Q: What are the factor combinations of the number 123,401,525?

 A:
Positive:   1 x 1234015255 x 2468030513 x 949242525 x 493606129 x 425522565 x 1898485145 x 851045325 x 379697377 x 327325725 x 1702091885 x 654659425 x 13093
Negative: -1 x -123401525-5 x -24680305-13 x -9492425-25 x -4936061-29 x -4255225-65 x -1898485-145 x -851045-325 x -379697-377 x -327325-725 x -170209-1885 x -65465-9425 x -13093


How do I find the factor combinations of the number 123,401,525?

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 123,401,525, 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.

1 123,401,525
-1 -123,401,525

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 123,401,525.

Example:
1 x 123,401,525 = 123,401,525
and
-1 x -123,401,525 = 123,401,525
Notice both answers equal 123,401,525

With that explanation out of the way, let's continue. Next, we take the number 123,401,525 and divide it by 2:

123,401,525 ÷ 2 = 61,700,762.5

If the quotient is a whole number, then 2 and 61,700,762.5 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:

1 123,401,525
-1 -123,401,525

Now, we try dividing 123,401,525 by 3:

123,401,525 ÷ 3 = 41,133,841.6667

If the quotient is a whole number, then 3 and 41,133,841.6667 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:

1 123,401,525
-1 -123,401,525

Let's try dividing by 4:

123,401,525 ÷ 4 = 30,850,381.25

If the quotient is a whole number, then 4 and 30,850,381.25 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:

1 123,401,525
-1 123,401,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15132529651453253777251,8859,42513,09365,465170,209327,325379,697851,0451,898,4854,255,2254,936,0619,492,42524,680,305123,401,525
-1-5-13-25-29-65-145-325-377-725-1,885-9,425-13,093-65,465-170,209-327,325-379,697-851,045-1,898,485-4,255,225-4,936,061-9,492,425-24,680,305-123,401,525

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