Q: What are the factor combinations of the number 53,200,123?

 A:
Positive:   1 x 5320012317 x 312941929 x 183448731 x 171613359 x 901697493 x 107911527 x 100949899 x 591771003 x 530411711 x 310931829 x 290873481 x 15283
Negative: -1 x -53200123-17 x -3129419-29 x -1834487-31 x -1716133-59 x -901697-493 x -107911-527 x -100949-899 x -59177-1003 x -53041-1711 x -31093-1829 x -29087-3481 x -15283


How do I find the factor combinations of the number 53,200,123?

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 53,200,123, 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 53,200,123
-1 -53,200,123

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 53,200,123.

Example:
1 x 53,200,123 = 53,200,123
and
-1 x -53,200,123 = 53,200,123
Notice both answers equal 53,200,123

With that explanation out of the way, let's continue. Next, we take the number 53,200,123 and divide it by 2:

53,200,123 ÷ 2 = 26,600,061.5

If the quotient is a whole number, then 2 and 26,600,061.5 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 53,200,123
-1 -53,200,123

Now, we try dividing 53,200,123 by 3:

53,200,123 ÷ 3 = 17,733,374.3333

If the quotient is a whole number, then 3 and 17,733,374.3333 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 53,200,123
-1 -53,200,123

Let's try dividing by 4:

53,200,123 ÷ 4 = 13,300,030.75

If the quotient is a whole number, then 4 and 13,300,030.75 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 53,200,123
-1 53,200,123
Keep dividing by the next highest number until you cannot divide anymore.

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

1172931594935278991,0031,7111,8293,48115,28329,08731,09353,04159,177100,949107,911901,6971,716,1331,834,4873,129,41953,200,123
-1-17-29-31-59-493-527-899-1,003-1,711-1,829-3,481-15,283-29,087-31,093-53,041-59,177-100,949-107,911-901,697-1,716,133-1,834,487-3,129,419-53,200,123

More Examples

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