Q: What are the factor combinations of the number 424,232,545?

 A:
Positive:   1 x 4242325455 x 8484650911 x 3856659555 x 77133191321 x 3211455839 x 726556605 x 6422914531 x 29195
Negative: -1 x -424232545-5 x -84846509-11 x -38566595-55 x -7713319-1321 x -321145-5839 x -72655-6605 x -64229-14531 x -29195


How do I find the factor combinations of the number 424,232,545?

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 424,232,545, 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.

1 424,232,545
-1 -424,232,545

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 424,232,545.

Example:
1 x 424,232,545 = 424,232,545
and
-1 x -424,232,545 = 424,232,545
Notice both answers equal 424,232,545

With that explanation out of the way, let's continue. Next, we take the number 424,232,545 and divide it by 2:

424,232,545 ÷ 2 = 212,116,272.5

If the quotient is a whole number, then 2 and 212,116,272.5 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:

1 424,232,545
-1 -424,232,545

Now, we try dividing 424,232,545 by 3:

424,232,545 ÷ 3 = 141,410,848.3333

If the quotient is a whole number, then 3 and 141,410,848.3333 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:

1 424,232,545
-1 -424,232,545

Let's try dividing by 4:

424,232,545 ÷ 4 = 106,058,136.25

If the quotient is a whole number, then 4 and 106,058,136.25 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:

1 424,232,545
-1 424,232,545
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,3215,8396,60514,53129,19564,22972,655321,1457,713,31938,566,59584,846,509424,232,545
-1-5-11-55-1,321-5,839-6,605-14,531-29,195-64,229-72,655-321,145-7,713,319-38,566,595-84,846,509-424,232,545

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