Q: What are the factor combinations of the number 240,420,103?

 A:
Positive:   1 x 2404201037 x 3434572911 x 2185637317 x 1414235959 x 407491777 x 3122339119 x 2020337121 x 1986943187 x 1285669283 x 849541413 x 582131649 x 370447847 x 2838491003 x 2397011309 x 1836671981 x 1213632057 x 1168793113 x 772314543 x 529214811 x 499737021 x 342437139 x 3367711033 x 2179114399 x 16697
Negative: -1 x -240420103-7 x -34345729-11 x -21856373-17 x -14142359-59 x -4074917-77 x -3122339-119 x -2020337-121 x -1986943-187 x -1285669-283 x -849541-413 x -582131-649 x -370447-847 x -283849-1003 x -239701-1309 x -183667-1981 x -121363-2057 x -116879-3113 x -77231-4543 x -52921-4811 x -49973-7021 x -34243-7139 x -33677-11033 x -21791-14399 x -16697


How do I find the factor combinations of the number 240,420,103?

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 240,420,103, 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.

1 240,420,103
-1 -240,420,103

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 240,420,103.

Example:
1 x 240,420,103 = 240,420,103
and
-1 x -240,420,103 = 240,420,103
Notice both answers equal 240,420,103

With that explanation out of the way, let's continue. Next, we take the number 240,420,103 and divide it by 2:

240,420,103 ÷ 2 = 120,210,051.5

If the quotient is a whole number, then 2 and 120,210,051.5 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:

1 240,420,103
-1 -240,420,103

Now, we try dividing 240,420,103 by 3:

240,420,103 ÷ 3 = 80,140,034.3333

If the quotient is a whole number, then 3 and 80,140,034.3333 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:

1 240,420,103
-1 -240,420,103

Let's try dividing by 4:

240,420,103 ÷ 4 = 60,105,025.75

If the quotient is a whole number, then 4 and 60,105,025.75 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:

1 240,420,103
-1 240,420,103
Keep dividing by the next highest number until you cannot divide anymore.

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

17111759771191211872834136498471,0031,3091,9812,0573,1134,5434,8117,0217,13911,03314,39916,69721,79133,67734,24349,97352,92177,231116,879121,363183,667239,701283,849370,447582,131849,5411,285,6691,986,9432,020,3373,122,3394,074,91714,142,35921,856,37334,345,729240,420,103
-1-7-11-17-59-77-119-121-187-283-413-649-847-1,003-1,309-1,981-2,057-3,113-4,543-4,811-7,021-7,139-11,033-14,399-16,697-21,791-33,677-34,243-49,973-52,921-77,231-116,879-121,363-183,667-239,701-283,849-370,447-582,131-849,541-1,285,669-1,986,943-2,020,337-3,122,339-4,074,917-14,142,359-21,856,373-34,345,729-240,420,103

More Examples

Here are some more numbers to try:

240,420,101240,420,102240,420,104240,420,105
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