Q: What are the factor combinations of the number 225,250,025?

 A:
Positive:   1 x 2252500255 x 450500057 x 3217857511 x 2047727513 x 1732692525 x 901000135 x 643571555 x 409545565 x 346538577 x 292532591 x 2475275143 x 1575175175 x 1287143275 x 819091325 x 693077385 x 585065455 x 495055715 x 3150351001 x 2250251925 x 1170132275 x 990113575 x 630075005 x 450059001 x 25025
Negative: -1 x -225250025-5 x -45050005-7 x -32178575-11 x -20477275-13 x -17326925-25 x -9010001-35 x -6435715-55 x -4095455-65 x -3465385-77 x -2925325-91 x -2475275-143 x -1575175-175 x -1287143-275 x -819091-325 x -693077-385 x -585065-455 x -495055-715 x -315035-1001 x -225025-1925 x -117013-2275 x -99011-3575 x -63007-5005 x -45005-9001 x -25025


How do I find the factor combinations of the number 225,250,025?

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 225,250,025, 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.

1 225,250,025
-1 -225,250,025

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 225,250,025.

Example:
1 x 225,250,025 = 225,250,025
and
-1 x -225,250,025 = 225,250,025
Notice both answers equal 225,250,025

With that explanation out of the way, let's continue. Next, we take the number 225,250,025 and divide it by 2:

225,250,025 ÷ 2 = 112,625,012.5

If the quotient is a whole number, then 2 and 112,625,012.5 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:

1 225,250,025
-1 -225,250,025

Now, we try dividing 225,250,025 by 3:

225,250,025 ÷ 3 = 75,083,341.6667

If the quotient is a whole number, then 3 and 75,083,341.6667 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:

1 225,250,025
-1 -225,250,025

Let's try dividing by 4:

225,250,025 ÷ 4 = 56,312,506.25

If the quotient is a whole number, then 4 and 56,312,506.25 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:

1 225,250,025
-1 225,250,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15711132535556577911431752753253854557151,0011,9252,2753,5755,0059,00125,02545,00563,00799,011117,013225,025315,035495,055585,065693,077819,0911,287,1431,575,1752,475,2752,925,3253,465,3854,095,4556,435,7159,010,00117,326,92520,477,27532,178,57545,050,005225,250,025
-1-5-7-11-13-25-35-55-65-77-91-143-175-275-325-385-455-715-1,001-1,925-2,275-3,575-5,005-9,001-25,025-45,005-63,007-99,011-117,013-225,025-315,035-495,055-585,065-693,077-819,091-1,287,143-1,575,175-2,475,275-2,925,325-3,465,385-4,095,455-6,435,715-9,010,001-17,326,925-20,477,275-32,178,575-45,050,005-225,250,025

More Examples

Here are some more numbers to try:

225,250,023225,250,024225,250,026225,250,027
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