Q: What are the factor combinations of the number 113,423,425?

 A:
Positive:   1 x 1134234255 x 2268468525 x 453693741 x 2766425205 x 553285239 x 474575463 x 2449751025 x 1106571195 x 949152315 x 489955975 x 189839799 x 11575
Negative: -1 x -113423425-5 x -22684685-25 x -4536937-41 x -2766425-205 x -553285-239 x -474575-463 x -244975-1025 x -110657-1195 x -94915-2315 x -48995-5975 x -18983-9799 x -11575


How do I find the factor combinations of the number 113,423,425?

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 113,423,425, 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.

1 113,423,425
-1 -113,423,425

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 113,423,425.

Example:
1 x 113,423,425 = 113,423,425
and
-1 x -113,423,425 = 113,423,425
Notice both answers equal 113,423,425

With that explanation out of the way, let's continue. Next, we take the number 113,423,425 and divide it by 2:

113,423,425 ÷ 2 = 56,711,712.5

If the quotient is a whole number, then 2 and 56,711,712.5 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:

1 113,423,425
-1 -113,423,425

Now, we try dividing 113,423,425 by 3:

113,423,425 ÷ 3 = 37,807,808.3333

If the quotient is a whole number, then 3 and 37,807,808.3333 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:

1 113,423,425
-1 -113,423,425

Let's try dividing by 4:

113,423,425 ÷ 4 = 28,355,856.25

If the quotient is a whole number, then 4 and 28,355,856.25 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:

1 113,423,425
-1 113,423,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525412052394631,0251,1952,3155,9759,79911,57518,98348,99594,915110,657244,975474,575553,2852,766,4254,536,93722,684,685113,423,425
-1-5-25-41-205-239-463-1,025-1,195-2,315-5,975-9,799-11,575-18,983-48,995-94,915-110,657-244,975-474,575-553,285-2,766,425-4,536,937-22,684,685-113,423,425

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