Q: What are the factor combinations of the number 16,098,985?

 A:
Positive:   1 x 160989855 x 32197977 x 229985519 x 84731535 x 45997143 x 37439595 x 169463133 x 121045215 x 74879301 x 53485563 x 28595665 x 24209817 x 197051505 x 106972815 x 57193941 x 4085
Negative: -1 x -16098985-5 x -3219797-7 x -2299855-19 x -847315-35 x -459971-43 x -374395-95 x -169463-133 x -121045-215 x -74879-301 x -53485-563 x -28595-665 x -24209-817 x -19705-1505 x -10697-2815 x -5719-3941 x -4085


How do I find the factor combinations of the number 16,098,985?

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 16,098,985, 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 16,098,985
-1 -16,098,985

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 16,098,985.

Example:
1 x 16,098,985 = 16,098,985
and
-1 x -16,098,985 = 16,098,985
Notice both answers equal 16,098,985

With that explanation out of the way, let's continue. Next, we take the number 16,098,985 and divide it by 2:

16,098,985 ÷ 2 = 8,049,492.5

If the quotient is a whole number, then 2 and 8,049,492.5 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 16,098,985
-1 -16,098,985

Now, we try dividing 16,098,985 by 3:

16,098,985 ÷ 3 = 5,366,328.3333

If the quotient is a whole number, then 3 and 5,366,328.3333 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 16,098,985
-1 -16,098,985

Let's try dividing by 4:

16,098,985 ÷ 4 = 4,024,746.25

If the quotient is a whole number, then 4 and 4,024,746.25 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 16,098,985
-1 16,098,985
Keep dividing by the next highest number until you cannot divide anymore.

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

157193543951332153015636658171,5052,8153,9414,0855,71910,69719,70524,20928,59553,48574,879121,045169,463374,395459,971847,3152,299,8553,219,79716,098,985
-1-5-7-19-35-43-95-133-215-301-563-665-817-1,505-2,815-3,941-4,085-5,719-10,697-19,705-24,209-28,595-53,485-74,879-121,045-169,463-374,395-459,971-847,315-2,299,855-3,219,797-16,098,985

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