Q: What are the factor combinations of the number 71,341,325?

 A:
Positive:   1 x 713413255 x 1426826511 x 648557525 x 285365355 x 129711559 x 1209175275 x 259423295 x 241835649 x 1099251475 x 483673245 x 219854397 x 16225
Negative: -1 x -71341325-5 x -14268265-11 x -6485575-25 x -2853653-55 x -1297115-59 x -1209175-275 x -259423-295 x -241835-649 x -109925-1475 x -48367-3245 x -21985-4397 x -16225


How do I find the factor combinations of the number 71,341,325?

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 71,341,325, 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 71,341,325
-1 -71,341,325

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 71,341,325.

Example:
1 x 71,341,325 = 71,341,325
and
-1 x -71,341,325 = 71,341,325
Notice both answers equal 71,341,325

With that explanation out of the way, let's continue. Next, we take the number 71,341,325 and divide it by 2:

71,341,325 ÷ 2 = 35,670,662.5

If the quotient is a whole number, then 2 and 35,670,662.5 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 71,341,325
-1 -71,341,325

Now, we try dividing 71,341,325 by 3:

71,341,325 ÷ 3 = 23,780,441.6667

If the quotient is a whole number, then 3 and 23,780,441.6667 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 71,341,325
-1 -71,341,325

Let's try dividing by 4:

71,341,325 ÷ 4 = 17,835,331.25

If the quotient is a whole number, then 4 and 17,835,331.25 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 71,341,325
-1 71,341,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112555592752956491,4753,2454,39716,22521,98548,367109,925241,835259,4231,209,1751,297,1152,853,6536,485,57514,268,26571,341,325
-1-5-11-25-55-59-275-295-649-1,475-3,245-4,397-16,225-21,985-48,367-109,925-241,835-259,423-1,209,175-1,297,115-2,853,653-6,485,575-14,268,265-71,341,325

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 71,341,325:


Ask a Question