Q: What are the factor combinations of the number 10,042,207?

 A:
Positive:   1 x 100422077 x 143460129 x 34628337 x 27141149 x 204943191 x 52577203 x 49469259 x 387731073 x 93591337 x 75111421 x 70671813 x 5539
Negative: -1 x -10042207-7 x -1434601-29 x -346283-37 x -271411-49 x -204943-191 x -52577-203 x -49469-259 x -38773-1073 x -9359-1337 x -7511-1421 x -7067-1813 x -5539


How do I find the factor combinations of the number 10,042,207?

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 10,042,207, 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 10,042,207
-1 -10,042,207

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 10,042,207.

Example:
1 x 10,042,207 = 10,042,207
and
-1 x -10,042,207 = 10,042,207
Notice both answers equal 10,042,207

With that explanation out of the way, let's continue. Next, we take the number 10,042,207 and divide it by 2:

10,042,207 ÷ 2 = 5,021,103.5

If the quotient is a whole number, then 2 and 5,021,103.5 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 10,042,207
-1 -10,042,207

Now, we try dividing 10,042,207 by 3:

10,042,207 ÷ 3 = 3,347,402.3333

If the quotient is a whole number, then 3 and 3,347,402.3333 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 10,042,207
-1 -10,042,207

Let's try dividing by 4:

10,042,207 ÷ 4 = 2,510,551.75

If the quotient is a whole number, then 4 and 2,510,551.75 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 10,042,207
-1 10,042,207
Keep dividing by the next highest number until you cannot divide anymore.

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

172937491912032591,0731,3371,4211,8135,5397,0677,5119,35938,77349,46952,577204,943271,411346,2831,434,60110,042,207
-1-7-29-37-49-191-203-259-1,073-1,337-1,421-1,813-5,539-7,067-7,511-9,359-38,773-49,469-52,577-204,943-271,411-346,283-1,434,601-10,042,207

More Examples

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