Q: What are the factor combinations of the number 34,402,637?

 A:
Positive:   1 x 3440263737 x 92980147 x 73197173 x 471269271 x 1269471739 x 197832701 x 127373431 x 10027
Negative: -1 x -34402637-37 x -929801-47 x -731971-73 x -471269-271 x -126947-1739 x -19783-2701 x -12737-3431 x -10027


How do I find the factor combinations of the number 34,402,637?

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 34,402,637, 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 34,402,637
-1 -34,402,637

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 34,402,637.

Example:
1 x 34,402,637 = 34,402,637
and
-1 x -34,402,637 = 34,402,637
Notice both answers equal 34,402,637

With that explanation out of the way, let's continue. Next, we take the number 34,402,637 and divide it by 2:

34,402,637 ÷ 2 = 17,201,318.5

If the quotient is a whole number, then 2 and 17,201,318.5 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 34,402,637
-1 -34,402,637

Now, we try dividing 34,402,637 by 3:

34,402,637 ÷ 3 = 11,467,545.6667

If the quotient is a whole number, then 3 and 11,467,545.6667 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 34,402,637
-1 -34,402,637

Let's try dividing by 4:

34,402,637 ÷ 4 = 8,600,659.25

If the quotient is a whole number, then 4 and 8,600,659.25 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 34,402,637
-1 34,402,637
Keep dividing by the next highest number until you cannot divide anymore.

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

13747732711,7392,7013,43110,02712,73719,783126,947471,269731,971929,80134,402,637
-1-37-47-73-271-1,739-2,701-3,431-10,027-12,737-19,783-126,947-471,269-731,971-929,801-34,402,637

More Examples

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