Q: What are the prime factors of the number 761,557,100?

 A: 2, 5, 7615571

Why are those the prime factors of the number 761,557,100?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 761,557,100

761,557,100
Factor Arrows
2380,778,550
Factor Arrows
2190,389,275
Factor Arrows
538,077,855
Factor Arrows
57,615,571

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 7615571

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7,615,571 = 761,557,100

This can also be written as 22 x 52 x 7,615,5711 = 761,557,100

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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