Q: What are the factor combinations of the number 225,252,145?

 A:
Positive:   1 x 2252521455 x 45050429163 x 1381915479 x 470255577 x 390385815 x 2763832395 x 940512885 x 78077
Negative: -1 x -225252145-5 x -45050429-163 x -1381915-479 x -470255-577 x -390385-815 x -276383-2395 x -94051-2885 x -78077


How do I find the factor combinations of the number 225,252,145?

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 225,252,145, 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.

1 225,252,145
-1 -225,252,145

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 225,252,145.

Example:
1 x 225,252,145 = 225,252,145
and
-1 x -225,252,145 = 225,252,145
Notice both answers equal 225,252,145

With that explanation out of the way, let's continue. Next, we take the number 225,252,145 and divide it by 2:

225,252,145 ÷ 2 = 112,626,072.5

If the quotient is a whole number, then 2 and 112,626,072.5 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:

1 225,252,145
-1 -225,252,145

Now, we try dividing 225,252,145 by 3:

225,252,145 ÷ 3 = 75,084,048.3333

If the quotient is a whole number, then 3 and 75,084,048.3333 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:

1 225,252,145
-1 -225,252,145

Let's try dividing by 4:

225,252,145 ÷ 4 = 56,313,036.25

If the quotient is a whole number, then 4 and 56,313,036.25 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:

1 225,252,145
-1 225,252,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151634795778152,3952,88578,07794,051276,383390,385470,2551,381,91545,050,429225,252,145
-1-5-163-479-577-815-2,395-2,885-78,077-94,051-276,383-390,385-470,255-1,381,915-45,050,429-225,252,145

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