Q: What are the factor combinations of the number 3,542,357?

 A:
Positive:   1 x 35423577 x 50605113 x 27248949 x 7229367 x 5287183 x 4267991 x 38927469 x 7553581 x 6097637 x 5561871 x 40671079 x 3283
Negative: -1 x -3542357-7 x -506051-13 x -272489-49 x -72293-67 x -52871-83 x -42679-91 x -38927-469 x -7553-581 x -6097-637 x -5561-871 x -4067-1079 x -3283


How do I find the factor combinations of the number 3,542,357?

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 3,542,357, 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 3,542,357
-1 -3,542,357

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 3,542,357.

Example:
1 x 3,542,357 = 3,542,357
and
-1 x -3,542,357 = 3,542,357
Notice both answers equal 3,542,357

With that explanation out of the way, let's continue. Next, we take the number 3,542,357 and divide it by 2:

3,542,357 ÷ 2 = 1,771,178.5

If the quotient is a whole number, then 2 and 1,771,178.5 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 3,542,357
-1 -3,542,357

Now, we try dividing 3,542,357 by 3:

3,542,357 ÷ 3 = 1,180,785.6667

If the quotient is a whole number, then 3 and 1,180,785.6667 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 3,542,357
-1 -3,542,357

Let's try dividing by 4:

3,542,357 ÷ 4 = 885,589.25

If the quotient is a whole number, then 4 and 885,589.25 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 3,542,357
-1 3,542,357
Keep dividing by the next highest number until you cannot divide anymore.

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

1713496783914695816378711,0793,2834,0675,5616,0977,55338,92742,67952,87172,293272,489506,0513,542,357
-1-7-13-49-67-83-91-469-581-637-871-1,079-3,283-4,067-5,561-6,097-7,553-38,927-42,679-52,871-72,293-272,489-506,051-3,542,357

More Examples

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