Q: What are the factor combinations of the number 162,531,425?

 A:
Positive:   1 x 1625314255 x 325062857 x 2321877525 x 650125735 x 464375571 x 2289175103 x 1577975127 x 1279775175 x 928751355 x 457835497 x 327025515 x 315595635 x 255955721 x 225425889 x 1828251775 x 915672485 x 654052575 x 631193175 x 511913605 x 450854445 x 365657313 x 222259017 x 1802512425 x 13081
Negative: -1 x -162531425-5 x -32506285-7 x -23218775-25 x -6501257-35 x -4643755-71 x -2289175-103 x -1577975-127 x -1279775-175 x -928751-355 x -457835-497 x -327025-515 x -315595-635 x -255955-721 x -225425-889 x -182825-1775 x -91567-2485 x -65405-2575 x -63119-3175 x -51191-3605 x -45085-4445 x -36565-7313 x -22225-9017 x -18025-12425 x -13081


How do I find the factor combinations of the number 162,531,425?

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 162,531,425, 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.

1 162,531,425
-1 -162,531,425

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 162,531,425.

Example:
1 x 162,531,425 = 162,531,425
and
-1 x -162,531,425 = 162,531,425
Notice both answers equal 162,531,425

With that explanation out of the way, let's continue. Next, we take the number 162,531,425 and divide it by 2:

162,531,425 ÷ 2 = 81,265,712.5

If the quotient is a whole number, then 2 and 81,265,712.5 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:

1 162,531,425
-1 -162,531,425

Now, we try dividing 162,531,425 by 3:

162,531,425 ÷ 3 = 54,177,141.6667

If the quotient is a whole number, then 3 and 54,177,141.6667 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:

1 162,531,425
-1 -162,531,425

Let's try dividing by 4:

162,531,425 ÷ 4 = 40,632,856.25

If the quotient is a whole number, then 4 and 40,632,856.25 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:

1 162,531,425
-1 162,531,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535711031271753554975156357218891,7752,4852,5753,1753,6054,4457,3139,01712,42513,08118,02522,22536,56545,08551,19163,11965,40591,567182,825225,425255,955315,595327,025457,835928,7511,279,7751,577,9752,289,1754,643,7556,501,25723,218,77532,506,285162,531,425
-1-5-7-25-35-71-103-127-175-355-497-515-635-721-889-1,775-2,485-2,575-3,175-3,605-4,445-7,313-9,017-12,425-13,081-18,025-22,225-36,565-45,085-51,191-63,119-65,405-91,567-182,825-225,425-255,955-315,595-327,025-457,835-928,751-1,279,775-1,577,975-2,289,175-4,643,755-6,501,257-23,218,775-32,506,285-162,531,425

More Examples

Here are some more numbers to try:

162,531,423162,531,424162,531,426162,531,427
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