Q: What are the factor combinations of the number 153,425,341?

 A:
Positive:   1 x 15342534123 x 667066729 x 529052973 x 2101717137 x 1119893529 x 290029667 x 2300231679 x 913792117 x 724733151 x 486913973 x 3861710001 x 15341
Negative: -1 x -153425341-23 x -6670667-29 x -5290529-73 x -2101717-137 x -1119893-529 x -290029-667 x -230023-1679 x -91379-2117 x -72473-3151 x -48691-3973 x -38617-10001 x -15341


How do I find the factor combinations of the number 153,425,341?

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 153,425,341, 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.

1 153,425,341
-1 -153,425,341

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 153,425,341.

Example:
1 x 153,425,341 = 153,425,341
and
-1 x -153,425,341 = 153,425,341
Notice both answers equal 153,425,341

With that explanation out of the way, let's continue. Next, we take the number 153,425,341 and divide it by 2:

153,425,341 ÷ 2 = 76,712,670.5

If the quotient is a whole number, then 2 and 76,712,670.5 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:

1 153,425,341
-1 -153,425,341

Now, we try dividing 153,425,341 by 3:

153,425,341 ÷ 3 = 51,141,780.3333

If the quotient is a whole number, then 3 and 51,141,780.3333 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:

1 153,425,341
-1 -153,425,341

Let's try dividing by 4:

153,425,341 ÷ 4 = 38,356,335.25

If the quotient is a whole number, then 4 and 38,356,335.25 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:

1 153,425,341
-1 153,425,341
Keep dividing by the next highest number until you cannot divide anymore.

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

12329731375296671,6792,1173,1513,97310,00115,34138,61748,69172,47391,379230,023290,0291,119,8932,101,7175,290,5296,670,667153,425,341
-1-23-29-73-137-529-667-1,679-2,117-3,151-3,973-10,001-15,341-38,617-48,691-72,473-91,379-230,023-290,029-1,119,893-2,101,717-5,290,529-6,670,667-153,425,341

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