Q: What are the factor combinations of the number 702,200,375?

 A:
Positive:   1 x 7022003755 x 14044007525 x 2808801531 x 22651625125 x 5617603155 x 4530325775 x 9060653875 x 181213
Negative: -1 x -702200375-5 x -140440075-25 x -28088015-31 x -22651625-125 x -5617603-155 x -4530325-775 x -906065-3875 x -181213


How do I find the factor combinations of the number 702,200,375?

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 702,200,375, 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.

1 702,200,375
-1 -702,200,375

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 702,200,375.

Example:
1 x 702,200,375 = 702,200,375
and
-1 x -702,200,375 = 702,200,375
Notice both answers equal 702,200,375

With that explanation out of the way, let's continue. Next, we take the number 702,200,375 and divide it by 2:

702,200,375 ÷ 2 = 351,100,187.5

If the quotient is a whole number, then 2 and 351,100,187.5 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:

1 702,200,375
-1 -702,200,375

Now, we try dividing 702,200,375 by 3:

702,200,375 ÷ 3 = 234,066,791.6667

If the quotient is a whole number, then 3 and 234,066,791.6667 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:

1 702,200,375
-1 -702,200,375

Let's try dividing by 4:

702,200,375 ÷ 4 = 175,550,093.75

If the quotient is a whole number, then 4 and 175,550,093.75 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:

1 702,200,375
-1 702,200,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311251557753,875181,213906,0654,530,3255,617,60322,651,62528,088,015140,440,075702,200,375
-1-5-25-31-125-155-775-3,875-181,213-906,065-4,530,325-5,617,603-22,651,625-28,088,015-140,440,075-702,200,375

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 702,200,375:


Ask a Question