Q: What are the factor combinations of the number 240,506,105?

 A:
Positive:   1 x 2405061055 x 481012217 x 3435801535 x 687160337 x 6500165185 x 1300033229 x 1050245259 x 928595811 x 2965551145 x 2100491295 x 1857191603 x 1500354055 x 593115677 x 423658015 x 300078473 x 28385
Negative: -1 x -240506105-5 x -48101221-7 x -34358015-35 x -6871603-37 x -6500165-185 x -1300033-229 x -1050245-259 x -928595-811 x -296555-1145 x -210049-1295 x -185719-1603 x -150035-4055 x -59311-5677 x -42365-8015 x -30007-8473 x -28385


How do I find the factor combinations of the number 240,506,105?

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 240,506,105, 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.

1 240,506,105
-1 -240,506,105

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 240,506,105.

Example:
1 x 240,506,105 = 240,506,105
and
-1 x -240,506,105 = 240,506,105
Notice both answers equal 240,506,105

With that explanation out of the way, let's continue. Next, we take the number 240,506,105 and divide it by 2:

240,506,105 ÷ 2 = 120,253,052.5

If the quotient is a whole number, then 2 and 120,253,052.5 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:

1 240,506,105
-1 -240,506,105

Now, we try dividing 240,506,105 by 3:

240,506,105 ÷ 3 = 80,168,701.6667

If the quotient is a whole number, then 3 and 80,168,701.6667 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:

1 240,506,105
-1 -240,506,105

Let's try dividing by 4:

240,506,105 ÷ 4 = 60,126,526.25

If the quotient is a whole number, then 4 and 60,126,526.25 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:

1 240,506,105
-1 240,506,105
Keep dividing by the next highest number until you cannot divide anymore.

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

15735371852292598111,1451,2951,6034,0555,6778,0158,47328,38530,00742,36559,311150,035185,719210,049296,555928,5951,050,2451,300,0336,500,1656,871,60334,358,01548,101,221240,506,105
-1-5-7-35-37-185-229-259-811-1,145-1,295-1,603-4,055-5,677-8,015-8,473-28,385-30,007-42,365-59,311-150,035-185,719-210,049-296,555-928,595-1,050,245-1,300,033-6,500,165-6,871,603-34,358,015-48,101,221-240,506,105

More Examples

Here are some more numbers to try:

240,506,103240,506,104240,506,106240,506,107
Try the factor calculator

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