Q: What are the factor combinations of the number 69,489,445?

 A:
Positive:   1 x 694894455 x 1389788931 x 2241595151 x 460195155 x 448319755 x 920392969 x 234054681 x 14845
Negative: -1 x -69489445-5 x -13897889-31 x -2241595-151 x -460195-155 x -448319-755 x -92039-2969 x -23405-4681 x -14845


How do I find the factor combinations of the number 69,489,445?

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 69,489,445, 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 69,489,445
-1 -69,489,445

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 69,489,445.

Example:
1 x 69,489,445 = 69,489,445
and
-1 x -69,489,445 = 69,489,445
Notice both answers equal 69,489,445

With that explanation out of the way, let's continue. Next, we take the number 69,489,445 and divide it by 2:

69,489,445 ÷ 2 = 34,744,722.5

If the quotient is a whole number, then 2 and 34,744,722.5 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 69,489,445
-1 -69,489,445

Now, we try dividing 69,489,445 by 3:

69,489,445 ÷ 3 = 23,163,148.3333

If the quotient is a whole number, then 3 and 23,163,148.3333 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 69,489,445
-1 -69,489,445

Let's try dividing by 4:

69,489,445 ÷ 4 = 17,372,361.25

If the quotient is a whole number, then 4 and 17,372,361.25 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 69,489,445
-1 69,489,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15311511557552,9694,68114,84523,40592,039448,319460,1952,241,59513,897,88969,489,445
-1-5-31-151-155-755-2,969-4,681-14,845-23,405-92,039-448,319-460,195-2,241,595-13,897,889-69,489,445

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