# What multiplied by what gives you 1,050?

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Do you know how to factor a number? That would be the easiest way to see all the combinations of numbers you can multiply together to get 1050. I think the most systematic way to factor is to start taking out the primes, in order. So, in each line of numbers, you can combine them in different ways to get 2 to multiply...

2x525

2x3x175

2x3x5x35

2x3x5x5x7 And that is as far as you can go! I like to do this in an orderly fashion; then I don't leave anything out. This also works to find greatest common factors; you do it for both large numbers, take all the prime factors they have in common and multiply them together to get the GCF.

There are many possibilities:

We notice that 1050 is dividible by 5:

==> 1050 = 5* 210

Also 210 is divisible by 5:

==> 1050 = 5* 5*42

Now we notice that 42 is divisible by 2:

==> 1050 = 5*5*2*21

we can rewrite 21= 3*7

==> 1050 = 5*5*2*3*7

Now can can make many combination of 2 numbers their product will be 1050

For example:

1050 = 25*42

1050 = 50* 21

1050 = 35*30

1050 = 14*75

......etc.

factoring

1050

5*210

5*2*105

5*2*5*21

5*2*5*3*7

so it can be

10*105

5*210

50*21

150*7

6*175

14*75

and so on and so forth