Q: What are the factor combinations of the number 123,513,445?

 A:
Positive:   1 x 1235134455 x 2470268911 x 1122849555 x 224569973 x 1691965365 x 338393803 x 1538154015 x 30763
Negative: -1 x -123513445-5 x -24702689-11 x -11228495-55 x -2245699-73 x -1691965-365 x -338393-803 x -153815-4015 x -30763


How do I find the factor combinations of the number 123,513,445?

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 123,513,445, 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.

1 123,513,445
-1 -123,513,445

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 123,513,445.

Example:
1 x 123,513,445 = 123,513,445
and
-1 x -123,513,445 = 123,513,445
Notice both answers equal 123,513,445

With that explanation out of the way, let's continue. Next, we take the number 123,513,445 and divide it by 2:

123,513,445 ÷ 2 = 61,756,722.5

If the quotient is a whole number, then 2 and 61,756,722.5 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:

1 123,513,445
-1 -123,513,445

Now, we try dividing 123,513,445 by 3:

123,513,445 ÷ 3 = 41,171,148.3333

If the quotient is a whole number, then 3 and 41,171,148.3333 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:

1 123,513,445
-1 -123,513,445

Let's try dividing by 4:

123,513,445 ÷ 4 = 30,878,361.25

If the quotient is a whole number, then 4 and 30,878,361.25 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:

1 123,513,445
-1 123,513,445
Keep dividing by the next highest number until you cannot divide anymore.

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

151155733658034,01530,763153,815338,3931,691,9652,245,69911,228,49524,702,689123,513,445
-1-5-11-55-73-365-803-4,015-30,763-153,815-338,393-1,691,965-2,245,699-11,228,495-24,702,689-123,513,445

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