Q: What are the factor combinations of the number 255,500,152?

 A:
Positive:   1 x 2555001522 x 1277500764 x 638750388 x 3193751943 x 594186486 x 2970932103 x 2480584172 x 1485466206 x 1240292344 x 742733412 x 620146824 x 3100734429 x 576887211 x 354328858 x 2884414422 x 17716
Negative: -1 x -255500152-2 x -127750076-4 x -63875038-8 x -31937519-43 x -5941864-86 x -2970932-103 x -2480584-172 x -1485466-206 x -1240292-344 x -742733-412 x -620146-824 x -310073-4429 x -57688-7211 x -35432-8858 x -28844-14422 x -17716


How do I find the factor combinations of the number 255,500,152?

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 255,500,152, 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.

1 255,500,152
-1 -255,500,152

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 255,500,152.

Example:
1 x 255,500,152 = 255,500,152
and
-1 x -255,500,152 = 255,500,152
Notice both answers equal 255,500,152

With that explanation out of the way, let's continue. Next, we take the number 255,500,152 and divide it by 2:

255,500,152 ÷ 2 = 127,750,076

If the quotient is a whole number, then 2 and 127,750,076 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 127,750,076 255,500,152
-1 -2 -127,750,076 -255,500,152

Now, we try dividing 255,500,152 by 3:

255,500,152 ÷ 3 = 85,166,717.3333

If the quotient is a whole number, then 3 and 85,166,717.3333 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 2 127,750,076 255,500,152
-1 -2 -127,750,076 -255,500,152

Let's try dividing by 4:

255,500,152 ÷ 4 = 63,875,038

If the quotient is a whole number, then 4 and 63,875,038 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 4 63,875,038 127,750,076 255,500,152
-1 -2 -4 -63,875,038 -127,750,076 255,500,152
Keep dividing by the next highest number until you cannot divide anymore.

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

124843861031722063444128244,4297,2118,85814,42217,71628,84435,43257,688310,073620,146742,7331,240,2921,485,4662,480,5842,970,9325,941,86431,937,51963,875,038127,750,076255,500,152
-1-2-4-8-43-86-103-172-206-344-412-824-4,429-7,211-8,858-14,422-17,716-28,844-35,432-57,688-310,073-620,146-742,733-1,240,292-1,485,466-2,480,584-2,970,932-5,941,864-31,937,519-63,875,038-127,750,076-255,500,152

More Examples

Here are some more numbers to try:

255,500,150255,500,151255,500,153255,500,154
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