Q: What are the factor combinations of the number 442,303,435?

 A:
Positive:   1 x 4423034355 x 884606877 x 6318620535 x 126372413527 x 1254053583 x 12344517635 x 2508117915 x 24689
Negative: -1 x -442303435-5 x -88460687-7 x -63186205-35 x -12637241-3527 x -125405-3583 x -123445-17635 x -25081-17915 x -24689


How do I find the factor combinations of the number 442,303,435?

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 442,303,435, 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.

1 442,303,435
-1 -442,303,435

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 442,303,435.

Example:
1 x 442,303,435 = 442,303,435
and
-1 x -442,303,435 = 442,303,435
Notice both answers equal 442,303,435

With that explanation out of the way, let's continue. Next, we take the number 442,303,435 and divide it by 2:

442,303,435 ÷ 2 = 221,151,717.5

If the quotient is a whole number, then 2 and 221,151,717.5 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:

1 442,303,435
-1 -442,303,435

Now, we try dividing 442,303,435 by 3:

442,303,435 ÷ 3 = 147,434,478.3333

If the quotient is a whole number, then 3 and 147,434,478.3333 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:

1 442,303,435
-1 -442,303,435

Let's try dividing by 4:

442,303,435 ÷ 4 = 110,575,858.75

If the quotient is a whole number, then 4 and 110,575,858.75 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:

1 442,303,435
-1 442,303,435
Keep dividing by the next highest number until you cannot divide anymore.

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

157353,5273,58317,63517,91524,68925,081123,445125,40512,637,24163,186,20588,460,687442,303,435
-1-5-7-35-3,527-3,583-17,635-17,915-24,689-25,081-123,445-125,405-12,637,241-63,186,205-88,460,687-442,303,435

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