Q: What are the factor combinations of the number 42,350,525?

 A:
Positive:   1 x 423505255 x 84701057 x 605007519 x 222897525 x 169402135 x 121001547 x 90107595 x 445795133 x 318425175 x 242003235 x 180215271 x 156275329 x 128725475 x 89159665 x 63685893 x 474251175 x 360431355 x 312551645 x 257451897 x 223253325 x 127374465 x 94855149 x 82256251 x 6775
Negative: -1 x -42350525-5 x -8470105-7 x -6050075-19 x -2228975-25 x -1694021-35 x -1210015-47 x -901075-95 x -445795-133 x -318425-175 x -242003-235 x -180215-271 x -156275-329 x -128725-475 x -89159-665 x -63685-893 x -47425-1175 x -36043-1355 x -31255-1645 x -25745-1897 x -22325-3325 x -12737-4465 x -9485-5149 x -8225-6251 x -6775


How do I find the factor combinations of the number 42,350,525?

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 42,350,525, 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 42,350,525
-1 -42,350,525

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 42,350,525.

Example:
1 x 42,350,525 = 42,350,525
and
-1 x -42,350,525 = 42,350,525
Notice both answers equal 42,350,525

With that explanation out of the way, let's continue. Next, we take the number 42,350,525 and divide it by 2:

42,350,525 ÷ 2 = 21,175,262.5

If the quotient is a whole number, then 2 and 21,175,262.5 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 42,350,525
-1 -42,350,525

Now, we try dividing 42,350,525 by 3:

42,350,525 ÷ 3 = 14,116,841.6667

If the quotient is a whole number, then 3 and 14,116,841.6667 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 42,350,525
-1 -42,350,525

Let's try dividing by 4:

42,350,525 ÷ 4 = 10,587,631.25

If the quotient is a whole number, then 4 and 10,587,631.25 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 42,350,525
-1 42,350,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15719253547951331752352713294756658931,1751,3551,6451,8973,3254,4655,1496,2516,7758,2259,48512,73722,32525,74531,25536,04347,42563,68589,159128,725156,275180,215242,003318,425445,795901,0751,210,0151,694,0212,228,9756,050,0758,470,10542,350,525
-1-5-7-19-25-35-47-95-133-175-235-271-329-475-665-893-1,175-1,355-1,645-1,897-3,325-4,465-5,149-6,251-6,775-8,225-9,485-12,737-22,325-25,745-31,255-36,043-47,425-63,685-89,159-128,725-156,275-180,215-242,003-318,425-445,795-901,075-1,210,015-1,694,021-2,228,975-6,050,075-8,470,105-42,350,525

More Examples

Here are some more numbers to try:

42,350,52342,350,52442,350,52642,350,527
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