Q: What are the factor combinations of the number 225,001,315?

 A:
Positive:   1 x 2250013155 x 450002637 x 3214304511 x 2045466535 x 642860955 x 409093377 x 2922095121 x 1859515385 x 584419605 x 371903847 x 2656454235 x 53129
Negative: -1 x -225001315-5 x -45000263-7 x -32143045-11 x -20454665-35 x -6428609-55 x -4090933-77 x -2922095-121 x -1859515-385 x -584419-605 x -371903-847 x -265645-4235 x -53129


How do I find the factor combinations of the number 225,001,315?

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 225,001,315, 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.

1 225,001,315
-1 -225,001,315

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 225,001,315.

Example:
1 x 225,001,315 = 225,001,315
and
-1 x -225,001,315 = 225,001,315
Notice both answers equal 225,001,315

With that explanation out of the way, let's continue. Next, we take the number 225,001,315 and divide it by 2:

225,001,315 ÷ 2 = 112,500,657.5

If the quotient is a whole number, then 2 and 112,500,657.5 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:

1 225,001,315
-1 -225,001,315

Now, we try dividing 225,001,315 by 3:

225,001,315 ÷ 3 = 75,000,438.3333

If the quotient is a whole number, then 3 and 75,000,438.3333 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:

1 225,001,315
-1 -225,001,315

Let's try dividing by 4:

225,001,315 ÷ 4 = 56,250,328.75

If the quotient is a whole number, then 4 and 56,250,328.75 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:

1 225,001,315
-1 225,001,315
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555771213856058474,23553,129265,645371,903584,4191,859,5152,922,0954,090,9336,428,60920,454,66532,143,04545,000,263225,001,315
-1-5-7-11-35-55-77-121-385-605-847-4,235-53,129-265,645-371,903-584,419-1,859,515-2,922,095-4,090,933-6,428,609-20,454,665-32,143,045-45,000,263-225,001,315

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