Q: What are the factor combinations of the number 4,370,735?

 A:
Positive:   1 x 43707355 x 87414729 x 15071543 x 101645145 x 30143215 x 20329701 x 62351247 x 3505
Negative: -1 x -4370735-5 x -874147-29 x -150715-43 x -101645-145 x -30143-215 x -20329-701 x -6235-1247 x -3505


How do I find the factor combinations of the number 4,370,735?

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 4,370,735, 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 4,370,735
-1 -4,370,735

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 4,370,735.

Example:
1 x 4,370,735 = 4,370,735
and
-1 x -4,370,735 = 4,370,735
Notice both answers equal 4,370,735

With that explanation out of the way, let's continue. Next, we take the number 4,370,735 and divide it by 2:

4,370,735 ÷ 2 = 2,185,367.5

If the quotient is a whole number, then 2 and 2,185,367.5 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 4,370,735
-1 -4,370,735

Now, we try dividing 4,370,735 by 3:

4,370,735 ÷ 3 = 1,456,911.6667

If the quotient is a whole number, then 3 and 1,456,911.6667 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 4,370,735
-1 -4,370,735

Let's try dividing by 4:

4,370,735 ÷ 4 = 1,092,683.75

If the quotient is a whole number, then 4 and 1,092,683.75 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 4,370,735
-1 4,370,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1529431452157011,2473,5056,23520,32930,143101,645150,715874,1474,370,735
-1-5-29-43-145-215-701-1,247-3,505-6,235-20,329-30,143-101,645-150,715-874,147-4,370,735

More Examples

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