Q: What are the factor combinations of the number 361,562,545?

 A:
Positive:   1 x 3615625455 x 7231250917 x 2126838585 x 4253677727 x 4973353635 x 994675851 x 6179512359 x 29255
Negative: -1 x -361562545-5 x -72312509-17 x -21268385-85 x -4253677-727 x -497335-3635 x -99467-5851 x -61795-12359 x -29255


How do I find the factor combinations of the number 361,562,545?

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 361,562,545, 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.

1 361,562,545
-1 -361,562,545

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 361,562,545.

Example:
1 x 361,562,545 = 361,562,545
and
-1 x -361,562,545 = 361,562,545
Notice both answers equal 361,562,545

With that explanation out of the way, let's continue. Next, we take the number 361,562,545 and divide it by 2:

361,562,545 ÷ 2 = 180,781,272.5

If the quotient is a whole number, then 2 and 180,781,272.5 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:

1 361,562,545
-1 -361,562,545

Now, we try dividing 361,562,545 by 3:

361,562,545 ÷ 3 = 120,520,848.3333

If the quotient is a whole number, then 3 and 120,520,848.3333 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:

1 361,562,545
-1 -361,562,545

Let's try dividing by 4:

361,562,545 ÷ 4 = 90,390,636.25

If the quotient is a whole number, then 4 and 90,390,636.25 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:

1 361,562,545
-1 361,562,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1517857273,6355,85112,35929,25561,79599,467497,3354,253,67721,268,38572,312,509361,562,545
-1-5-17-85-727-3,635-5,851-12,359-29,255-61,795-99,467-497,335-4,253,677-21,268,385-72,312,509-361,562,545

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