Q: What are the factor combinations of the number 362,491,525?

 A:
Positive:   1 x 3624915255 x 7249830511 x 3295377525 x 1449966131 x 1169327555 x 6590755101 x 3589025155 x 2338655275 x 1318151341 x 1063025421 x 861025505 x 717805775 x 4677311111 x 3262751705 x 2126052105 x 1722052525 x 1435613131 x 1157754631 x 782755555 x 652558525 x 4252110525 x 3444113051 x 2777515655 x 23155
Negative: -1 x -362491525-5 x -72498305-11 x -32953775-25 x -14499661-31 x -11693275-55 x -6590755-101 x -3589025-155 x -2338655-275 x -1318151-341 x -1063025-421 x -861025-505 x -717805-775 x -467731-1111 x -326275-1705 x -212605-2105 x -172205-2525 x -143561-3131 x -115775-4631 x -78275-5555 x -65255-8525 x -42521-10525 x -34441-13051 x -27775-15655 x -23155


How do I find the factor combinations of the number 362,491,525?

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 362,491,525, 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.

1 362,491,525
-1 -362,491,525

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 362,491,525.

Example:
1 x 362,491,525 = 362,491,525
and
-1 x -362,491,525 = 362,491,525
Notice both answers equal 362,491,525

With that explanation out of the way, let's continue. Next, we take the number 362,491,525 and divide it by 2:

362,491,525 ÷ 2 = 181,245,762.5

If the quotient is a whole number, then 2 and 181,245,762.5 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:

1 362,491,525
-1 -362,491,525

Now, we try dividing 362,491,525 by 3:

362,491,525 ÷ 3 = 120,830,508.3333

If the quotient is a whole number, then 3 and 120,830,508.3333 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:

1 362,491,525
-1 -362,491,525

Let's try dividing by 4:

362,491,525 ÷ 4 = 90,622,881.25

If the quotient is a whole number, then 4 and 90,622,881.25 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:

1 362,491,525
-1 362,491,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15112531551011552753414215057751,1111,7052,1052,5253,1314,6315,5558,52510,52513,05115,65523,15527,77534,44142,52165,25578,275115,775143,561172,205212,605326,275467,731717,805861,0251,063,0251,318,1512,338,6553,589,0256,590,75511,693,27514,499,66132,953,77572,498,305362,491,525
-1-5-11-25-31-55-101-155-275-341-421-505-775-1,111-1,705-2,105-2,525-3,131-4,631-5,555-8,525-10,525-13,051-15,655-23,155-27,775-34,441-42,521-65,255-78,275-115,775-143,561-172,205-212,605-326,275-467,731-717,805-861,025-1,063,025-1,318,151-2,338,655-3,589,025-6,590,755-11,693,275-14,499,661-32,953,775-72,498,305-362,491,525

More Examples

Here are some more numbers to try:

362,491,523362,491,524362,491,526362,491,527
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