Q: What are the factor combinations of the number 78,000,545?

 A:
Positive:   1 x 780005455 x 156001097 x 1114293535 x 2228587139 x 561155695 x 112231973 x 801654865 x 16033
Negative: -1 x -78000545-5 x -15600109-7 x -11142935-35 x -2228587-139 x -561155-695 x -112231-973 x -80165-4865 x -16033


How do I find the factor combinations of the number 78,000,545?

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 78,000,545, 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 78,000,545
-1 -78,000,545

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 78,000,545.

Example:
1 x 78,000,545 = 78,000,545
and
-1 x -78,000,545 = 78,000,545
Notice both answers equal 78,000,545

With that explanation out of the way, let's continue. Next, we take the number 78,000,545 and divide it by 2:

78,000,545 ÷ 2 = 39,000,272.5

If the quotient is a whole number, then 2 and 39,000,272.5 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 78,000,545
-1 -78,000,545

Now, we try dividing 78,000,545 by 3:

78,000,545 ÷ 3 = 26,000,181.6667

If the quotient is a whole number, then 3 and 26,000,181.6667 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 78,000,545
-1 -78,000,545

Let's try dividing by 4:

78,000,545 ÷ 4 = 19,500,136.25

If the quotient is a whole number, then 4 and 19,500,136.25 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 78,000,545
-1 78,000,545
Keep dividing by the next highest number until you cannot divide anymore.

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

157351396959734,86516,03380,165112,231561,1552,228,58711,142,93515,600,10978,000,545
-1-5-7-35-139-695-973-4,865-16,033-80,165-112,231-561,155-2,228,587-11,142,935-15,600,109-78,000,545

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