Q: What are the factor combinations of the number 235,242,325?

 A:
Positive:   1 x 2352423255 x 4704846519 x 1238117525 x 940969395 x 2476235449 x 523925475 x 4952471103 x 2132752245 x 1047855515 x 426558531 x 2757511225 x 20957
Negative: -1 x -235242325-5 x -47048465-19 x -12381175-25 x -9409693-95 x -2476235-449 x -523925-475 x -495247-1103 x -213275-2245 x -104785-5515 x -42655-8531 x -27575-11225 x -20957


How do I find the factor combinations of the number 235,242,325?

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 235,242,325, 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.

1 235,242,325
-1 -235,242,325

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 235,242,325.

Example:
1 x 235,242,325 = 235,242,325
and
-1 x -235,242,325 = 235,242,325
Notice both answers equal 235,242,325

With that explanation out of the way, let's continue. Next, we take the number 235,242,325 and divide it by 2:

235,242,325 ÷ 2 = 117,621,162.5

If the quotient is a whole number, then 2 and 117,621,162.5 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:

1 235,242,325
-1 -235,242,325

Now, we try dividing 235,242,325 by 3:

235,242,325 ÷ 3 = 78,414,108.3333

If the quotient is a whole number, then 3 and 78,414,108.3333 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:

1 235,242,325
-1 -235,242,325

Let's try dividing by 4:

235,242,325 ÷ 4 = 58,810,581.25

If the quotient is a whole number, then 4 and 58,810,581.25 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:

1 235,242,325
-1 235,242,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151925954494751,1032,2455,5158,53111,22520,95727,57542,655104,785213,275495,247523,9252,476,2359,409,69312,381,17547,048,465235,242,325
-1-5-19-25-95-449-475-1,103-2,245-5,515-8,531-11,225-20,957-27,575-42,655-104,785-213,275-495,247-523,925-2,476,235-9,409,693-12,381,175-47,048,465-235,242,325

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