Q: What are the factor combinations of the number 322,021,225?

 A:
Positive:   1 x 3220212255 x 6440424517 x 1894242525 x 1288084985 x 3788485191 x 1685975425 x 757697955 x 3371953247 x 991753967 x 811754775 x 6743916235 x 19835
Negative: -1 x -322021225-5 x -64404245-17 x -18942425-25 x -12880849-85 x -3788485-191 x -1685975-425 x -757697-955 x -337195-3247 x -99175-3967 x -81175-4775 x -67439-16235 x -19835


How do I find the factor combinations of the number 322,021,225?

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 322,021,225, 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.

1 322,021,225
-1 -322,021,225

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 322,021,225.

Example:
1 x 322,021,225 = 322,021,225
and
-1 x -322,021,225 = 322,021,225
Notice both answers equal 322,021,225

With that explanation out of the way, let's continue. Next, we take the number 322,021,225 and divide it by 2:

322,021,225 ÷ 2 = 161,010,612.5

If the quotient is a whole number, then 2 and 161,010,612.5 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:

1 322,021,225
-1 -322,021,225

Now, we try dividing 322,021,225 by 3:

322,021,225 ÷ 3 = 107,340,408.3333

If the quotient is a whole number, then 3 and 107,340,408.3333 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:

1 322,021,225
-1 -322,021,225

Let's try dividing by 4:

322,021,225 ÷ 4 = 80,505,306.25

If the quotient is a whole number, then 4 and 80,505,306.25 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:

1 322,021,225
-1 322,021,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851914259553,2473,9674,77516,23519,83567,43981,17599,175337,195757,6971,685,9753,788,48512,880,84918,942,42564,404,245322,021,225
-1-5-17-25-85-191-425-955-3,247-3,967-4,775-16,235-19,835-67,439-81,175-99,175-337,195-757,697-1,685,975-3,788,485-12,880,849-18,942,425-64,404,245-322,021,225

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