Q: What are the factor combinations of the number 245,143,405?

 A:
Positive:   1 x 2451434055 x 4902868113 x 1885718565 x 377143783 x 2953535415 x 5907071079 x 2271955395 x 45439
Negative: -1 x -245143405-5 x -49028681-13 x -18857185-65 x -3771437-83 x -2953535-415 x -590707-1079 x -227195-5395 x -45439


How do I find the factor combinations of the number 245,143,405?

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 245,143,405, 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.

1 245,143,405
-1 -245,143,405

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 245,143,405.

Example:
1 x 245,143,405 = 245,143,405
and
-1 x -245,143,405 = 245,143,405
Notice both answers equal 245,143,405

With that explanation out of the way, let's continue. Next, we take the number 245,143,405 and divide it by 2:

245,143,405 ÷ 2 = 122,571,702.5

If the quotient is a whole number, then 2 and 122,571,702.5 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:

1 245,143,405
-1 -245,143,405

Now, we try dividing 245,143,405 by 3:

245,143,405 ÷ 3 = 81,714,468.3333

If the quotient is a whole number, then 3 and 81,714,468.3333 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:

1 245,143,405
-1 -245,143,405

Let's try dividing by 4:

245,143,405 ÷ 4 = 61,285,851.25

If the quotient is a whole number, then 4 and 61,285,851.25 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:

1 245,143,405
-1 245,143,405
Keep dividing by the next highest number until you cannot divide anymore.

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

151365834151,0795,39545,439227,195590,7072,953,5353,771,43718,857,18549,028,681245,143,405
-1-5-13-65-83-415-1,079-5,395-45,439-227,195-590,707-2,953,535-3,771,437-18,857,185-49,028,681-245,143,405

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