Q: What are the factor combinations of the number 246,543,145?

 A:
Positive:   1 x 2465431455 x 4930862919 x 1297595595 x 2595191137 x 1799585361 x 682945685 x 359917997 x 2472851805 x 1365892603 x 947154985 x 4945713015 x 18943
Negative: -1 x -246543145-5 x -49308629-19 x -12975955-95 x -2595191-137 x -1799585-361 x -682945-685 x -359917-997 x -247285-1805 x -136589-2603 x -94715-4985 x -49457-13015 x -18943


How do I find the factor combinations of the number 246,543,145?

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 246,543,145, 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.

1 246,543,145
-1 -246,543,145

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 246,543,145.

Example:
1 x 246,543,145 = 246,543,145
and
-1 x -246,543,145 = 246,543,145
Notice both answers equal 246,543,145

With that explanation out of the way, let's continue. Next, we take the number 246,543,145 and divide it by 2:

246,543,145 ÷ 2 = 123,271,572.5

If the quotient is a whole number, then 2 and 123,271,572.5 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:

1 246,543,145
-1 -246,543,145

Now, we try dividing 246,543,145 by 3:

246,543,145 ÷ 3 = 82,181,048.3333

If the quotient is a whole number, then 3 and 82,181,048.3333 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:

1 246,543,145
-1 -246,543,145

Let's try dividing by 4:

246,543,145 ÷ 4 = 61,635,786.25

If the quotient is a whole number, then 4 and 61,635,786.25 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:

1 246,543,145
-1 246,543,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951373616859971,8052,6034,98513,01518,94349,45794,715136,589247,285359,917682,9451,799,5852,595,19112,975,95549,308,629246,543,145
-1-5-19-95-137-361-685-997-1,805-2,603-4,985-13,015-18,943-49,457-94,715-136,589-247,285-359,917-682,945-1,799,585-2,595,191-12,975,955-49,308,629-246,543,145

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