Q: What are the factor combinations of the number 250,371,035?

 A:
Positive:   1 x 2503710355 x 5007420731 x 8076485155 x 16152971259 x 1988651283 x 1951456295 x 397736415 x 39029
Negative: -1 x -250371035-5 x -50074207-31 x -8076485-155 x -1615297-1259 x -198865-1283 x -195145-6295 x -39773-6415 x -39029


How do I find the factor combinations of the number 250,371,035?

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 250,371,035, 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.

1 250,371,035
-1 -250,371,035

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 250,371,035.

Example:
1 x 250,371,035 = 250,371,035
and
-1 x -250,371,035 = 250,371,035
Notice both answers equal 250,371,035

With that explanation out of the way, let's continue. Next, we take the number 250,371,035 and divide it by 2:

250,371,035 ÷ 2 = 125,185,517.5

If the quotient is a whole number, then 2 and 125,185,517.5 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:

1 250,371,035
-1 -250,371,035

Now, we try dividing 250,371,035 by 3:

250,371,035 ÷ 3 = 83,457,011.6667

If the quotient is a whole number, then 3 and 83,457,011.6667 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:

1 250,371,035
-1 -250,371,035

Let's try dividing by 4:

250,371,035 ÷ 4 = 62,592,758.75

If the quotient is a whole number, then 4 and 62,592,758.75 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:

1 250,371,035
-1 250,371,035
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551,2591,2836,2956,41539,02939,773195,145198,8651,615,2978,076,48550,074,207250,371,035
-1-5-31-155-1,259-1,283-6,295-6,415-39,029-39,773-195,145-198,865-1,615,297-8,076,485-50,074,207-250,371,035

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 250,371,035:


Ask a Question