Q: What are the factor combinations of the number 225,024,115?

 A:
Positive:   1 x 2250241155 x 45004823211 x 1066465263 x 855605811 x 2774651055 x 2132931315 x 1711214055 x 55493
Negative: -1 x -225024115-5 x -45004823-211 x -1066465-263 x -855605-811 x -277465-1055 x -213293-1315 x -171121-4055 x -55493


How do I find the factor combinations of the number 225,024,115?

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 225,024,115, 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.

1 225,024,115
-1 -225,024,115

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 225,024,115.

Example:
1 x 225,024,115 = 225,024,115
and
-1 x -225,024,115 = 225,024,115
Notice both answers equal 225,024,115

With that explanation out of the way, let's continue. Next, we take the number 225,024,115 and divide it by 2:

225,024,115 ÷ 2 = 112,512,057.5

If the quotient is a whole number, then 2 and 112,512,057.5 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:

1 225,024,115
-1 -225,024,115

Now, we try dividing 225,024,115 by 3:

225,024,115 ÷ 3 = 75,008,038.3333

If the quotient is a whole number, then 3 and 75,008,038.3333 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:

1 225,024,115
-1 -225,024,115

Let's try dividing by 4:

225,024,115 ÷ 4 = 56,256,028.75

If the quotient is a whole number, then 4 and 56,256,028.75 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:

1 225,024,115
-1 225,024,115
Keep dividing by the next highest number until you cannot divide anymore.

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

152112638111,0551,3154,05555,493171,121213,293277,465855,6051,066,46545,004,823225,024,115
-1-5-211-263-811-1,055-1,315-4,055-55,493-171,121-213,293-277,465-855,605-1,066,465-45,004,823-225,024,115

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