Q: What are the factor combinations of the number 35,422,387?

 A:
Positive:   1 x 354223877 x 506034111 x 322021713 x 272479977 x 46003191 x 389257121 x 292747143 x 247709847 x 418211001 x 353871573 x 225193217 x 11011
Negative: -1 x -35422387-7 x -5060341-11 x -3220217-13 x -2724799-77 x -460031-91 x -389257-121 x -292747-143 x -247709-847 x -41821-1001 x -35387-1573 x -22519-3217 x -11011


How do I find the factor combinations of the number 35,422,387?

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 35,422,387, 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 35,422,387
-1 -35,422,387

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 35,422,387.

Example:
1 x 35,422,387 = 35,422,387
and
-1 x -35,422,387 = 35,422,387
Notice both answers equal 35,422,387

With that explanation out of the way, let's continue. Next, we take the number 35,422,387 and divide it by 2:

35,422,387 ÷ 2 = 17,711,193.5

If the quotient is a whole number, then 2 and 17,711,193.5 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 35,422,387
-1 -35,422,387

Now, we try dividing 35,422,387 by 3:

35,422,387 ÷ 3 = 11,807,462.3333

If the quotient is a whole number, then 3 and 11,807,462.3333 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 35,422,387
-1 -35,422,387

Let's try dividing by 4:

35,422,387 ÷ 4 = 8,855,596.75

If the quotient is a whole number, then 4 and 8,855,596.75 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 35,422,387
-1 35,422,387
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911211438471,0011,5733,21711,01122,51935,38741,821247,709292,747389,257460,0312,724,7993,220,2175,060,34135,422,387
-1-7-11-13-77-91-121-143-847-1,001-1,573-3,217-11,011-22,519-35,387-41,821-247,709-292,747-389,257-460,031-2,724,799-3,220,217-5,060,341-35,422,387

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