Q: What are the factor combinations of the number 422,412,325?

 A:
Positive:   1 x 4224123255 x 8448246525 x 16896493197 x 2144225199 x 2122675431 x 980075985 x 428845995 x 4245352155 x 1960154925 x 857694975 x 8490710775 x 39203
Negative: -1 x -422412325-5 x -84482465-25 x -16896493-197 x -2144225-199 x -2122675-431 x -980075-985 x -428845-995 x -424535-2155 x -196015-4925 x -85769-4975 x -84907-10775 x -39203


How do I find the factor combinations of the number 422,412,325?

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 422,412,325, 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.

1 422,412,325
-1 -422,412,325

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 422,412,325.

Example:
1 x 422,412,325 = 422,412,325
and
-1 x -422,412,325 = 422,412,325
Notice both answers equal 422,412,325

With that explanation out of the way, let's continue. Next, we take the number 422,412,325 and divide it by 2:

422,412,325 ÷ 2 = 211,206,162.5

If the quotient is a whole number, then 2 and 211,206,162.5 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:

1 422,412,325
-1 -422,412,325

Now, we try dividing 422,412,325 by 3:

422,412,325 ÷ 3 = 140,804,108.3333

If the quotient is a whole number, then 3 and 140,804,108.3333 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:

1 422,412,325
-1 -422,412,325

Let's try dividing by 4:

422,412,325 ÷ 4 = 105,603,081.25

If the quotient is a whole number, then 4 and 105,603,081.25 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:

1 422,412,325
-1 422,412,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15251971994319859952,1554,9254,97510,77539,20384,90785,769196,015424,535428,845980,0752,122,6752,144,22516,896,49384,482,465422,412,325
-1-5-25-197-199-431-985-995-2,155-4,925-4,975-10,775-39,203-84,907-85,769-196,015-424,535-428,845-980,075-2,122,675-2,144,225-16,896,493-84,482,465-422,412,325

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 422,412,325:


Ask a Question