121537 x 1785887919 x 657958723 x 5435311133 x 939941161 x 776473437 x 2860693059 x 40867
Negative: -1 x -125012153-7 x -17858879-19 x -6579587-23 x -5435311-133 x -939941-161 x -776473-437 x -286069-3059 x -40867


How do I find the factor combinations of the number 125,012,153?

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 125,012,153, 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.

1 125,012,153
-1 -125,012,153

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 125,012,153.

Example:
1 x 125,012,153 = 125,012,153
and
-1 x -125,012,153 = 125,012,153
Notice both answers equal 125,012,153

With that explanation out of the way, let's continue. Next, we take the number 125,012,153 and divide it by 2:

125,012,153 ÷ 2 = 62,506,076.5

If the quotient is a whole number, then 2 and 62,506,076.5 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:

1 125,012,153
-1 -125,012,153

Now, we try dividing 125,012,153 by 3:

125,012,153 ÷ 3 = 41,670,717.6667

If the quotient is a whole number, then 3 and 41,670,717.6667 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:

1 125,012,153
-1 -125,012,153

Let's try dividing by 4:

125,012,153 ÷ 4 = 31,253,038.25

If the quotient is a whole number, then 4 and 31,253,038.25 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:

1 125,012,153
-1 125,012,153
Keep dividing by the next highest number until you cannot divide anymore.

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

1719231331614373,05940,867286,069776,473939,9415,435,3116,579,58717,858,879125,012,153
-1-7-19-23-133-161-437-3,059-40,867-286,069-776,473-939,941-5,435,311-6,579,587-17,858,879-125,012,153

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 125,012,153:


Ask a Question