Q: What are the factor combinations of the number 250,354,225?

 A:
Positive:   1 x 2503542255 x 5007084511 x 2275947525 x 1001416955 x 4551895151 x 1657975275 x 910379755 x 3315951661 x 1507253775 x 663196029 x 415258305 x 30145
Negative: -1 x -250354225-5 x -50070845-11 x -22759475-25 x -10014169-55 x -4551895-151 x -1657975-275 x -910379-755 x -331595-1661 x -150725-3775 x -66319-6029 x -41525-8305 x -30145


How do I find the factor combinations of the number 250,354,225?

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 250,354,225, 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.

1 250,354,225
-1 -250,354,225

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 250,354,225.

Example:
1 x 250,354,225 = 250,354,225
and
-1 x -250,354,225 = 250,354,225
Notice both answers equal 250,354,225

With that explanation out of the way, let's continue. Next, we take the number 250,354,225 and divide it by 2:

250,354,225 ÷ 2 = 125,177,112.5

If the quotient is a whole number, then 2 and 125,177,112.5 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:

1 250,354,225
-1 -250,354,225

Now, we try dividing 250,354,225 by 3:

250,354,225 ÷ 3 = 83,451,408.3333

If the quotient is a whole number, then 3 and 83,451,408.3333 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:

1 250,354,225
-1 -250,354,225

Let's try dividing by 4:

250,354,225 ÷ 4 = 62,588,556.25

If the quotient is a whole number, then 4 and 62,588,556.25 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:

1 250,354,225
-1 250,354,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551512757551,6613,7756,0298,30530,14541,52566,319150,725331,595910,3791,657,9754,551,89510,014,16922,759,47550,070,845250,354,225
-1-5-11-25-55-151-275-755-1,661-3,775-6,029-8,305-30,145-41,525-66,319-150,725-331,595-910,379-1,657,975-4,551,895-10,014,169-22,759,475-50,070,845-250,354,225

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 250,354,225:


Ask a Question