Q: What are the factor combinations of the number 424,045,435?

 A:
Positive:   1 x 4240454355 x 8480908711 x 3854958531 x 1367888555 x 7709917155 x 2735777341 x 12435351705 x 248707
Negative: -1 x -424045435-5 x -84809087-11 x -38549585-31 x -13678885-55 x -7709917-155 x -2735777-341 x -1243535-1705 x -248707


How do I find the factor combinations of the number 424,045,435?

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 424,045,435, 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.

1 424,045,435
-1 -424,045,435

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 424,045,435.

Example:
1 x 424,045,435 = 424,045,435
and
-1 x -424,045,435 = 424,045,435
Notice both answers equal 424,045,435

With that explanation out of the way, let's continue. Next, we take the number 424,045,435 and divide it by 2:

424,045,435 ÷ 2 = 212,022,717.5

If the quotient is a whole number, then 2 and 212,022,717.5 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:

1 424,045,435
-1 -424,045,435

Now, we try dividing 424,045,435 by 3:

424,045,435 ÷ 3 = 141,348,478.3333

If the quotient is a whole number, then 3 and 141,348,478.3333 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:

1 424,045,435
-1 -424,045,435

Let's try dividing by 4:

424,045,435 ÷ 4 = 106,011,358.75

If the quotient is a whole number, then 4 and 106,011,358.75 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:

1 424,045,435
-1 424,045,435
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,705248,7071,243,5352,735,7777,709,91713,678,88538,549,58584,809,087424,045,435
-1-5-11-31-55-155-341-1,705-248,707-1,243,535-2,735,777-7,709,917-13,678,885-38,549,585-84,809,087-424,045,435

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