Q: What are the factor combinations of the number 25,026,001?

 A:
Positive:   1 x 250260017 x 357514311 x 227509113 x 192507723 x 108808777 x 32501391 x 275011143 x 175007161 x 155441253 x 98917299 x 836991001 x 250011087 x 230231771 x 141312093 x 119573289 x 7609
Negative: -1 x -25026001-7 x -3575143-11 x -2275091-13 x -1925077-23 x -1088087-77 x -325013-91 x -275011-143 x -175007-161 x -155441-253 x -98917-299 x -83699-1001 x -25001-1087 x -23023-1771 x -14131-2093 x -11957-3289 x -7609


How do I find the factor combinations of the number 25,026,001?

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 25,026,001, 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 25,026,001
-1 -25,026,001

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 25,026,001.

Example:
1 x 25,026,001 = 25,026,001
and
-1 x -25,026,001 = 25,026,001
Notice both answers equal 25,026,001

With that explanation out of the way, let's continue. Next, we take the number 25,026,001 and divide it by 2:

25,026,001 ÷ 2 = 12,513,000.5

If the quotient is a whole number, then 2 and 12,513,000.5 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 25,026,001
-1 -25,026,001

Now, we try dividing 25,026,001 by 3:

25,026,001 ÷ 3 = 8,342,000.3333

If the quotient is a whole number, then 3 and 8,342,000.3333 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 25,026,001
-1 -25,026,001

Let's try dividing by 4:

25,026,001 ÷ 4 = 6,256,500.25

If the quotient is a whole number, then 4 and 6,256,500.25 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 25,026,001
-1 25,026,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1711132377911431612532991,0011,0871,7712,0933,2897,60911,95714,13123,02325,00183,69998,917155,441175,007275,011325,0131,088,0871,925,0772,275,0913,575,14325,026,001
-1-7-11-13-23-77-91-143-161-253-299-1,001-1,087-1,771-2,093-3,289-7,609-11,957-14,131-23,023-25,001-83,699-98,917-155,441-175,007-275,011-325,013-1,088,087-1,925,077-2,275,091-3,575,143-25,026,001

More Examples

Here are some more numbers to try:

25,025,99925,026,00025,026,00225,026,003
Try the factor calculator

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